{"generated_from":{"erdos":"sha256:17fd2e142","fidelity":"sha256:23b60ff35","formal_conjectures":"sha256:73f757c22","gpt_erdos":"sha256:c0f626a47","jayyhk":"sha256:e2db2d0f2","plby":"sha256:56caee303","wiki":"sha256:65f7f510a","williamjblair_lean_proofs":"sha256:b0e681bf4"},"counts":{"nodes":2736,"edges":1336,"by_node_kind":{"attestation":62,"claim":342,"condition":24,"problem":1217,"proof":392,"statement":699},"by_edge_kind":{"contradicts":11,"depends_on":26,"derived_from":699,"replicates":165,"specializes":2,"supports":433},"by_trust":{"declared":898,"machine":367,"recorded":9,"signed":62}},"nodes":[{"id":"cond:CirclesNonseparable","kind":"condition","label":"CirclesNonseparable","tier":"hypothesis","leverage":1},{"id":"cond:ConvexPosition","kind":"condition","label":"ConvexPosition","tier":"hypothesis","leverage":1},{"id":"cond:DecidableDistinctSubsetSums","kind":"condition","label":"DecidableDistinctSubsetSums","tier":"hypothesis","leverage":1},{"id":"cond:DukeTheoremStatement","kind":"condition","label":"Duke's theorem","tier":"theorem","leverage":1},{"id":"cond:Erdos281Hyp","kind":"condition","label":"Erdos281Hyp","tier":"hypothesis","leverage":1},{"id":"cond:EremenkoLempertAtZeroStatement","kind":"condition","label":"Eremenko\u2013Lempert theorem","tier":"theorem","leverage":1},{"id":"cond:Finset.add_kneser","kind":"condition","label":"Kneser's theorem","tier":"theorem","leverage":2},{"id":"cond:GoldstonGrahamPintzYildirimStatement","kind":"condition","label":"Goldston\u2013Graham\u2013Pintz\u2013Y\u0131ld\u0131r\u0131m","tier":"theorem","leverage":1},{"id":"cond:NoObtuse","kind":"condition","label":"NoObtuse","tier":"hypothesis","leverage":1},{"id":"cond:PNT_statement","kind":"condition","label":"Prime Number Theorem","tier":"theorem","leverage":1},{"id":"cond:Pollack17.theorem_1_3","kind":"condition","label":"Pollack (2017), Theorem 1.3","tier":"theorem","leverage":1},{"id":"cond:Prime","kind":"condition","label":"Prime","tier":"hypothesis","leverage":1},{"id":"cond:bernays","kind":"condition","label":"bernays","tier":"theorem","leverage":1},{"id":"cond:bm_approx_data","kind":"condition","label":"bm_approx_data","tier":"theorem","leverage":1},{"id":"cond:exact_complements","kind":"condition","label":"exact_complements","tier":"hypothesis","leverage":1},{"id":"cond:golod-shafarevich","kind":"condition","label":"Golod\u2013Shafarevich inequality","tier":"theorem","leverage":1},{"id":"cond:is_adjacent","kind":"condition","label":"is_adjacent","tier":"hypothesis","leverage":1},{"id":"cond:linnik_dvd","kind":"condition","label":"Linnik's theorem","tier":"theorem","leverage":1},{"id":"cond:maynard-tao","kind":"condition","label":"Maynard\u2013Tao theorem","tier":"theorem","leverage":2},{"id":"cond:mertens_product","kind":"condition","label":"Mertens' product theorem","tier":"theorem","leverage":1},{"id":"cond:native_decide","kind":"condition","label":"native_decide (trusted native evaluation)","tier":"compiler","leverage":1},{"id":"cond:shiu_consecutive_primes","kind":"condition","label":"Shiu's theorem","tier":"theorem","leverage":1},{"id":"cond:tao_teravainen","kind":"condition","label":"Tao\u2013Ter\u00e4v\u00e4inen theorem","tier":"theorem","leverage":1},{"id":"cond:zero_Point","kind":"condition","label":"zero_Point","tier":"hypothesis","leverage":1},{"id":"erdos:1","kind":"problem","label":"Erd\u0151s 1","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1"},{"id":"erdos:10","kind":"problem","label":"Erd\u0151s 10","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/10"},{"id":"erdos:100","kind":"problem","label":"Erd\u0151s 100","state":"open","bucket":"done","url":"https://www.erdosproblems.com/100"},{"id":"erdos:1000","kind":"problem","label":"Erd\u0151s 1000","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1000"},{"id":"erdos:1001","kind":"problem","label":"Erd\u0151s 1001","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1001"},{"id":"erdos:1002","kind":"problem","label":"Erd\u0151s 1002","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1002"},{"id":"erdos:1003","kind":"problem","label":"Erd\u0151s 1003","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1003"},{"id":"erdos:1004","kind":"problem","label":"Erd\u0151s 1004","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1004"},{"id":"erdos:1005","kind":"problem","label":"Erd\u0151s 1005","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1005"},{"id":"erdos:1006","kind":"problem","label":"Erd\u0151s 1006","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/1006"},{"id":"erdos:1007","kind":"problem","label":"Erd\u0151s 1007","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1007"},{"id":"erdos:1008","kind":"problem","label":"Erd\u0151s 1008","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1008"},{"id":"erdos:1009","kind":"problem","label":"Erd\u0151s 1009","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1009"},{"id":"erdos:101","kind":"problem","label":"Erd\u0151s 101","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/101"},{"id":"erdos:1010","kind":"problem","label":"Erd\u0151s 1010","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1010"},{"id":"erdos:1011","kind":"problem","label":"Erd\u0151s 1011","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1011"},{"id":"erdos:1012","kind":"problem","label":"Erd\u0151s 1012","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1012"},{"id":"erdos:1013","kind":"problem","label":"Erd\u0151s 1013","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1013"},{"id":"erdos:1014","kind":"problem","label":"Erd\u0151s 1014","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1014"},{"id":"erdos:1015","kind":"problem","label":"Erd\u0151s 1015","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1015"},{"id":"erdos:1016","kind":"problem","label":"Erd\u0151s 1016","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1016"},{"id":"erdos:1017","kind":"problem","label":"Erd\u0151s 1017","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1017"},{"id":"erdos:1018","kind":"problem","label":"Erd\u0151s 1018","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1018"},{"id":"erdos:1019","kind":"problem","label":"Erd\u0151s 1019","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1019"},{"id":"erdos:102","kind":"problem","label":"Erd\u0151s 102","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/102"},{"id":"erdos:1020","kind":"problem","label":"Erd\u0151s 1020","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/1020"},{"id":"erdos:1021","kind":"problem","label":"Erd\u0151s 1021","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1021"},{"id":"erdos:1022","kind":"problem","label":"Erd\u0151s 1022","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1022"},{"id":"erdos:1023","kind":"problem","label":"Erd\u0151s 1023","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1023"},{"id":"erdos:1024","kind":"problem","label":"Erd\u0151s 1024","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1024"},{"id":"erdos:1025","kind":"problem","label":"Erd\u0151s 1025","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1025"},{"id":"erdos:1026","kind":"problem","label":"Erd\u0151s 1026","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1026"},{"id":"erdos:1027","kind":"problem","label":"Erd\u0151s 1027","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1027"},{"id":"erdos:1028","kind":"problem","label":"Erd\u0151s 1028","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1028"},{"id":"erdos:1029","kind":"problem","label":"Erd\u0151s 1029","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1029"},{"id":"erdos:103","kind":"problem","label":"Erd\u0151s 103","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/103"},{"id":"erdos:1030","kind":"problem","label":"Erd\u0151s 1030","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1030"},{"id":"erdos:1031","kind":"problem","label":"Erd\u0151s 1031","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1031"},{"id":"erdos:1032","kind":"problem","label":"Erd\u0151s 1032","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1032"},{"id":"erdos:1033","kind":"problem","label":"Erd\u0151s 1033","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1033"},{"id":"erdos:1034","kind":"problem","label":"Erd\u0151s 1034","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1034"},{"id":"erdos:1035","kind":"problem","label":"Erd\u0151s 1035","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1035"},{"id":"erdos:1036","kind":"problem","label":"Erd\u0151s 1036","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1036"},{"id":"erdos:1037","kind":"problem","label":"Erd\u0151s 1037","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1037"},{"id":"erdos:1038","kind":"problem","label":"Erd\u0151s 1038","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1038"},{"id":"erdos:1039","kind":"problem","label":"Erd\u0151s 1039","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1039"},{"id":"erdos:104","kind":"problem","label":"Erd\u0151s 104","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/104"},{"id":"erdos:1040","kind":"problem","label":"Erd\u0151s 1040","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1040"},{"id":"erdos:1041","kind":"problem","label":"Erd\u0151s 1041","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/1041"},{"id":"erdos:1042","kind":"problem","label":"Erd\u0151s 1042","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1042"},{"id":"erdos:1043","kind":"problem","label":"Erd\u0151s 1043","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1043"},{"id":"erdos:1044","kind":"problem","label":"Erd\u0151s 1044","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1044"},{"id":"erdos:1045","kind":"problem","label":"Erd\u0151s 1045","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1045"},{"id":"erdos:1046","kind":"problem","label":"Erd\u0151s 1046","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/1046"},{"id":"erdos:1047","kind":"problem","label":"Erd\u0151s 1047","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1047"},{"id":"erdos:1048","kind":"problem","label":"Erd\u0151s 1048","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1048"},{"id":"erdos:1049","kind":"problem","label":"Erd\u0151s 1049","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1049"},{"id":"erdos:105","kind":"problem","label":"Erd\u0151s 105","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/105"},{"id":"erdos:1050","kind":"problem","label":"Erd\u0151s 1050","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1050"},{"id":"erdos:1051","kind":"problem","label":"Erd\u0151s 1051","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1051"},{"id":"erdos:1052","kind":"problem","label":"Erd\u0151s 1052","state":"open","bucket":"done","url":"https://www.erdosproblems.com/1052"},{"id":"erdos:1053","kind":"problem","label":"Erd\u0151s 1053","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1053"},{"id":"erdos:1054","kind":"problem","label":"Erd\u0151s 1054","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1054"},{"id":"erdos:1055","kind":"problem","label":"Erd\u0151s 1055","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1055"},{"id":"erdos:1056","kind":"problem","label":"Erd\u0151s 1056","state":"open","bucket":"partial","url":"https://www.erdosproblems.com/1056"},{"id":"erdos:1057","kind":"problem","label":"Erd\u0151s 1057","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1057"},{"id":"erdos:1058","kind":"problem","label":"Erd\u0151s 1058","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1058"},{"id":"erdos:1059","kind":"problem","label":"Erd\u0151s 1059","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1059"},{"id":"erdos:106","kind":"problem","label":"Erd\u0151s 106","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/106"},{"id":"erdos:1060","kind":"problem","label":"Erd\u0151s 1060","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1060"},{"id":"erdos:1061","kind":"problem","label":"Erd\u0151s 1061","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1061"},{"id":"erdos:1062","kind":"problem","label":"Erd\u0151s 1062","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1062"},{"id":"erdos:1063","kind":"problem","label":"Erd\u0151s 1063","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1063"},{"id":"erdos:1064","kind":"problem","label":"Erd\u0151s 1064","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1064"},{"id":"erdos:1065","kind":"problem","label":"Erd\u0151s 1065","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1065"},{"id":"erdos:1066","kind":"problem","label":"Erd\u0151s 1066","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1066"},{"id":"erdos:1067","kind":"problem","label":"Erd\u0151s 1067","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1067"},{"id":"erdos:1068","kind":"problem","label":"Erd\u0151s 1068","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1068"},{"id":"erdos:1069","kind":"problem","label":"Erd\u0151s 1069","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1069"},{"id":"erdos:107","kind":"problem","label":"Erd\u0151s 107","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/107"},{"id":"erdos:1070","kind":"problem","label":"Erd\u0151s 1070","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1070"},{"id":"erdos:1071","kind":"problem","label":"Erd\u0151s 1071","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1071"},{"id":"erdos:1072","kind":"problem","label":"Erd\u0151s 1072","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1072"},{"id":"erdos:1073","kind":"problem","label":"Erd\u0151s 1073","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1073"},{"id":"erdos:1074","kind":"problem","label":"Erd\u0151s 1074","state":"open","bucket":"done","url":"https://www.erdosproblems.com/1074"},{"id":"erdos:1075","kind":"problem","label":"Erd\u0151s 1075","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1075"},{"id":"erdos:1076","kind":"problem","label":"Erd\u0151s 1076","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1076"},{"id":"erdos:1077","kind":"problem","label":"Erd\u0151s 1077","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/1077"},{"id":"erdos:1078","kind":"problem","label":"Erd\u0151s 1078","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1078"},{"id":"erdos:1079","kind":"problem","label":"Erd\u0151s 1079","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1079"},{"id":"erdos:108","kind":"problem","label":"Erd\u0151s 108","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/108"},{"id":"erdos:1080","kind":"problem","label":"Erd\u0151s 1080","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1080"},{"id":"erdos:1081","kind":"problem","label":"Erd\u0151s 1081","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/1081"},{"id":"erdos:1082","kind":"problem","label":"Erd\u0151s 1082","state":"falsifiable","bucket":"done","url":"https://www.erdosproblems.com/1082"},{"id":"erdos:1083","kind":"problem","label":"Erd\u0151s 1083","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1083"},{"id":"erdos:1084","kind":"problem","label":"Erd\u0151s 1084","state":"open","bucket":"done","url":"https://www.erdosproblems.com/1084"},{"id":"erdos:1085","kind":"problem","label":"Erd\u0151s 1085","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1085"},{"id":"erdos:1086","kind":"problem","label":"Erd\u0151s 1086","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1086"},{"id":"erdos:1087","kind":"problem","label":"Erd\u0151s 1087","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1087"},{"id":"erdos:1088","kind":"problem","label":"Erd\u0151s 1088","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1088"},{"id":"erdos:1089","kind":"problem","label":"Erd\u0151s 1089","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1089"},{"id":"erdos:109","kind":"problem","label":"Erd\u0151s 109","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/109"},{"id":"erdos:1090","kind":"problem","label":"Erd\u0151s 1090","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1090"},{"id":"erdos:1091","kind":"problem","label":"Erd\u0151s 1091","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1091"},{"id":"erdos:1092","kind":"problem","label":"Erd\u0151s 1092","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/1092"},{"id":"erdos:1093","kind":"problem","label":"Erd\u0151s 1093","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1093"},{"id":"erdos:1094","kind":"problem","label":"Erd\u0151s 1094","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1094"},{"id":"erdos:1095","kind":"problem","label":"Erd\u0151s 1095","state":"open","bucket":"partial","url":"https://www.erdosproblems.com/1095"},{"id":"erdos:1096","kind":"problem","label":"Erd\u0151s 1096","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1096"},{"id":"erdos:1097","kind":"problem","label":"Erd\u0151s 1097","state":"open","bucket":"done","url":"https://www.erdosproblems.com/1097"},{"id":"erdos:1098","kind":"problem","label":"Erd\u0151s 1098","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1098"},{"id":"erdos:1099","kind":"problem","label":"Erd\u0151s 1099","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1099"},{"id":"erdos:11","kind":"problem","label":"Erd\u0151s 11","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/11"},{"id":"erdos:110","kind":"problem","label":"Erd\u0151s 110","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/110"},{"id":"erdos:1100","kind":"problem","label":"Erd\u0151s 1100","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1100"},{"id":"erdos:1101","kind":"problem","label":"Erd\u0151s 1101","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1101"},{"id":"erdos:1102","kind":"problem","label":"Erd\u0151s 1102","state":"solved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1102"},{"id":"erdos:1103","kind":"problem","label":"Erd\u0151s 1103","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1103"},{"id":"erdos:1104","kind":"problem","label":"Erd\u0151s 1104","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1104"},{"id":"erdos:1105","kind":"problem","label":"Erd\u0151s 1105","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1105"},{"id":"erdos:1106","kind":"problem","label":"Erd\u0151s 1106","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1106"},{"id":"erdos:1107","kind":"problem","label":"Erd\u0151s 1107","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1107"},{"id":"erdos:1108","kind":"problem","label":"Erd\u0151s 1108","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1108"},{"id":"erdos:1109","kind":"problem","label":"Erd\u0151s 1109","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1109"},{"id":"erdos:111","kind":"problem","label":"Erd\u0151s 111","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/111"},{"id":"erdos:1110","kind":"problem","label":"Erd\u0151s 1110","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1110"},{"id":"erdos:1111","kind":"problem","label":"Erd\u0151s 1111","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1111"},{"id":"erdos:1112","kind":"problem","label":"Erd\u0151s 1112","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1112"},{"id":"erdos:1113","kind":"problem","label":"Erd\u0151s 1113","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1113"},{"id":"erdos:1114","kind":"problem","label":"Erd\u0151s 1114","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1114"},{"id":"erdos:1115","kind":"problem","label":"Erd\u0151s 1115","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1115"},{"id":"erdos:1116","kind":"problem","label":"Erd\u0151s 1116","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1116"},{"id":"erdos:1117","kind":"problem","label":"Erd\u0151s 1117","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1117"},{"id":"erdos:1118","kind":"problem","label":"Erd\u0151s 1118","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/1118"},{"id":"erdos:1119","kind":"problem","label":"Erd\u0151s 1119","state":"independent","bucket":"in-pr","url":"https://www.erdosproblems.com/1119"},{"id":"erdos:112","kind":"problem","label":"Erd\u0151s 112","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/112"},{"id":"erdos:1120","kind":"problem","label":"Erd\u0151s 1120","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1120"},{"id":"erdos:1121","kind":"problem","label":"Erd\u0151s 1121","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/1121"},{"id":"erdos:1122","kind":"problem","label":"Erd\u0151s 1122","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1122"},{"id":"erdos:1123","kind":"problem","label":"Erd\u0151s 1123","state":"independent","bucket":"in-pr","url":"https://www.erdosproblems.com/1123"},{"id":"erdos:1124","kind":"problem","label":"Erd\u0151s 1124","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1124"},{"id":"erdos:1125","kind":"problem","label":"Erd\u0151s 1125","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1125"},{"id":"erdos:1126","kind":"problem","label":"Erd\u0151s 1126","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1126"},{"id":"erdos:1127","kind":"problem","label":"Erd\u0151s 1127","state":"independent","bucket":"in-pr","url":"https://www.erdosproblems.com/1127"},{"id":"erdos:1128","kind":"problem","label":"Erd\u0151s 1128","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/1128"},{"id":"erdos:1129","kind":"problem","label":"Erd\u0151s 1129","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/1129"},{"id":"erdos:113","kind":"problem","label":"Erd\u0151s 113","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/113"},{"id":"erdos:1130","kind":"problem","label":"Erd\u0151s 1130","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1130"},{"id":"erdos:1131","kind":"problem","label":"Erd\u0151s 1131","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1131"},{"id":"erdos:1132","kind":"problem","label":"Erd\u0151s 1132","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1132"},{"id":"erdos:1133","kind":"problem","label":"Erd\u0151s 1133","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1133"},{"id":"erdos:1134","kind":"problem","label":"Erd\u0151s 1134","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/1134"},{"id":"erdos:1135","kind":"problem","label":"Erd\u0151s 1135","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1135"},{"id":"erdos:1136","kind":"problem","label":"Erd\u0151s 1136","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/1136"},{"id":"erdos:1137","kind":"problem","label":"Erd\u0151s 1137","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1137"},{"id":"erdos:1138","kind":"problem","label":"Erd\u0151s 1138","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1138"},{"id":"erdos:1139","kind":"problem","label":"Erd\u0151s 1139","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1139"},{"id":"erdos:114","kind":"problem","label":"Erd\u0151s 114","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/114"},{"id":"erdos:1140","kind":"problem","label":"Erd\u0151s 1140","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/1140"},{"id":"erdos:1141","kind":"problem","label":"Erd\u0151s 1141","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1141"},{"id":"erdos:1142","kind":"problem","label":"Erd\u0151s 1142","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1142"},{"id":"erdos:1143","kind":"problem","label":"Erd\u0151s 1143","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1143"},{"id":"erdos:1144","kind":"problem","label":"Erd\u0151s 1144","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1144"},{"id":"erdos:1145","kind":"problem","label":"Erd\u0151s 1145","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1145"},{"id":"erdos:1146","kind":"problem","label":"Erd\u0151s 1146","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1146"},{"id":"erdos:1147","kind":"problem","label":"Erd\u0151s 1147","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/1147"},{"id":"erdos:1148","kind":"problem","label":"Erd\u0151s 1148","state":"proved (Lean)","bucket":"hypothesis-conditional","url":"https://www.erdosproblems.com/1148"},{"id":"erdos:1149","kind":"problem","label":"Erd\u0151s 1149","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1149"},{"id":"erdos:115","kind":"problem","label":"Erd\u0151s 115","state":"proved (Lean)","bucket":"hypothesis-conditional","url":"https://www.erdosproblems.com/115"},{"id":"erdos:1150","kind":"problem","label":"Erd\u0151s 1150","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1150"},{"id":"erdos:1151","kind":"problem","label":"Erd\u0151s 1151","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1151"},{"id":"erdos:1152","kind":"problem","label":"Erd\u0151s 1152","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1152"},{"id":"erdos:1153","kind":"problem","label":"Erd\u0151s 1153","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1153"},{"id":"erdos:1154","kind":"problem","label":"Erd\u0151s 1154","state":"not disprovable","bucket":"in-pr","url":"https://www.erdosproblems.com/1154"},{"id":"erdos:1155","kind":"problem","label":"Erd\u0151s 1155","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1155"},{"id":"erdos:1156","kind":"problem","label":"Erd\u0151s 1156","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1156"},{"id":"erdos:1157","kind":"problem","label":"Erd\u0151s 1157","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1157"},{"id":"erdos:1158","kind":"problem","label":"Erd\u0151s 1158","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1158"},{"id":"erdos:1159","kind":"problem","label":"Erd\u0151s 1159","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1159"},{"id":"erdos:116","kind":"problem","label":"Erd\u0151s 116","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/116"},{"id":"erdos:1160","kind":"problem","label":"Erd\u0151s 1160","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1160"},{"id":"erdos:1161","kind":"problem","label":"Erd\u0151s 1161","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/1161"},{"id":"erdos:1162","kind":"problem","label":"Erd\u0151s 1162","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1162"},{"id":"erdos:1163","kind":"problem","label":"Erd\u0151s 1163","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1163"},{"id":"erdos:1164","kind":"problem","label":"Erd\u0151s 1164","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1164"},{"id":"erdos:1165","kind":"problem","label":"Erd\u0151s 1165","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/1165"},{"id":"erdos:1166","kind":"problem","label":"Erd\u0151s 1166","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1166"},{"id":"erdos:1167","kind":"problem","label":"Erd\u0151s 1167","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1167"},{"id":"erdos:1168","kind":"problem","label":"Erd\u0151s 1168","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1168"},{"id":"erdos:1169","kind":"problem","label":"Erd\u0151s 1169","state":"not disprovable","bucket":"in-pr","url":"https://www.erdosproblems.com/1169"},{"id":"erdos:117","kind":"problem","label":"Erd\u0151s 117","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/117"},{"id":"erdos:1170","kind":"problem","label":"Erd\u0151s 1170","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1170"},{"id":"erdos:1171","kind":"problem","label":"Erd\u0151s 1171","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1171"},{"id":"erdos:1172","kind":"problem","label":"Erd\u0151s 1172","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1172"},{"id":"erdos:1173","kind":"problem","label":"Erd\u0151s 1173","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1173"},{"id":"erdos:1174","kind":"problem","label":"Erd\u0151s 1174","state":"not disprovable","bucket":"in-pr","url":"https://www.erdosproblems.com/1174"},{"id":"erdos:1175","kind":"problem","label":"Erd\u0151s 1175","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1175"},{"id":"erdos:1176","kind":"problem","label":"Erd\u0151s 1176","state":"not disprovable","bucket":"in-pr","url":"https://www.erdosproblems.com/1176"},{"id":"erdos:1177","kind":"problem","label":"Erd\u0151s 1177","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1177"},{"id":"erdos:1178","kind":"problem","label":"Erd\u0151s 1178","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1178"},{"id":"erdos:1179","kind":"problem","label":"Erd\u0151s 1179","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1179"},{"id":"erdos:118","kind":"problem","label":"Erd\u0151s 118","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/118"},{"id":"erdos:1180","kind":"problem","label":"Erd\u0151s 1180","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1180"},{"id":"erdos:1181","kind":"problem","label":"Erd\u0151s 1181","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1181"},{"id":"erdos:1182","kind":"problem","label":"Erd\u0151s 1182","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1182"},{"id":"erdos:1183","kind":"problem","label":"Erd\u0151s 1183","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1183"},{"id":"erdos:1184","kind":"problem","label":"Erd\u0151s 1184","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1184"},{"id":"erdos:1185","kind":"problem","label":"Erd\u0151s 1185","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/1185"},{"id":"erdos:1186","kind":"problem","label":"Erd\u0151s 1186","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1186"},{"id":"erdos:1187","kind":"problem","label":"Erd\u0151s 1187","state":"solved","bucket":"hypothesis-conditional","url":"https://www.erdosproblems.com/1187"},{"id":"erdos:1188","kind":"problem","label":"Erd\u0151s 1188","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1188"},{"id":"erdos:1189","kind":"problem","label":"Erd\u0151s 1189","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1189"},{"id":"erdos:119","kind":"problem","label":"Erd\u0151s 119","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/119"},{"id":"erdos:1190","kind":"problem","label":"Erd\u0151s 1190","state":"solved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/1190"},{"id":"erdos:1191","kind":"problem","label":"Erd\u0151s 1191","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1191"},{"id":"erdos:1192","kind":"problem","label":"Erd\u0151s 1192","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1192"},{"id":"erdos:1193","kind":"problem","label":"Erd\u0151s 1193","state":"solved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/1193"},{"id":"erdos:1194","kind":"problem","label":"Erd\u0151s 1194","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1194"},{"id":"erdos:1195","kind":"problem","label":"Erd\u0151s 1195","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/1195"},{"id":"erdos:1196","kind":"problem","label":"Erd\u0151s 1196","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/1196"},{"id":"erdos:1197","kind":"problem","label":"Erd\u0151s 1197","state":"disproved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/1197"},{"id":"erdos:1198","kind":"problem","label":"Erd\u0151s 1198","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/1198"},{"id":"erdos:1199","kind":"problem","label":"Erd\u0151s 1199","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1199"},{"id":"erdos:12","kind":"problem","label":"Erd\u0151s 12","state":"open","bucket":"done","url":"https://www.erdosproblems.com/12"},{"id":"erdos:120","kind":"problem","label":"Erd\u0151s 120","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/120"},{"id":"erdos:1200","kind":"problem","label":"Erd\u0151s 1200","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1200"},{"id":"erdos:1201","kind":"problem","label":"Erd\u0151s 1201","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1201"},{"id":"erdos:1202","kind":"problem","label":"Erd\u0151s 1202","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/1202"},{"id":"erdos:1203","kind":"problem","label":"Erd\u0151s 1203","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1203"},{"id":"erdos:1204","kind":"problem","label":"Erd\u0151s 1204","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1204"},{"id":"erdos:1205","kind":"problem","label":"Erd\u0151s 1205","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/1205"},{"id":"erdos:1206","kind":"problem","label":"Erd\u0151s 1206","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1206"},{"id":"erdos:1207","kind":"problem","label":"Erd\u0151s 1207","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1207"},{"id":"erdos:1208","kind":"problem","label":"Erd\u0151s 1208","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/1208"},{"id":"erdos:1209","kind":"problem","label":"Erd\u0151s 1209","state":"open","bucket":"done","url":"https://www.erdosproblems.com/1209"},{"id":"erdos:121","kind":"problem","label":"Erd\u0151s 121","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/121"},{"id":"erdos:1210","kind":"problem","label":"Erd\u0151s 1210","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1210"},{"id":"erdos:1211","kind":"problem","label":"Erd\u0151s 1211","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/1211"},{"id":"erdos:1212","kind":"problem","label":"Erd\u0151s 1212","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/1212"},{"id":"erdos:1213","kind":"problem","label":"Erd\u0151s 1213","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1213"},{"id":"erdos:1214","kind":"problem","label":"Erd\u0151s 1214","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1214"},{"id":"erdos:1215","kind":"problem","label":"Erd\u0151s 1215","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/1215"},{"id":"erdos:1216","kind":"problem","label":"Erd\u0151s 1216","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/1216"},{"id":"erdos:1217","kind":"problem","label":"Erd\u0151s 1217","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/1217"},{"id":"erdos:122","kind":"problem","label":"Erd\u0151s 122","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/122"},{"id":"erdos:123","kind":"problem","label":"Erd\u0151s 123","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/123"},{"id":"erdos:124","kind":"problem","label":"Erd\u0151s 124","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/124"},{"id":"erdos:125","kind":"problem","label":"Erd\u0151s 125","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/125"},{"id":"erdos:126","kind":"problem","label":"Erd\u0151s 126","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/126"},{"id":"erdos:127","kind":"problem","label":"Erd\u0151s 127","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/127"},{"id":"erdos:128","kind":"problem","label":"Erd\u0151s 128","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/128"},{"id":"erdos:129","kind":"problem","label":"Erd\u0151s 129","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/129"},{"id":"erdos:13","kind":"problem","label":"Erd\u0151s 13","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/13"},{"id":"erdos:130","kind":"problem","label":"Erd\u0151s 130","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/130"},{"id":"erdos:131","kind":"problem","label":"Erd\u0151s 131","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/131"},{"id":"erdos:132","kind":"problem","label":"Erd\u0151s 132","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/132"},{"id":"erdos:133","kind":"problem","label":"Erd\u0151s 133","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/133"},{"id":"erdos:134","kind":"problem","label":"Erd\u0151s 134","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/134"},{"id":"erdos:135","kind":"problem","label":"Erd\u0151s 135","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/135"},{"id":"erdos:136","kind":"problem","label":"Erd\u0151s 136","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/136"},{"id":"erdos:137","kind":"problem","label":"Erd\u0151s 137","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/137"},{"id":"erdos:138","kind":"problem","label":"Erd\u0151s 138","state":"open","bucket":"done","url":"https://www.erdosproblems.com/138"},{"id":"erdos:139","kind":"problem","label":"Erd\u0151s 139","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/139"},{"id":"erdos:14","kind":"problem","label":"Erd\u0151s 14","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/14"},{"id":"erdos:140","kind":"problem","label":"Erd\u0151s 140","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/140"},{"id":"erdos:141","kind":"problem","label":"Erd\u0151s 141","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/141"},{"id":"erdos:142","kind":"problem","label":"Erd\u0151s 142","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/142"},{"id":"erdos:143","kind":"problem","label":"Erd\u0151s 143","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/143"},{"id":"erdos:144","kind":"problem","label":"Erd\u0151s 144","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/144"},{"id":"erdos:145","kind":"problem","label":"Erd\u0151s 145","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/145"},{"id":"erdos:146","kind":"problem","label":"Erd\u0151s 146","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/146"},{"id":"erdos:147","kind":"problem","label":"Erd\u0151s 147","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/147"},{"id":"erdos:148","kind":"problem","label":"Erd\u0151s 148","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/148"},{"id":"erdos:149","kind":"problem","label":"Erd\u0151s 149","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/149"},{"id":"erdos:15","kind":"problem","label":"Erd\u0151s 15","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/15"},{"id":"erdos:150","kind":"problem","label":"Erd\u0151s 150","state":"proved (Lean)","bucket":"needs-human-match-check","url":"https://www.erdosproblems.com/150"},{"id":"erdos:151","kind":"problem","label":"Erd\u0151s 151","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/151"},{"id":"erdos:152","kind":"problem","label":"Erd\u0151s 152","state":"proved","bucket":"done","url":"https://www.erdosproblems.com/152"},{"id":"erdos:153","kind":"problem","label":"Erd\u0151s 153","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/153"},{"id":"erdos:154","kind":"problem","label":"Erd\u0151s 154","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/154"},{"id":"erdos:155","kind":"problem","label":"Erd\u0151s 155","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/155"},{"id":"erdos:156","kind":"problem","label":"Erd\u0151s 156","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/156"},{"id":"erdos:157","kind":"problem","label":"Erd\u0151s 157","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/157"},{"id":"erdos:158","kind":"problem","label":"Erd\u0151s 158","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/158"},{"id":"erdos:159","kind":"problem","label":"Erd\u0151s 159","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/159"},{"id":"erdos:16","kind":"problem","label":"Erd\u0151s 16","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/16"},{"id":"erdos:160","kind":"problem","label":"Erd\u0151s 160","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/160"},{"id":"erdos:161","kind":"problem","label":"Erd\u0151s 161","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/161"},{"id":"erdos:162","kind":"problem","label":"Erd\u0151s 162","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/162"},{"id":"erdos:163","kind":"problem","label":"Erd\u0151s 163","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/163"},{"id":"erdos:164","kind":"problem","label":"Erd\u0151s 164","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/164"},{"id":"erdos:165","kind":"problem","label":"Erd\u0151s 165","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/165"},{"id":"erdos:166","kind":"problem","label":"Erd\u0151s 166","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/166"},{"id":"erdos:167","kind":"problem","label":"Erd\u0151s 167","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/167"},{"id":"erdos:168","kind":"problem","label":"Erd\u0151s 168","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/168"},{"id":"erdos:169","kind":"problem","label":"Erd\u0151s 169","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/169"},{"id":"erdos:17","kind":"problem","label":"Erd\u0151s 17","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/17"},{"id":"erdos:170","kind":"problem","label":"Erd\u0151s 170","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/170"},{"id":"erdos:171","kind":"problem","label":"Erd\u0151s 171","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/171"},{"id":"erdos:172","kind":"problem","label":"Erd\u0151s 172","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/172"},{"id":"erdos:173","kind":"problem","label":"Erd\u0151s 173","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/173"},{"id":"erdos:174","kind":"problem","label":"Erd\u0151s 174","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/174"},{"id":"erdos:175","kind":"problem","label":"Erd\u0151s 175","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/175"},{"id":"erdos:176","kind":"problem","label":"Erd\u0151s 176","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/176"},{"id":"erdos:177","kind":"problem","label":"Erd\u0151s 177","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/177"},{"id":"erdos:178","kind":"problem","label":"Erd\u0151s 178","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/178"},{"id":"erdos:179","kind":"problem","label":"Erd\u0151s 179","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/179"},{"id":"erdos:18","kind":"problem","label":"Erd\u0151s 18","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/18"},{"id":"erdos:180","kind":"problem","label":"Erd\u0151s 180","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/180"},{"id":"erdos:181","kind":"problem","label":"Erd\u0151s 181","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/181"},{"id":"erdos:182","kind":"problem","label":"Erd\u0151s 182","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/182"},{"id":"erdos:183","kind":"problem","label":"Erd\u0151s 183","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/183"},{"id":"erdos:184","kind":"problem","label":"Erd\u0151s 184","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/184"},{"id":"erdos:185","kind":"problem","label":"Erd\u0151s 185","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/185"},{"id":"erdos:186","kind":"problem","label":"Erd\u0151s 186","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/186"},{"id":"erdos:187","kind":"problem","label":"Erd\u0151s 187","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/187"},{"id":"erdos:188","kind":"problem","label":"Erd\u0151s 188","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/188"},{"id":"erdos:189","kind":"problem","label":"Erd\u0151s 189","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/189"},{"id":"erdos:19","kind":"problem","label":"Erd\u0151s 19","state":"decidable","bucket":"in-pr","url":"https://www.erdosproblems.com/19"},{"id":"erdos:190","kind":"problem","label":"Erd\u0151s 190","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/190"},{"id":"erdos:191","kind":"problem","label":"Erd\u0151s 191","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/191"},{"id":"erdos:192","kind":"problem","label":"Erd\u0151s 192","state":"solved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/192"},{"id":"erdos:193","kind":"problem","label":"Erd\u0151s 193","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/193"},{"id":"erdos:194","kind":"problem","label":"Erd\u0151s 194","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/194"},{"id":"erdos:195","kind":"problem","label":"Erd\u0151s 195","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/195"},{"id":"erdos:196","kind":"problem","label":"Erd\u0151s 196","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/196"},{"id":"erdos:197","kind":"problem","label":"Erd\u0151s 197","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/197"},{"id":"erdos:198","kind":"problem","label":"Erd\u0151s 198","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/198"},{"id":"erdos:199","kind":"problem","label":"Erd\u0151s 199","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/199"},{"id":"erdos:2","kind":"problem","label":"Erd\u0151s 2","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/2"},{"id":"erdos:20","kind":"problem","label":"Erd\u0151s 20","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/20"},{"id":"erdos:200","kind":"problem","label":"Erd\u0151s 200","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/200"},{"id":"erdos:201","kind":"problem","label":"Erd\u0151s 201","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/201"},{"id":"erdos:202","kind":"problem","label":"Erd\u0151s 202","state":"solved (Lean)","bucket":"needs-human-match-check","url":"https://www.erdosproblems.com/202"},{"id":"erdos:203","kind":"problem","label":"Erd\u0151s 203","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/203"},{"id":"erdos:204","kind":"problem","label":"Erd\u0151s 204","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/204"},{"id":"erdos:205","kind":"problem","label":"Erd\u0151s 205","state":"disproved (Lean)","bucket":"hypothesis-conditional","url":"https://www.erdosproblems.com/205"},{"id":"erdos:206","kind":"problem","label":"Erd\u0151s 206","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/206"},{"id":"erdos:207","kind":"problem","label":"Erd\u0151s 207","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/207"},{"id":"erdos:208","kind":"problem","label":"Erd\u0151s 208","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/208"},{"id":"erdos:209","kind":"problem","label":"Erd\u0151s 209","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/209"},{"id":"erdos:21","kind":"problem","label":"Erd\u0151s 21","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/21"},{"id":"erdos:210","kind":"problem","label":"Erd\u0151s 210","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/210"},{"id":"erdos:211","kind":"problem","label":"Erd\u0151s 211","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/211"},{"id":"erdos:212","kind":"problem","label":"Erd\u0151s 212","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/212"},{"id":"erdos:213","kind":"problem","label":"Erd\u0151s 213","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/213"},{"id":"erdos:214","kind":"problem","label":"Erd\u0151s 214","state":"proved (Lean)","bucket":"mismatch","url":"https://www.erdosproblems.com/214"},{"id":"erdos:215","kind":"problem","label":"Erd\u0151s 215","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/215"},{"id":"erdos:216","kind":"problem","label":"Erd\u0151s 216","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/216"},{"id":"erdos:217","kind":"problem","label":"Erd\u0151s 217","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/217"},{"id":"erdos:218","kind":"problem","label":"Erd\u0151s 218","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/218"},{"id":"erdos:219","kind":"problem","label":"Erd\u0151s 219","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/219"},{"id":"erdos:22","kind":"problem","label":"Erd\u0151s 22","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/22"},{"id":"erdos:220","kind":"problem","label":"Erd\u0151s 220","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/220"},{"id":"erdos:221","kind":"problem","label":"Erd\u0151s 221","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/221"},{"id":"erdos:222","kind":"problem","label":"Erd\u0151s 222","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/222"},{"id":"erdos:223","kind":"problem","label":"Erd\u0151s 223","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/223"},{"id":"erdos:224","kind":"problem","label":"Erd\u0151s 224","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/224"},{"id":"erdos:225","kind":"problem","label":"Erd\u0151s 225","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/225"},{"id":"erdos:226","kind":"problem","label":"Erd\u0151s 226","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/226"},{"id":"erdos:227","kind":"problem","label":"Erd\u0151s 227","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/227"},{"id":"erdos:228","kind":"problem","label":"Erd\u0151s 228","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/228"},{"id":"erdos:229","kind":"problem","label":"Erd\u0151s 229","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/229"},{"id":"erdos:23","kind":"problem","label":"Erd\u0151s 23","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/23"},{"id":"erdos:230","kind":"problem","label":"Erd\u0151s 230","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/230"},{"id":"erdos:231","kind":"problem","label":"Erd\u0151s 231","state":"disproved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/231"},{"id":"erdos:232","kind":"problem","label":"Erd\u0151s 232","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/232"},{"id":"erdos:233","kind":"problem","label":"Erd\u0151s 233","state":"open","bucket":"done","url":"https://www.erdosproblems.com/233"},{"id":"erdos:234","kind":"problem","label":"Erd\u0151s 234","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/234"},{"id":"erdos:235","kind":"problem","label":"Erd\u0151s 235","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/235"},{"id":"erdos:236","kind":"problem","label":"Erd\u0151s 236","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/236"},{"id":"erdos:237","kind":"problem","label":"Erd\u0151s 237","state":"proved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/237"},{"id":"erdos:238","kind":"problem","label":"Erd\u0151s 238","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/238"},{"id":"erdos:239","kind":"problem","label":"Erd\u0151s 239","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/239"},{"id":"erdos:24","kind":"problem","label":"Erd\u0151s 24","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/24"},{"id":"erdos:240","kind":"problem","label":"Erd\u0151s 240","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/240"},{"id":"erdos:241","kind":"problem","label":"Erd\u0151s 241","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/241"},{"id":"erdos:242","kind":"problem","label":"Erd\u0151s 242","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/242"},{"id":"erdos:243","kind":"problem","label":"Erd\u0151s 243","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/243"},{"id":"erdos:244","kind":"problem","label":"Erd\u0151s 244","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/244"},{"id":"erdos:245","kind":"problem","label":"Erd\u0151s 245","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/245"},{"id":"erdos:246","kind":"problem","label":"Erd\u0151s 246","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/246"},{"id":"erdos:247","kind":"problem","label":"Erd\u0151s 247","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/247"},{"id":"erdos:248","kind":"problem","label":"Erd\u0151s 248","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/248"},{"id":"erdos:249","kind":"problem","label":"Erd\u0151s 249","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/249"},{"id":"erdos:25","kind":"problem","label":"Erd\u0151s 25","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/25"},{"id":"erdos:250","kind":"problem","label":"Erd\u0151s 250","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/250"},{"id":"erdos:251","kind":"problem","label":"Erd\u0151s 251","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/251"},{"id":"erdos:252","kind":"problem","label":"Erd\u0151s 252","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/252"},{"id":"erdos:253","kind":"problem","label":"Erd\u0151s 253","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/253"},{"id":"erdos:254","kind":"problem","label":"Erd\u0151s 254","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/254"},{"id":"erdos:255","kind":"problem","label":"Erd\u0151s 255","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/255"},{"id":"erdos:256","kind":"problem","label":"Erd\u0151s 256","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/256"},{"id":"erdos:257","kind":"problem","label":"Erd\u0151s 257","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/257"},{"id":"erdos:258","kind":"problem","label":"Erd\u0151s 258","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/258"},{"id":"erdos:259","kind":"problem","label":"Erd\u0151s 259","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/259"},{"id":"erdos:26","kind":"problem","label":"Erd\u0151s 26","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/26"},{"id":"erdos:260","kind":"problem","label":"Erd\u0151s 260","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/260"},{"id":"erdos:261","kind":"problem","label":"Erd\u0151s 261","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/261"},{"id":"erdos:262","kind":"problem","label":"Erd\u0151s 262","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/262"},{"id":"erdos:263","kind":"problem","label":"Erd\u0151s 263","state":"open","bucket":"done","url":"https://www.erdosproblems.com/263"},{"id":"erdos:264","kind":"problem","label":"Erd\u0151s 264","state":"open","bucket":"partial","url":"https://www.erdosproblems.com/264"},{"id":"erdos:265","kind":"problem","label":"Erd\u0151s 265","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/265"},{"id":"erdos:266","kind":"problem","label":"Erd\u0151s 266","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/266"},{"id":"erdos:267","kind":"problem","label":"Erd\u0151s 267","state":"open","bucket":"done","url":"https://www.erdosproblems.com/267"},{"id":"erdos:268","kind":"problem","label":"Erd\u0151s 268","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/268"},{"id":"erdos:269","kind":"problem","label":"Erd\u0151s 269","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/269"},{"id":"erdos:27","kind":"problem","label":"Erd\u0151s 27","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/27"},{"id":"erdos:270","kind":"problem","label":"Erd\u0151s 270","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/270"},{"id":"erdos:271","kind":"problem","label":"Erd\u0151s 271","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/271"},{"id":"erdos:272","kind":"problem","label":"Erd\u0151s 272","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/272"},{"id":"erdos:273","kind":"problem","label":"Erd\u0151s 273","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/273"},{"id":"erdos:274","kind":"problem","label":"Erd\u0151s 274","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/274"},{"id":"erdos:275","kind":"problem","label":"Erd\u0151s 275","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/275"},{"id":"erdos:276","kind":"problem","label":"Erd\u0151s 276","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/276"},{"id":"erdos:277","kind":"problem","label":"Erd\u0151s 277","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/277"},{"id":"erdos:278","kind":"problem","label":"Erd\u0151s 278","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/278"},{"id":"erdos:279","kind":"problem","label":"Erd\u0151s 279","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/279"},{"id":"erdos:28","kind":"problem","label":"Erd\u0151s 28","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/28"},{"id":"erdos:280","kind":"problem","label":"Erd\u0151s 280","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/280"},{"id":"erdos:281","kind":"problem","label":"Erd\u0151s 281","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/281"},{"id":"erdos:282","kind":"problem","label":"Erd\u0151s 282","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/282"},{"id":"erdos:283","kind":"problem","label":"Erd\u0151s 283","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/283"},{"id":"erdos:284","kind":"problem","label":"Erd\u0151s 284","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/284"},{"id":"erdos:285","kind":"problem","label":"Erd\u0151s 285","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/285"},{"id":"erdos:286","kind":"problem","label":"Erd\u0151s 286","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/286"},{"id":"erdos:287","kind":"problem","label":"Erd\u0151s 287","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/287"},{"id":"erdos:288","kind":"problem","label":"Erd\u0151s 288","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/288"},{"id":"erdos:289","kind":"problem","label":"Erd\u0151s 289","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/289"},{"id":"erdos:29","kind":"problem","label":"Erd\u0151s 29","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/29"},{"id":"erdos:290","kind":"problem","label":"Erd\u0151s 290","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/290"},{"id":"erdos:291","kind":"problem","label":"Erd\u0151s 291","state":"open","bucket":"partial","url":"https://www.erdosproblems.com/291"},{"id":"erdos:292","kind":"problem","label":"Erd\u0151s 292","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/292"},{"id":"erdos:293","kind":"problem","label":"Erd\u0151s 293","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/293"},{"id":"erdos:294","kind":"problem","label":"Erd\u0151s 294","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/294"},{"id":"erdos:295","kind":"problem","label":"Erd\u0151s 295","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/295"},{"id":"erdos:296","kind":"problem","label":"Erd\u0151s 296","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/296"},{"id":"erdos:297","kind":"problem","label":"Erd\u0151s 297","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/297"},{"id":"erdos:298","kind":"problem","label":"Erd\u0151s 298","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/298"},{"id":"erdos:299","kind":"problem","label":"Erd\u0151s 299","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/299"},{"id":"erdos:3","kind":"problem","label":"Erd\u0151s 3","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/3"},{"id":"erdos:30","kind":"problem","label":"Erd\u0151s 30","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/30"},{"id":"erdos:300","kind":"problem","label":"Erd\u0151s 300","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/300"},{"id":"erdos:301","kind":"problem","label":"Erd\u0151s 301","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/301"},{"id":"erdos:302","kind":"problem","label":"Erd\u0151s 302","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/302"},{"id":"erdos:303","kind":"problem","label":"Erd\u0151s 303","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/303"},{"id":"erdos:304","kind":"problem","label":"Erd\u0151s 304","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/304"},{"id":"erdos:305","kind":"problem","label":"Erd\u0151s 305","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/305"},{"id":"erdos:306","kind":"problem","label":"Erd\u0151s 306","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/306"},{"id":"erdos:307","kind":"problem","label":"Erd\u0151s 307","state":"verifiable","bucket":"done","url":"https://www.erdosproblems.com/307"},{"id":"erdos:308","kind":"problem","label":"Erd\u0151s 308","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/308"},{"id":"erdos:309","kind":"problem","label":"Erd\u0151s 309","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/309"},{"id":"erdos:31","kind":"problem","label":"Erd\u0151s 31","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/31"},{"id":"erdos:310","kind":"problem","label":"Erd\u0151s 310","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/310"},{"id":"erdos:311","kind":"problem","label":"Erd\u0151s 311","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/311"},{"id":"erdos:312","kind":"problem","label":"Erd\u0151s 312","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/312"},{"id":"erdos:313","kind":"problem","label":"Erd\u0151s 313","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/313"},{"id":"erdos:314","kind":"problem","label":"Erd\u0151s 314","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/314"},{"id":"erdos:315","kind":"problem","label":"Erd\u0151s 315","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/315"},{"id":"erdos:316","kind":"problem","label":"Erd\u0151s 316","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/316"},{"id":"erdos:317","kind":"problem","label":"Erd\u0151s 317","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/317"},{"id":"erdos:318","kind":"problem","label":"Erd\u0151s 318","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/318"},{"id":"erdos:319","kind":"problem","label":"Erd\u0151s 319","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/319"},{"id":"erdos:32","kind":"problem","label":"Erd\u0151s 32","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/32"},{"id":"erdos:320","kind":"problem","label":"Erd\u0151s 320","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/320"},{"id":"erdos:321","kind":"problem","label":"Erd\u0151s 321","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/321"},{"id":"erdos:322","kind":"problem","label":"Erd\u0151s 322","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/322"},{"id":"erdos:323","kind":"problem","label":"Erd\u0151s 323","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/323"},{"id":"erdos:324","kind":"problem","label":"Erd\u0151s 324","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/324"},{"id":"erdos:325","kind":"problem","label":"Erd\u0151s 325","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/325"},{"id":"erdos:326","kind":"problem","label":"Erd\u0151s 326","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/326"},{"id":"erdos:327","kind":"problem","label":"Erd\u0151s 327","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/327"},{"id":"erdos:328","kind":"problem","label":"Erd\u0151s 328","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/328"},{"id":"erdos:329","kind":"problem","label":"Erd\u0151s 329","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/329"},{"id":"erdos:33","kind":"problem","label":"Erd\u0151s 33","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/33"},{"id":"erdos:330","kind":"problem","label":"Erd\u0151s 330","state":"proved (Lean)","bucket":"needs-statement-update","url":"https://www.erdosproblems.com/330"},{"id":"erdos:331","kind":"problem","label":"Erd\u0151s 331","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/331"},{"id":"erdos:332","kind":"problem","label":"Erd\u0151s 332","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/332"},{"id":"erdos:333","kind":"problem","label":"Erd\u0151s 333","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/333"},{"id":"erdos:334","kind":"problem","label":"Erd\u0151s 334","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/334"},{"id":"erdos:335","kind":"problem","label":"Erd\u0151s 335","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/335"},{"id":"erdos:336","kind":"problem","label":"Erd\u0151s 336","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/336"},{"id":"erdos:337","kind":"problem","label":"Erd\u0151s 337","state":"disproved (Lean)","bucket":"mismatch","url":"https://www.erdosproblems.com/337"},{"id":"erdos:338","kind":"problem","label":"Erd\u0151s 338","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/338"},{"id":"erdos:339","kind":"problem","label":"Erd\u0151s 339","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/339"},{"id":"erdos:34","kind":"problem","label":"Erd\u0151s 34","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/34"},{"id":"erdos:340","kind":"problem","label":"Erd\u0151s 340","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/340"},{"id":"erdos:341","kind":"problem","label":"Erd\u0151s 341","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/341"},{"id":"erdos:342","kind":"problem","label":"Erd\u0151s 342","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/342"},{"id":"erdos:343","kind":"problem","label":"Erd\u0151s 343","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/343"},{"id":"erdos:344","kind":"problem","label":"Erd\u0151s 344","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/344"},{"id":"erdos:345","kind":"problem","label":"Erd\u0151s 345","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/345"},{"id":"erdos:346","kind":"problem","label":"Erd\u0151s 346","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/346"},{"id":"erdos:347","kind":"problem","label":"Erd\u0151s 347","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/347"},{"id":"erdos:348","kind":"problem","label":"Erd\u0151s 348","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/348"},{"id":"erdos:349","kind":"problem","label":"Erd\u0151s 349","state":"open","bucket":"done","url":"https://www.erdosproblems.com/349"},{"id":"erdos:35","kind":"problem","label":"Erd\u0151s 35","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/35"},{"id":"erdos:350","kind":"problem","label":"Erd\u0151s 350","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/350"},{"id":"erdos:351","kind":"problem","label":"Erd\u0151s 351","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/351"},{"id":"erdos:352","kind":"problem","label":"Erd\u0151s 352","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/352"},{"id":"erdos:353","kind":"problem","label":"Erd\u0151s 353","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/353"},{"id":"erdos:354","kind":"problem","label":"Erd\u0151s 354","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/354"},{"id":"erdos:355","kind":"problem","label":"Erd\u0151s 355","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/355"},{"id":"erdos:356","kind":"problem","label":"Erd\u0151s 356","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/356"},{"id":"erdos:357","kind":"problem","label":"Erd\u0151s 357","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/357"},{"id":"erdos:358","kind":"problem","label":"Erd\u0151s 358","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/358"},{"id":"erdos:359","kind":"problem","label":"Erd\u0151s 359","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/359"},{"id":"erdos:36","kind":"problem","label":"Erd\u0151s 36","state":"open","bucket":"done","url":"https://www.erdosproblems.com/36"},{"id":"erdos:360","kind":"problem","label":"Erd\u0151s 360","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/360"},{"id":"erdos:361","kind":"problem","label":"Erd\u0151s 361","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/361"},{"id":"erdos:362","kind":"problem","label":"Erd\u0151s 362","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/362"},{"id":"erdos:363","kind":"problem","label":"Erd\u0151s 363","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/363"},{"id":"erdos:364","kind":"problem","label":"Erd\u0151s 364","state":"verifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/364"},{"id":"erdos:365","kind":"problem","label":"Erd\u0151s 365","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/365"},{"id":"erdos:366","kind":"problem","label":"Erd\u0151s 366","state":"verifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/366"},{"id":"erdos:367","kind":"problem","label":"Erd\u0151s 367","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/367"},{"id":"erdos:368","kind":"problem","label":"Erd\u0151s 368","state":"open","bucket":"partial","url":"https://www.erdosproblems.com/368"},{"id":"erdos:369","kind":"problem","label":"Erd\u0151s 369","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/369"},{"id":"erdos:37","kind":"problem","label":"Erd\u0151s 37","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/37"},{"id":"erdos:370","kind":"problem","label":"Erd\u0151s 370","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/370"},{"id":"erdos:371","kind":"problem","label":"Erd\u0151s 371","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/371"},{"id":"erdos:372","kind":"problem","label":"Erd\u0151s 372","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/372"},{"id":"erdos:373","kind":"problem","label":"Erd\u0151s 373","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/373"},{"id":"erdos:374","kind":"problem","label":"Erd\u0151s 374","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/374"},{"id":"erdos:375","kind":"problem","label":"Erd\u0151s 375","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/375"},{"id":"erdos:376","kind":"problem","label":"Erd\u0151s 376","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/376"},{"id":"erdos:377","kind":"problem","label":"Erd\u0151s 377","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/377"},{"id":"erdos:378","kind":"problem","label":"Erd\u0151s 378","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/378"},{"id":"erdos:379","kind":"problem","label":"Erd\u0151s 379","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/379"},{"id":"erdos:38","kind":"problem","label":"Erd\u0151s 38","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/38"},{"id":"erdos:380","kind":"problem","label":"Erd\u0151s 380","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/380"},{"id":"erdos:381","kind":"problem","label":"Erd\u0151s 381","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/381"},{"id":"erdos:382","kind":"problem","label":"Erd\u0151s 382","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/382"},{"id":"erdos:383","kind":"problem","label":"Erd\u0151s 383","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/383"},{"id":"erdos:384","kind":"problem","label":"Erd\u0151s 384","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/384"},{"id":"erdos:385","kind":"problem","label":"Erd\u0151s 385","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/385"},{"id":"erdos:386","kind":"problem","label":"Erd\u0151s 386","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/386"},{"id":"erdos:387","kind":"problem","label":"Erd\u0151s 387","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/387"},{"id":"erdos:388","kind":"problem","label":"Erd\u0151s 388","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/388"},{"id":"erdos:389","kind":"problem","label":"Erd\u0151s 389","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/389"},{"id":"erdos:39","kind":"problem","label":"Erd\u0151s 39","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/39"},{"id":"erdos:390","kind":"problem","label":"Erd\u0151s 390","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/390"},{"id":"erdos:391","kind":"problem","label":"Erd\u0151s 391","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/391"},{"id":"erdos:392","kind":"problem","label":"Erd\u0151s 392","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/392"},{"id":"erdos:393","kind":"problem","label":"Erd\u0151s 393","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/393"},{"id":"erdos:394","kind":"problem","label":"Erd\u0151s 394","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/394"},{"id":"erdos:395","kind":"problem","label":"Erd\u0151s 395","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/395"},{"id":"erdos:396","kind":"problem","label":"Erd\u0151s 396","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/396"},{"id":"erdos:397","kind":"problem","label":"Erd\u0151s 397","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/397"},{"id":"erdos:398","kind":"problem","label":"Erd\u0151s 398","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/398"},{"id":"erdos:399","kind":"problem","label":"Erd\u0151s 399","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/399"},{"id":"erdos:4","kind":"problem","label":"Erd\u0151s 4","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/4"},{"id":"erdos:40","kind":"problem","label":"Erd\u0151s 40","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/40"},{"id":"erdos:400","kind":"problem","label":"Erd\u0151s 400","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/400"},{"id":"erdos:401","kind":"problem","label":"Erd\u0151s 401","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/401"},{"id":"erdos:402","kind":"problem","label":"Erd\u0151s 402","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/402"},{"id":"erdos:403","kind":"problem","label":"Erd\u0151s 403","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/403"},{"id":"erdos:404","kind":"problem","label":"Erd\u0151s 404","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/404"},{"id":"erdos:405","kind":"problem","label":"Erd\u0151s 405","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/405"},{"id":"erdos:406","kind":"problem","label":"Erd\u0151s 406","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/406"},{"id":"erdos:407","kind":"problem","label":"Erd\u0151s 407","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/407"},{"id":"erdos:408","kind":"problem","label":"Erd\u0151s 408","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/408"},{"id":"erdos:409","kind":"problem","label":"Erd\u0151s 409","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/409"},{"id":"erdos:41","kind":"problem","label":"Erd\u0151s 41","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/41"},{"id":"erdos:410","kind":"problem","label":"Erd\u0151s 410","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/410"},{"id":"erdos:411","kind":"problem","label":"Erd\u0151s 411","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/411"},{"id":"erdos:412","kind":"problem","label":"Erd\u0151s 412","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/412"},{"id":"erdos:413","kind":"problem","label":"Erd\u0151s 413","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/413"},{"id":"erdos:414","kind":"problem","label":"Erd\u0151s 414","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/414"},{"id":"erdos:415","kind":"problem","label":"Erd\u0151s 415","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/415"},{"id":"erdos:416","kind":"problem","label":"Erd\u0151s 416","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/416"},{"id":"erdos:417","kind":"problem","label":"Erd\u0151s 417","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/417"},{"id":"erdos:418","kind":"problem","label":"Erd\u0151s 418","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/418"},{"id":"erdos:419","kind":"problem","label":"Erd\u0151s 419","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/419"},{"id":"erdos:42","kind":"problem","label":"Erd\u0151s 42","state":"solved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/42"},{"id":"erdos:420","kind":"problem","label":"Erd\u0151s 420","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/420"},{"id":"erdos:421","kind":"problem","label":"Erd\u0151s 421","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/421"},{"id":"erdos:422","kind":"problem","label":"Erd\u0151s 422","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/422"},{"id":"erdos:423","kind":"problem","label":"Erd\u0151s 423","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/423"},{"id":"erdos:424","kind":"problem","label":"Erd\u0151s 424","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/424"},{"id":"erdos:425","kind":"problem","label":"Erd\u0151s 425","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/425"},{"id":"erdos:426","kind":"problem","label":"Erd\u0151s 426","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/426"},{"id":"erdos:427","kind":"problem","label":"Erd\u0151s 427","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/427"},{"id":"erdos:428","kind":"problem","label":"Erd\u0151s 428","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/428"},{"id":"erdos:429","kind":"problem","label":"Erd\u0151s 429","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/429"},{"id":"erdos:43","kind":"problem","label":"Erd\u0151s 43","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/43"},{"id":"erdos:430","kind":"problem","label":"Erd\u0151s 430","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/430"},{"id":"erdos:431","kind":"problem","label":"Erd\u0151s 431","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/431"},{"id":"erdos:432","kind":"problem","label":"Erd\u0151s 432","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/432"},{"id":"erdos:433","kind":"problem","label":"Erd\u0151s 433","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/433"},{"id":"erdos:434","kind":"problem","label":"Erd\u0151s 434","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/434"},{"id":"erdos:435","kind":"problem","label":"Erd\u0151s 435","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/435"},{"id":"erdos:436","kind":"problem","label":"Erd\u0151s 436","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/436"},{"id":"erdos:437","kind":"problem","label":"Erd\u0151s 437","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/437"},{"id":"erdos:438","kind":"problem","label":"Erd\u0151s 438","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/438"},{"id":"erdos:439","kind":"problem","label":"Erd\u0151s 439","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/439"},{"id":"erdos:44","kind":"problem","label":"Erd\u0151s 44","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/44"},{"id":"erdos:440","kind":"problem","label":"Erd\u0151s 440","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/440"},{"id":"erdos:441","kind":"problem","label":"Erd\u0151s 441","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/441"},{"id":"erdos:442","kind":"problem","label":"Erd\u0151s 442","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/442"},{"id":"erdos:443","kind":"problem","label":"Erd\u0151s 443","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/443"},{"id":"erdos:444","kind":"problem","label":"Erd\u0151s 444","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/444"},{"id":"erdos:445","kind":"problem","label":"Erd\u0151s 445","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/445"},{"id":"erdos:446","kind":"problem","label":"Erd\u0151s 446","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/446"},{"id":"erdos:447","kind":"problem","label":"Erd\u0151s 447","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/447"},{"id":"erdos:448","kind":"problem","label":"Erd\u0151s 448","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/448"},{"id":"erdos:449","kind":"problem","label":"Erd\u0151s 449","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/449"},{"id":"erdos:45","kind":"problem","label":"Erd\u0151s 45","state":"proved (Lean)","bucket":"blocked-claim","url":"https://www.erdosproblems.com/45"},{"id":"erdos:450","kind":"problem","label":"Erd\u0151s 450","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/450"},{"id":"erdos:451","kind":"problem","label":"Erd\u0151s 451","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/451"},{"id":"erdos:452","kind":"problem","label":"Erd\u0151s 452","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/452"},{"id":"erdos:453","kind":"problem","label":"Erd\u0151s 453","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/453"},{"id":"erdos:454","kind":"problem","label":"Erd\u0151s 454","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/454"},{"id":"erdos:455","kind":"problem","label":"Erd\u0151s 455","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/455"},{"id":"erdos:456","kind":"problem","label":"Erd\u0151s 456","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/456"},{"id":"erdos:457","kind":"problem","label":"Erd\u0151s 457","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/457"},{"id":"erdos:458","kind":"problem","label":"Erd\u0151s 458","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/458"},{"id":"erdos:459","kind":"problem","label":"Erd\u0151s 459","state":"solved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/459"},{"id":"erdos:46","kind":"problem","label":"Erd\u0151s 46","state":"proved (Lean)","bucket":"blocked-claim","url":"https://www.erdosproblems.com/46"},{"id":"erdos:460","kind":"problem","label":"Erd\u0151s 460","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/460"},{"id":"erdos:461","kind":"problem","label":"Erd\u0151s 461","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/461"},{"id":"erdos:462","kind":"problem","label":"Erd\u0151s 462","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/462"},{"id":"erdos:463","kind":"problem","label":"Erd\u0151s 463","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/463"},{"id":"erdos:464","kind":"problem","label":"Erd\u0151s 464","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/464"},{"id":"erdos:465","kind":"problem","label":"Erd\u0151s 465","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/465"},{"id":"erdos:466","kind":"problem","label":"Erd\u0151s 466","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/466"},{"id":"erdos:467","kind":"problem","label":"Erd\u0151s 467","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/467"},{"id":"erdos:468","kind":"problem","label":"Erd\u0151s 468","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/468"},{"id":"erdos:469","kind":"problem","label":"Erd\u0151s 469","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/469"},{"id":"erdos:47","kind":"problem","label":"Erd\u0151s 47","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/47"},{"id":"erdos:470","kind":"problem","label":"Erd\u0151s 470","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/470"},{"id":"erdos:471","kind":"problem","label":"Erd\u0151s 471","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/471"},{"id":"erdos:472","kind":"problem","label":"Erd\u0151s 472","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/472"},{"id":"erdos:473","kind":"problem","label":"Erd\u0151s 473","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/473"},{"id":"erdos:474","kind":"problem","label":"Erd\u0151s 474","state":"not provable","bucket":"in-pr","url":"https://www.erdosproblems.com/474"},{"id":"erdos:475","kind":"problem","label":"Erd\u0151s 475","state":"decidable","bucket":"no-proof","url":"https://www.erdosproblems.com/475"},{"id":"erdos:476","kind":"problem","label":"Erd\u0151s 476","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/476"},{"id":"erdos:477","kind":"problem","label":"Erd\u0151s 477","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/477"},{"id":"erdos:478","kind":"problem","label":"Erd\u0151s 478","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/478"},{"id":"erdos:479","kind":"problem","label":"Erd\u0151s 479","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/479"},{"id":"erdos:48","kind":"problem","label":"Erd\u0151s 48","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/48"},{"id":"erdos:480","kind":"problem","label":"Erd\u0151s 480","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/480"},{"id":"erdos:481","kind":"problem","label":"Erd\u0151s 481","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/481"},{"id":"erdos:482","kind":"problem","label":"Erd\u0151s 482","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/482"},{"id":"erdos:483","kind":"problem","label":"Erd\u0151s 483","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/483"},{"id":"erdos:484","kind":"problem","label":"Erd\u0151s 484","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/484"},{"id":"erdos:485","kind":"problem","label":"Erd\u0151s 485","state":"proved","bucket":"partial","url":"https://www.erdosproblems.com/485"},{"id":"erdos:486","kind":"problem","label":"Erd\u0151s 486","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/486"},{"id":"erdos:487","kind":"problem","label":"Erd\u0151s 487","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/487"},{"id":"erdos:488","kind":"problem","label":"Erd\u0151s 488","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/488"},{"id":"erdos:489","kind":"problem","label":"Erd\u0151s 489","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/489"},{"id":"erdos:49","kind":"problem","label":"Erd\u0151s 49","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/49"},{"id":"erdos:490","kind":"problem","label":"Erd\u0151s 490","state":"proved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/490"},{"id":"erdos:491","kind":"problem","label":"Erd\u0151s 491","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/491"},{"id":"erdos:492","kind":"problem","label":"Erd\u0151s 492","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/492"},{"id":"erdos:493","kind":"problem","label":"Erd\u0151s 493","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/493"},{"id":"erdos:494","kind":"problem","label":"Erd\u0151s 494","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/494"},{"id":"erdos:495","kind":"problem","label":"Erd\u0151s 495","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/495"},{"id":"erdos:496","kind":"problem","label":"Erd\u0151s 496","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/496"},{"id":"erdos:497","kind":"problem","label":"Erd\u0151s 497","state":"solved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/497"},{"id":"erdos:498","kind":"problem","label":"Erd\u0151s 498","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/498"},{"id":"erdos:499","kind":"problem","label":"Erd\u0151s 499","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/499"},{"id":"erdos:5","kind":"problem","label":"Erd\u0151s 5","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/5"},{"id":"erdos:50","kind":"problem","label":"Erd\u0151s 50","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/50"},{"id":"erdos:500","kind":"problem","label":"Erd\u0151s 500","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/500"},{"id":"erdos:501","kind":"problem","label":"Erd\u0151s 501","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/501"},{"id":"erdos:502","kind":"problem","label":"Erd\u0151s 502","state":"solved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/502"},{"id":"erdos:503","kind":"problem","label":"Erd\u0151s 503","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/503"},{"id":"erdos:504","kind":"problem","label":"Erd\u0151s 504","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/504"},{"id":"erdos:505","kind":"problem","label":"Erd\u0151s 505","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/505"},{"id":"erdos:506","kind":"problem","label":"Erd\u0151s 506","state":"decidable","bucket":"no-proof","url":"https://www.erdosproblems.com/506"},{"id":"erdos:507","kind":"problem","label":"Erd\u0151s 507","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/507"},{"id":"erdos:508","kind":"problem","label":"Erd\u0151s 508","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/508"},{"id":"erdos:509","kind":"problem","label":"Erd\u0151s 509","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/509"},{"id":"erdos:51","kind":"problem","label":"Erd\u0151s 51","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/51"},{"id":"erdos:510","kind":"problem","label":"Erd\u0151s 510","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/510"},{"id":"erdos:511","kind":"problem","label":"Erd\u0151s 511","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/511"},{"id":"erdos:512","kind":"problem","label":"Erd\u0151s 512","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/512"},{"id":"erdos:513","kind":"problem","label":"Erd\u0151s 513","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/513"},{"id":"erdos:514","kind":"problem","label":"Erd\u0151s 514","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/514"},{"id":"erdos:515","kind":"problem","label":"Erd\u0151s 515","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/515"},{"id":"erdos:516","kind":"problem","label":"Erd\u0151s 516","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/516"},{"id":"erdos:517","kind":"problem","label":"Erd\u0151s 517","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/517"},{"id":"erdos:518","kind":"problem","label":"Erd\u0151s 518","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/518"},{"id":"erdos:519","kind":"problem","label":"Erd\u0151s 519","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/519"},{"id":"erdos:52","kind":"problem","label":"Erd\u0151s 52","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/52"},{"id":"erdos:520","kind":"problem","label":"Erd\u0151s 520","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/520"},{"id":"erdos:521","kind":"problem","label":"Erd\u0151s 521","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/521"},{"id":"erdos:522","kind":"problem","label":"Erd\u0151s 522","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/522"},{"id":"erdos:523","kind":"problem","label":"Erd\u0151s 523","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/523"},{"id":"erdos:524","kind":"problem","label":"Erd\u0151s 524","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/524"},{"id":"erdos:525","kind":"problem","label":"Erd\u0151s 525","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/525"},{"id":"erdos:526","kind":"problem","label":"Erd\u0151s 526","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/526"},{"id":"erdos:527","kind":"problem","label":"Erd\u0151s 527","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/527"},{"id":"erdos:528","kind":"problem","label":"Erd\u0151s 528","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/528"},{"id":"erdos:529","kind":"problem","label":"Erd\u0151s 529","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/529"},{"id":"erdos:53","kind":"problem","label":"Erd\u0151s 53","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/53"},{"id":"erdos:530","kind":"problem","label":"Erd\u0151s 530","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/530"},{"id":"erdos:531","kind":"problem","label":"Erd\u0151s 531","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/531"},{"id":"erdos:532","kind":"problem","label":"Erd\u0151s 532","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/532"},{"id":"erdos:533","kind":"problem","label":"Erd\u0151s 533","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/533"},{"id":"erdos:534","kind":"problem","label":"Erd\u0151s 534","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/534"},{"id":"erdos:535","kind":"problem","label":"Erd\u0151s 535","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/535"},{"id":"erdos:536","kind":"problem","label":"Erd\u0151s 536","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/536"},{"id":"erdos:537","kind":"problem","label":"Erd\u0151s 537","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/537"},{"id":"erdos:538","kind":"problem","label":"Erd\u0151s 538","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/538"},{"id":"erdos:539","kind":"problem","label":"Erd\u0151s 539","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/539"},{"id":"erdos:54","kind":"problem","label":"Erd\u0151s 54","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/54"},{"id":"erdos:540","kind":"problem","label":"Erd\u0151s 540","state":"proved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/540"},{"id":"erdos:541","kind":"problem","label":"Erd\u0151s 541","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/541"},{"id":"erdos:542","kind":"problem","label":"Erd\u0151s 542","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/542"},{"id":"erdos:543","kind":"problem","label":"Erd\u0151s 543","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/543"},{"id":"erdos:544","kind":"problem","label":"Erd\u0151s 544","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/544"},{"id":"erdos:545","kind":"problem","label":"Erd\u0151s 545","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/545"},{"id":"erdos:546","kind":"problem","label":"Erd\u0151s 546","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/546"},{"id":"erdos:547","kind":"problem","label":"Erd\u0151s 547","state":"decidable","bucket":"no-proof","url":"https://www.erdosproblems.com/547"},{"id":"erdos:548","kind":"problem","label":"Erd\u0151s 548","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/548"},{"id":"erdos:549","kind":"problem","label":"Erd\u0151s 549","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/549"},{"id":"erdos:55","kind":"problem","label":"Erd\u0151s 55","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/55"},{"id":"erdos:550","kind":"problem","label":"Erd\u0151s 550","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/550"},{"id":"erdos:551","kind":"problem","label":"Erd\u0151s 551","state":"decidable","bucket":"no-proof","url":"https://www.erdosproblems.com/551"},{"id":"erdos:552","kind":"problem","label":"Erd\u0151s 552","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/552"},{"id":"erdos:553","kind":"problem","label":"Erd\u0151s 553","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/553"},{"id":"erdos:554","kind":"problem","label":"Erd\u0151s 554","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/554"},{"id":"erdos:555","kind":"problem","label":"Erd\u0151s 555","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/555"},{"id":"erdos:556","kind":"problem","label":"Erd\u0151s 556","state":"decidable","bucket":"no-proof","url":"https://www.erdosproblems.com/556"},{"id":"erdos:557","kind":"problem","label":"Erd\u0151s 557","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/557"},{"id":"erdos:558","kind":"problem","label":"Erd\u0151s 558","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/558"},{"id":"erdos:559","kind":"problem","label":"Erd\u0151s 559","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/559"},{"id":"erdos:56","kind":"problem","label":"Erd\u0151s 56","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/56"},{"id":"erdos:560","kind":"problem","label":"Erd\u0151s 560","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/560"},{"id":"erdos:561","kind":"problem","label":"Erd\u0151s 561","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/561"},{"id":"erdos:562","kind":"problem","label":"Erd\u0151s 562","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/562"},{"id":"erdos:563","kind":"problem","label":"Erd\u0151s 563","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/563"},{"id":"erdos:564","kind":"problem","label":"Erd\u0151s 564","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/564"},{"id":"erdos:565","kind":"problem","label":"Erd\u0151s 565","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/565"},{"id":"erdos:566","kind":"problem","label":"Erd\u0151s 566","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/566"},{"id":"erdos:567","kind":"problem","label":"Erd\u0151s 567","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/567"},{"id":"erdos:568","kind":"problem","label":"Erd\u0151s 568","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/568"},{"id":"erdos:569","kind":"problem","label":"Erd\u0151s 569","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/569"},{"id":"erdos:57","kind":"problem","label":"Erd\u0151s 57","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/57"},{"id":"erdos:570","kind":"problem","label":"Erd\u0151s 570","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/570"},{"id":"erdos:571","kind":"problem","label":"Erd\u0151s 571","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/571"},{"id":"erdos:572","kind":"problem","label":"Erd\u0151s 572","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/572"},{"id":"erdos:573","kind":"problem","label":"Erd\u0151s 573","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/573"},{"id":"erdos:574","kind":"problem","label":"Erd\u0151s 574","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/574"},{"id":"erdos:575","kind":"problem","label":"Erd\u0151s 575","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/575"},{"id":"erdos:576","kind":"problem","label":"Erd\u0151s 576","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/576"},{"id":"erdos:577","kind":"problem","label":"Erd\u0151s 577","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/577"},{"id":"erdos:578","kind":"problem","label":"Erd\u0151s 578","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/578"},{"id":"erdos:579","kind":"problem","label":"Erd\u0151s 579","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/579"},{"id":"erdos:58","kind":"problem","label":"Erd\u0151s 58","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/58"},{"id":"erdos:580","kind":"problem","label":"Erd\u0151s 580","state":"decidable","bucket":"no-proof","url":"https://www.erdosproblems.com/580"},{"id":"erdos:581","kind":"problem","label":"Erd\u0151s 581","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/581"},{"id":"erdos:582","kind":"problem","label":"Erd\u0151s 582","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/582"},{"id":"erdos:583","kind":"problem","label":"Erd\u0151s 583","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/583"},{"id":"erdos:584","kind":"problem","label":"Erd\u0151s 584","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/584"},{"id":"erdos:585","kind":"problem","label":"Erd\u0151s 585","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/585"},{"id":"erdos:586","kind":"problem","label":"Erd\u0151s 586","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/586"},{"id":"erdos:587","kind":"problem","label":"Erd\u0151s 587","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/587"},{"id":"erdos:588","kind":"problem","label":"Erd\u0151s 588","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/588"},{"id":"erdos:589","kind":"problem","label":"Erd\u0151s 589","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/589"},{"id":"erdos:59","kind":"problem","label":"Erd\u0151s 59","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/59"},{"id":"erdos:590","kind":"problem","label":"Erd\u0151s 590","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/590"},{"id":"erdos:591","kind":"problem","label":"Erd\u0151s 591","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/591"},{"id":"erdos:592","kind":"problem","label":"Erd\u0151s 592","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/592"},{"id":"erdos:593","kind":"problem","label":"Erd\u0151s 593","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/593"},{"id":"erdos:594","kind":"problem","label":"Erd\u0151s 594","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/594"},{"id":"erdos:595","kind":"problem","label":"Erd\u0151s 595","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/595"},{"id":"erdos:596","kind":"problem","label":"Erd\u0151s 596","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/596"},{"id":"erdos:597","kind":"problem","label":"Erd\u0151s 597","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/597"},{"id":"erdos:598","kind":"problem","label":"Erd\u0151s 598","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/598"},{"id":"erdos:599","kind":"problem","label":"Erd\u0151s 599","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/599"},{"id":"erdos:6","kind":"problem","label":"Erd\u0151s 6","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/6"},{"id":"erdos:60","kind":"problem","label":"Erd\u0151s 60","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/60"},{"id":"erdos:600","kind":"problem","label":"Erd\u0151s 600","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/600"},{"id":"erdos:601","kind":"problem","label":"Erd\u0151s 601","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/601"},{"id":"erdos:602","kind":"problem","label":"Erd\u0151s 602","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/602"},{"id":"erdos:603","kind":"problem","label":"Erd\u0151s 603","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/603"},{"id":"erdos:604","kind":"problem","label":"Erd\u0151s 604","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/604"},{"id":"erdos:605","kind":"problem","label":"Erd\u0151s 605","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/605"},{"id":"erdos:606","kind":"problem","label":"Erd\u0151s 606","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/606"},{"id":"erdos:607","kind":"problem","label":"Erd\u0151s 607","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/607"},{"id":"erdos:608","kind":"problem","label":"Erd\u0151s 608","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/608"},{"id":"erdos:609","kind":"problem","label":"Erd\u0151s 609","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/609"},{"id":"erdos:61","kind":"problem","label":"Erd\u0151s 61","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/61"},{"id":"erdos:610","kind":"problem","label":"Erd\u0151s 610","state":"proved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/610"},{"id":"erdos:611","kind":"problem","label":"Erd\u0151s 611","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/611"},{"id":"erdos:612","kind":"problem","label":"Erd\u0151s 612","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/612"},{"id":"erdos:613","kind":"problem","label":"Erd\u0151s 613","state":"disproved (Lean)","bucket":"blocked-claim","url":"https://www.erdosproblems.com/613"},{"id":"erdos:614","kind":"problem","label":"Erd\u0151s 614","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/614"},{"id":"erdos:615","kind":"problem","label":"Erd\u0151s 615","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/615"},{"id":"erdos:616","kind":"problem","label":"Erd\u0151s 616","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/616"},{"id":"erdos:617","kind":"problem","label":"Erd\u0151s 617","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/617"},{"id":"erdos:618","kind":"problem","label":"Erd\u0151s 618","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/618"},{"id":"erdos:619","kind":"problem","label":"Erd\u0151s 619","state":"solved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/619"},{"id":"erdos:62","kind":"problem","label":"Erd\u0151s 62","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/62"},{"id":"erdos:620","kind":"problem","label":"Erd\u0151s 620","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/620"},{"id":"erdos:621","kind":"problem","label":"Erd\u0151s 621","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/621"},{"id":"erdos:622","kind":"problem","label":"Erd\u0151s 622","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/622"},{"id":"erdos:623","kind":"problem","label":"Erd\u0151s 623","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/623"},{"id":"erdos:624","kind":"problem","label":"Erd\u0151s 624","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/624"},{"id":"erdos:625","kind":"problem","label":"Erd\u0151s 625","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/625"},{"id":"erdos:626","kind":"problem","label":"Erd\u0151s 626","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/626"},{"id":"erdos:627","kind":"problem","label":"Erd\u0151s 627","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/627"},{"id":"erdos:628","kind":"problem","label":"Erd\u0151s 628","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/628"},{"id":"erdos:629","kind":"problem","label":"Erd\u0151s 629","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/629"},{"id":"erdos:63","kind":"problem","label":"Erd\u0151s 63","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/63"},{"id":"erdos:630","kind":"problem","label":"Erd\u0151s 630","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/630"},{"id":"erdos:631","kind":"problem","label":"Erd\u0151s 631","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/631"},{"id":"erdos:632","kind":"problem","label":"Erd\u0151s 632","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/632"},{"id":"erdos:633","kind":"problem","label":"Erd\u0151s 633","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/633"},{"id":"erdos:634","kind":"problem","label":"Erd\u0151s 634","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/634"},{"id":"erdos:635","kind":"problem","label":"Erd\u0151s 635","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/635"},{"id":"erdos:636","kind":"problem","label":"Erd\u0151s 636","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/636"},{"id":"erdos:637","kind":"problem","label":"Erd\u0151s 637","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/637"},{"id":"erdos:638","kind":"problem","label":"Erd\u0151s 638","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/638"},{"id":"erdos:639","kind":"problem","label":"Erd\u0151s 639","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/639"},{"id":"erdos:64","kind":"problem","label":"Erd\u0151s 64","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/64"},{"id":"erdos:640","kind":"problem","label":"Erd\u0151s 640","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/640"},{"id":"erdos:641","kind":"problem","label":"Erd\u0151s 641","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/641"},{"id":"erdos:642","kind":"problem","label":"Erd\u0151s 642","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/642"},{"id":"erdos:643","kind":"problem","label":"Erd\u0151s 643","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/643"},{"id":"erdos:644","kind":"problem","label":"Erd\u0151s 644","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/644"},{"id":"erdos:645","kind":"problem","label":"Erd\u0151s 645","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/645"},{"id":"erdos:646","kind":"problem","label":"Erd\u0151s 646","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/646"},{"id":"erdos:647","kind":"problem","label":"Erd\u0151s 647","state":"verifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/647"},{"id":"erdos:648","kind":"problem","label":"Erd\u0151s 648","state":"solved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/648"},{"id":"erdos:649","kind":"problem","label":"Erd\u0151s 649","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/649"},{"id":"erdos:65","kind":"problem","label":"Erd\u0151s 65","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/65"},{"id":"erdos:650","kind":"problem","label":"Erd\u0151s 650","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/650"},{"id":"erdos:651","kind":"problem","label":"Erd\u0151s 651","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/651"},{"id":"erdos:652","kind":"problem","label":"Erd\u0151s 652","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/652"},{"id":"erdos:653","kind":"problem","label":"Erd\u0151s 653","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/653"},{"id":"erdos:654","kind":"problem","label":"Erd\u0151s 654","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/654"},{"id":"erdos:655","kind":"problem","label":"Erd\u0151s 655","state":"open","bucket":"done","url":"https://www.erdosproblems.com/655"},{"id":"erdos:656","kind":"problem","label":"Erd\u0151s 656","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/656"},{"id":"erdos:657","kind":"problem","label":"Erd\u0151s 657","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/657"},{"id":"erdos:658","kind":"problem","label":"Erd\u0151s 658","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/658"},{"id":"erdos:659","kind":"problem","label":"Erd\u0151s 659","state":"proved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/659"},{"id":"erdos:66","kind":"problem","label":"Erd\u0151s 66","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/66"},{"id":"erdos:660","kind":"problem","label":"Erd\u0151s 660","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/660"},{"id":"erdos:661","kind":"problem","label":"Erd\u0151s 661","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/661"},{"id":"erdos:662","kind":"problem","label":"Erd\u0151s 662","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/662"},{"id":"erdos:663","kind":"problem","label":"Erd\u0151s 663","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/663"},{"id":"erdos:664","kind":"problem","label":"Erd\u0151s 664","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/664"},{"id":"erdos:665","kind":"problem","label":"Erd\u0151s 665","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/665"},{"id":"erdos:666","kind":"problem","label":"Erd\u0151s 666","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/666"},{"id":"erdos:667","kind":"problem","label":"Erd\u0151s 667","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/667"},{"id":"erdos:668","kind":"problem","label":"Erd\u0151s 668","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/668"},{"id":"erdos:669","kind":"problem","label":"Erd\u0151s 669","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/669"},{"id":"erdos:67","kind":"problem","label":"Erd\u0151s 67","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/67"},{"id":"erdos:670","kind":"problem","label":"Erd\u0151s 670","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/670"},{"id":"erdos:671","kind":"problem","label":"Erd\u0151s 671","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/671"},{"id":"erdos:672","kind":"problem","label":"Erd\u0151s 672","state":"verifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/672"},{"id":"erdos:673","kind":"problem","label":"Erd\u0151s 673","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/673"},{"id":"erdos:674","kind":"problem","label":"Erd\u0151s 674","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/674"},{"id":"erdos:675","kind":"problem","label":"Erd\u0151s 675","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/675"},{"id":"erdos:676","kind":"problem","label":"Erd\u0151s 676","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/676"},{"id":"erdos:677","kind":"problem","label":"Erd\u0151s 677","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/677"},{"id":"erdos:678","kind":"problem","label":"Erd\u0151s 678","state":"proved (Lean)","bucket":"wont-fix","url":"https://www.erdosproblems.com/678"},{"id":"erdos:679","kind":"problem","label":"Erd\u0151s 679","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/679"},{"id":"erdos:68","kind":"problem","label":"Erd\u0151s 68","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/68"},{"id":"erdos:680","kind":"problem","label":"Erd\u0151s 680","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/680"},{"id":"erdos:681","kind":"problem","label":"Erd\u0151s 681","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/681"},{"id":"erdos:682","kind":"problem","label":"Erd\u0151s 682","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/682"},{"id":"erdos:683","kind":"problem","label":"Erd\u0151s 683","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/683"},{"id":"erdos:684","kind":"problem","label":"Erd\u0151s 684","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/684"},{"id":"erdos:685","kind":"problem","label":"Erd\u0151s 685","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/685"},{"id":"erdos:686","kind":"problem","label":"Erd\u0151s 686","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/686"},{"id":"erdos:687","kind":"problem","label":"Erd\u0151s 687","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/687"},{"id":"erdos:688","kind":"problem","label":"Erd\u0151s 688","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/688"},{"id":"erdos:689","kind":"problem","label":"Erd\u0151s 689","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/689"},{"id":"erdos:69","kind":"problem","label":"Erd\u0151s 69","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/69"},{"id":"erdos:690","kind":"problem","label":"Erd\u0151s 690","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/690"},{"id":"erdos:691","kind":"problem","label":"Erd\u0151s 691","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/691"},{"id":"erdos:692","kind":"problem","label":"Erd\u0151s 692","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/692"},{"id":"erdos:693","kind":"problem","label":"Erd\u0151s 693","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/693"},{"id":"erdos:694","kind":"problem","label":"Erd\u0151s 694","state":"solved (Lean)","bucket":"docstring","url":"https://www.erdosproblems.com/694"},{"id":"erdos:695","kind":"problem","label":"Erd\u0151s 695","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/695"},{"id":"erdos:696","kind":"problem","label":"Erd\u0151s 696","state":"solved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/696"},{"id":"erdos:697","kind":"problem","label":"Erd\u0151s 697","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/697"},{"id":"erdos:698","kind":"problem","label":"Erd\u0151s 698","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/698"},{"id":"erdos:699","kind":"problem","label":"Erd\u0151s 699","state":"falsifiable","bucket":"done","url":"https://www.erdosproblems.com/699"},{"id":"erdos:7","kind":"problem","label":"Erd\u0151s 7","state":"verifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/7"},{"id":"erdos:70","kind":"problem","label":"Erd\u0151s 70","state":"open","bucket":"done","url":"https://www.erdosproblems.com/70"},{"id":"erdos:700","kind":"problem","label":"Erd\u0151s 700","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/700"},{"id":"erdos:701","kind":"problem","label":"Erd\u0151s 701","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/701"},{"id":"erdos:702","kind":"problem","label":"Erd\u0151s 702","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/702"},{"id":"erdos:703","kind":"problem","label":"Erd\u0151s 703","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/703"},{"id":"erdos:704","kind":"problem","label":"Erd\u0151s 704","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/704"},{"id":"erdos:705","kind":"problem","label":"Erd\u0151s 705","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/705"},{"id":"erdos:706","kind":"problem","label":"Erd\u0151s 706","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/706"},{"id":"erdos:707","kind":"problem","label":"Erd\u0151s 707","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/707"},{"id":"erdos:708","kind":"problem","label":"Erd\u0151s 708","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/708"},{"id":"erdos:709","kind":"problem","label":"Erd\u0151s 709","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/709"},{"id":"erdos:71","kind":"problem","label":"Erd\u0151s 71","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/71"},{"id":"erdos:710","kind":"problem","label":"Erd\u0151s 710","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/710"},{"id":"erdos:711","kind":"problem","label":"Erd\u0151s 711","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/711"},{"id":"erdos:712","kind":"problem","label":"Erd\u0151s 712","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/712"},{"id":"erdos:713","kind":"problem","label":"Erd\u0151s 713","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/713"},{"id":"erdos:714","kind":"problem","label":"Erd\u0151s 714","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/714"},{"id":"erdos:715","kind":"problem","label":"Erd\u0151s 715","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/715"},{"id":"erdos:716","kind":"problem","label":"Erd\u0151s 716","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/716"},{"id":"erdos:717","kind":"problem","label":"Erd\u0151s 717","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/717"},{"id":"erdos:718","kind":"problem","label":"Erd\u0151s 718","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/718"},{"id":"erdos:719","kind":"problem","label":"Erd\u0151s 719","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/719"},{"id":"erdos:72","kind":"problem","label":"Erd\u0151s 72","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/72"},{"id":"erdos:720","kind":"problem","label":"Erd\u0151s 720","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/720"},{"id":"erdos:721","kind":"problem","label":"Erd\u0151s 721","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/721"},{"id":"erdos:722","kind":"problem","label":"Erd\u0151s 722","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/722"},{"id":"erdos:723","kind":"problem","label":"Erd\u0151s 723","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/723"},{"id":"erdos:724","kind":"problem","label":"Erd\u0151s 724","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/724"},{"id":"erdos:725","kind":"problem","label":"Erd\u0151s 725","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/725"},{"id":"erdos:726","kind":"problem","label":"Erd\u0151s 726","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/726"},{"id":"erdos:727","kind":"problem","label":"Erd\u0151s 727","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/727"},{"id":"erdos:728","kind":"problem","label":"Erd\u0151s 728","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/728"},{"id":"erdos:729","kind":"problem","label":"Erd\u0151s 729","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/729"},{"id":"erdos:73","kind":"problem","label":"Erd\u0151s 73","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/73"},{"id":"erdos:730","kind":"problem","label":"Erd\u0151s 730","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/730"},{"id":"erdos:731","kind":"problem","label":"Erd\u0151s 731","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/731"},{"id":"erdos:732","kind":"problem","label":"Erd\u0151s 732","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/732"},{"id":"erdos:733","kind":"problem","label":"Erd\u0151s 733","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/733"},{"id":"erdos:734","kind":"problem","label":"Erd\u0151s 734","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/734"},{"id":"erdos:735","kind":"problem","label":"Erd\u0151s 735","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/735"},{"id":"erdos:736","kind":"problem","label":"Erd\u0151s 736","state":"not provable","bucket":"no-proof","url":"https://www.erdosproblems.com/736"},{"id":"erdos:737","kind":"problem","label":"Erd\u0151s 737","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/737"},{"id":"erdos:738","kind":"problem","label":"Erd\u0151s 738","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/738"},{"id":"erdos:739","kind":"problem","label":"Erd\u0151s 739","state":"not provable","bucket":"no-proof","url":"https://www.erdosproblems.com/739"},{"id":"erdos:74","kind":"problem","label":"Erd\u0151s 74","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/74"},{"id":"erdos:740","kind":"problem","label":"Erd\u0151s 740","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/740"},{"id":"erdos:741","kind":"problem","label":"Erd\u0151s 741","state":"solved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/741"},{"id":"erdos:742","kind":"problem","label":"Erd\u0151s 742","state":"decidable","bucket":"in-pr","url":"https://www.erdosproblems.com/742"},{"id":"erdos:743","kind":"problem","label":"Erd\u0151s 743","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/743"},{"id":"erdos:744","kind":"problem","label":"Erd\u0151s 744","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/744"},{"id":"erdos:745","kind":"problem","label":"Erd\u0151s 745","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/745"},{"id":"erdos:746","kind":"problem","label":"Erd\u0151s 746","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/746"},{"id":"erdos:747","kind":"problem","label":"Erd\u0151s 747","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/747"},{"id":"erdos:748","kind":"problem","label":"Erd\u0151s 748","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/748"},{"id":"erdos:749","kind":"problem","label":"Erd\u0151s 749","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/749"},{"id":"erdos:75","kind":"problem","label":"Erd\u0151s 75","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/75"},{"id":"erdos:750","kind":"problem","label":"Erd\u0151s 750","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/750"},{"id":"erdos:751","kind":"problem","label":"Erd\u0151s 751","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/751"},{"id":"erdos:752","kind":"problem","label":"Erd\u0151s 752","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/752"},{"id":"erdos:753","kind":"problem","label":"Erd\u0151s 753","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/753"},{"id":"erdos:754","kind":"problem","label":"Erd\u0151s 754","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/754"},{"id":"erdos:755","kind":"problem","label":"Erd\u0151s 755","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/755"},{"id":"erdos:756","kind":"problem","label":"Erd\u0151s 756","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/756"},{"id":"erdos:757","kind":"problem","label":"Erd\u0151s 757","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/757"},{"id":"erdos:758","kind":"problem","label":"Erd\u0151s 758","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/758"},{"id":"erdos:759","kind":"problem","label":"Erd\u0151s 759","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/759"},{"id":"erdos:76","kind":"problem","label":"Erd\u0151s 76","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/76"},{"id":"erdos:760","kind":"problem","label":"Erd\u0151s 760","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/760"},{"id":"erdos:761","kind":"problem","label":"Erd\u0151s 761","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/761"},{"id":"erdos:762","kind":"problem","label":"Erd\u0151s 762","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/762"},{"id":"erdos:763","kind":"problem","label":"Erd\u0151s 763","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/763"},{"id":"erdos:764","kind":"problem","label":"Erd\u0151s 764","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/764"},{"id":"erdos:765","kind":"problem","label":"Erd\u0151s 765","state":"solved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/765"},{"id":"erdos:766","kind":"problem","label":"Erd\u0151s 766","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/766"},{"id":"erdos:767","kind":"problem","label":"Erd\u0151s 767","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/767"},{"id":"erdos:768","kind":"problem","label":"Erd\u0151s 768","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/768"},{"id":"erdos:769","kind":"problem","label":"Erd\u0151s 769","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/769"},{"id":"erdos:77","kind":"problem","label":"Erd\u0151s 77","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/77"},{"id":"erdos:770","kind":"problem","label":"Erd\u0151s 770","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/770"},{"id":"erdos:771","kind":"problem","label":"Erd\u0151s 771","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/771"},{"id":"erdos:772","kind":"problem","label":"Erd\u0151s 772","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/772"},{"id":"erdos:773","kind":"problem","label":"Erd\u0151s 773","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/773"},{"id":"erdos:774","kind":"problem","label":"Erd\u0151s 774","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/774"},{"id":"erdos:775","kind":"problem","label":"Erd\u0151s 775","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/775"},{"id":"erdos:776","kind":"problem","label":"Erd\u0151s 776","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/776"},{"id":"erdos:777","kind":"problem","label":"Erd\u0151s 777","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/777"},{"id":"erdos:778","kind":"problem","label":"Erd\u0151s 778","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/778"},{"id":"erdos:779","kind":"problem","label":"Erd\u0151s 779","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/779"},{"id":"erdos:78","kind":"problem","label":"Erd\u0151s 78","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/78"},{"id":"erdos:780","kind":"problem","label":"Erd\u0151s 780","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/780"},{"id":"erdos:781","kind":"problem","label":"Erd\u0151s 781","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/781"},{"id":"erdos:782","kind":"problem","label":"Erd\u0151s 782","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/782"},{"id":"erdos:783","kind":"problem","label":"Erd\u0151s 783","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/783"},{"id":"erdos:784","kind":"problem","label":"Erd\u0151s 784","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/784"},{"id":"erdos:785","kind":"problem","label":"Erd\u0151s 785","state":"proved (Lean)","bucket":"hypothesis-conditional","url":"https://www.erdosproblems.com/785"},{"id":"erdos:786","kind":"problem","label":"Erd\u0151s 786","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/786"},{"id":"erdos:787","kind":"problem","label":"Erd\u0151s 787","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/787"},{"id":"erdos:788","kind":"problem","label":"Erd\u0151s 788","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/788"},{"id":"erdos:789","kind":"problem","label":"Erd\u0151s 789","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/789"},{"id":"erdos:79","kind":"problem","label":"Erd\u0151s 79","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/79"},{"id":"erdos:790","kind":"problem","label":"Erd\u0151s 790","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/790"},{"id":"erdos:791","kind":"problem","label":"Erd\u0151s 791","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/791"},{"id":"erdos:792","kind":"problem","label":"Erd\u0151s 792","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/792"},{"id":"erdos:793","kind":"problem","label":"Erd\u0151s 793","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/793"},{"id":"erdos:794","kind":"problem","label":"Erd\u0151s 794","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/794"},{"id":"erdos:795","kind":"problem","label":"Erd\u0151s 795","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/795"},{"id":"erdos:796","kind":"problem","label":"Erd\u0151s 796","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/796"},{"id":"erdos:797","kind":"problem","label":"Erd\u0151s 797","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/797"},{"id":"erdos:798","kind":"problem","label":"Erd\u0151s 798","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/798"},{"id":"erdos:799","kind":"problem","label":"Erd\u0151s 799","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/799"},{"id":"erdos:8","kind":"problem","label":"Erd\u0151s 8","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/8"},{"id":"erdos:80","kind":"problem","label":"Erd\u0151s 80","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/80"},{"id":"erdos:800","kind":"problem","label":"Erd\u0151s 800","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/800"},{"id":"erdos:801","kind":"problem","label":"Erd\u0151s 801","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/801"},{"id":"erdos:802","kind":"problem","label":"Erd\u0151s 802","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/802"},{"id":"erdos:803","kind":"problem","label":"Erd\u0151s 803","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/803"},{"id":"erdos:804","kind":"problem","label":"Erd\u0151s 804","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/804"},{"id":"erdos:805","kind":"problem","label":"Erd\u0151s 805","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/805"},{"id":"erdos:806","kind":"problem","label":"Erd\u0151s 806","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/806"},{"id":"erdos:807","kind":"problem","label":"Erd\u0151s 807","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/807"},{"id":"erdos:808","kind":"problem","label":"Erd\u0151s 808","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/808"},{"id":"erdos:809","kind":"problem","label":"Erd\u0151s 809","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/809"},{"id":"erdos:81","kind":"problem","label":"Erd\u0151s 81","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/81"},{"id":"erdos:810","kind":"problem","label":"Erd\u0151s 810","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/810"},{"id":"erdos:811","kind":"problem","label":"Erd\u0151s 811","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/811"},{"id":"erdos:812","kind":"problem","label":"Erd\u0151s 812","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/812"},{"id":"erdos:813","kind":"problem","label":"Erd\u0151s 813","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/813"},{"id":"erdos:814","kind":"problem","label":"Erd\u0151s 814","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/814"},{"id":"erdos:815","kind":"problem","label":"Erd\u0151s 815","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/815"},{"id":"erdos:816","kind":"problem","label":"Erd\u0151s 816","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/816"},{"id":"erdos:817","kind":"problem","label":"Erd\u0151s 817","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/817"},{"id":"erdos:818","kind":"problem","label":"Erd\u0151s 818","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/818"},{"id":"erdos:819","kind":"problem","label":"Erd\u0151s 819","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/819"},{"id":"erdos:82","kind":"problem","label":"Erd\u0151s 82","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/82"},{"id":"erdos:820","kind":"problem","label":"Erd\u0151s 820","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/820"},{"id":"erdos:821","kind":"problem","label":"Erd\u0151s 821","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/821"},{"id":"erdos:822","kind":"problem","label":"Erd\u0151s 822","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/822"},{"id":"erdos:823","kind":"problem","label":"Erd\u0151s 823","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/823"},{"id":"erdos:824","kind":"problem","label":"Erd\u0151s 824","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/824"},{"id":"erdos:825","kind":"problem","label":"Erd\u0151s 825","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/825"},{"id":"erdos:826","kind":"problem","label":"Erd\u0151s 826","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/826"},{"id":"erdos:827","kind":"problem","label":"Erd\u0151s 827","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/827"},{"id":"erdos:828","kind":"problem","label":"Erd\u0151s 828","state":"open","bucket":"done","url":"https://www.erdosproblems.com/828"},{"id":"erdos:829","kind":"problem","label":"Erd\u0151s 829","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/829"},{"id":"erdos:83","kind":"problem","label":"Erd\u0151s 83","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/83"},{"id":"erdos:830","kind":"problem","label":"Erd\u0151s 830","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/830"},{"id":"erdos:831","kind":"problem","label":"Erd\u0151s 831","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/831"},{"id":"erdos:832","kind":"problem","label":"Erd\u0151s 832","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/832"},{"id":"erdos:833","kind":"problem","label":"Erd\u0151s 833","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/833"},{"id":"erdos:834","kind":"problem","label":"Erd\u0151s 834","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/834"},{"id":"erdos:835","kind":"problem","label":"Erd\u0151s 835","state":"verifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/835"},{"id":"erdos:836","kind":"problem","label":"Erd\u0151s 836","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/836"},{"id":"erdos:837","kind":"problem","label":"Erd\u0151s 837","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/837"},{"id":"erdos:838","kind":"problem","label":"Erd\u0151s 838","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/838"},{"id":"erdos:839","kind":"problem","label":"Erd\u0151s 839","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/839"},{"id":"erdos:84","kind":"problem","label":"Erd\u0151s 84","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/84"},{"id":"erdos:840","kind":"problem","label":"Erd\u0151s 840","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/840"},{"id":"erdos:841","kind":"problem","label":"Erd\u0151s 841","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/841"},{"id":"erdos:842","kind":"problem","label":"Erd\u0151s 842","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/842"},{"id":"erdos:843","kind":"problem","label":"Erd\u0151s 843","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/843"},{"id":"erdos:844","kind":"problem","label":"Erd\u0151s 844","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/844"},{"id":"erdos:845","kind":"problem","label":"Erd\u0151s 845","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/845"},{"id":"erdos:846","kind":"problem","label":"Erd\u0151s 846","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/846"},{"id":"erdos:847","kind":"problem","label":"Erd\u0151s 847","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/847"},{"id":"erdos:848","kind":"problem","label":"Erd\u0151s 848","state":"decidable","bucket":"done","url":"https://www.erdosproblems.com/848"},{"id":"erdos:849","kind":"problem","label":"Erd\u0151s 849","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/849"},{"id":"erdos:85","kind":"problem","label":"Erd\u0151s 85","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/85"},{"id":"erdos:850","kind":"problem","label":"Erd\u0151s 850","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/850"},{"id":"erdos:851","kind":"problem","label":"Erd\u0151s 851","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/851"},{"id":"erdos:852","kind":"problem","label":"Erd\u0151s 852","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/852"},{"id":"erdos:853","kind":"problem","label":"Erd\u0151s 853","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/853"},{"id":"erdos:854","kind":"problem","label":"Erd\u0151s 854","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/854"},{"id":"erdos:855","kind":"problem","label":"Erd\u0151s 855","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/855"},{"id":"erdos:856","kind":"problem","label":"Erd\u0151s 856","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/856"},{"id":"erdos:857","kind":"problem","label":"Erd\u0151s 857","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/857"},{"id":"erdos:858","kind":"problem","label":"Erd\u0151s 858","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/858"},{"id":"erdos:859","kind":"problem","label":"Erd\u0151s 859","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/859"},{"id":"erdos:86","kind":"problem","label":"Erd\u0151s 86","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/86"},{"id":"erdos:860","kind":"problem","label":"Erd\u0151s 860","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/860"},{"id":"erdos:861","kind":"problem","label":"Erd\u0151s 861","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/861"},{"id":"erdos:862","kind":"problem","label":"Erd\u0151s 862","state":"solved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/862"},{"id":"erdos:863","kind":"problem","label":"Erd\u0151s 863","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/863"},{"id":"erdos:864","kind":"problem","label":"Erd\u0151s 864","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/864"},{"id":"erdos:865","kind":"problem","label":"Erd\u0151s 865","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/865"},{"id":"erdos:866","kind":"problem","label":"Erd\u0151s 866","state":"open","bucket":"partial","url":"https://www.erdosproblems.com/866"},{"id":"erdos:867","kind":"problem","label":"Erd\u0151s 867","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/867"},{"id":"erdos:868","kind":"problem","label":"Erd\u0151s 868","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/868"},{"id":"erdos:869","kind":"problem","label":"Erd\u0151s 869","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/869"},{"id":"erdos:87","kind":"problem","label":"Erd\u0151s 87","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/87"},{"id":"erdos:870","kind":"problem","label":"Erd\u0151s 870","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/870"},{"id":"erdos:871","kind":"problem","label":"Erd\u0151s 871","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/871"},{"id":"erdos:872","kind":"problem","label":"Erd\u0151s 872","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/872"},{"id":"erdos:873","kind":"problem","label":"Erd\u0151s 873","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/873"},{"id":"erdos:874","kind":"problem","label":"Erd\u0151s 874","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/874"},{"id":"erdos:875","kind":"problem","label":"Erd\u0151s 875","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/875"},{"id":"erdos:876","kind":"problem","label":"Erd\u0151s 876","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/876"},{"id":"erdos:877","kind":"problem","label":"Erd\u0151s 877","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/877"},{"id":"erdos:878","kind":"problem","label":"Erd\u0151s 878","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/878"},{"id":"erdos:879","kind":"problem","label":"Erd\u0151s 879","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/879"},{"id":"erdos:88","kind":"problem","label":"Erd\u0151s 88","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/88"},{"id":"erdos:880","kind":"problem","label":"Erd\u0151s 880","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/880"},{"id":"erdos:881","kind":"problem","label":"Erd\u0151s 881","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/881"},{"id":"erdos:882","kind":"problem","label":"Erd\u0151s 882","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/882"},{"id":"erdos:883","kind":"problem","label":"Erd\u0151s 883","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/883"},{"id":"erdos:884","kind":"problem","label":"Erd\u0151s 884","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/884"},{"id":"erdos:885","kind":"problem","label":"Erd\u0151s 885","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/885"},{"id":"erdos:886","kind":"problem","label":"Erd\u0151s 886","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/886"},{"id":"erdos:887","kind":"problem","label":"Erd\u0151s 887","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/887"},{"id":"erdos:888","kind":"problem","label":"Erd\u0151s 888","state":"solved","bucket":"in-pr","url":"https://www.erdosproblems.com/888"},{"id":"erdos:889","kind":"problem","label":"Erd\u0151s 889","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/889"},{"id":"erdos:89","kind":"problem","label":"Erd\u0151s 89","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/89"},{"id":"erdos:890","kind":"problem","label":"Erd\u0151s 890","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/890"},{"id":"erdos:891","kind":"problem","label":"Erd\u0151s 891","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/891"},{"id":"erdos:892","kind":"problem","label":"Erd\u0151s 892","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/892"},{"id":"erdos:893","kind":"problem","label":"Erd\u0151s 893","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/893"},{"id":"erdos:894","kind":"problem","label":"Erd\u0151s 894","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/894"},{"id":"erdos:895","kind":"problem","label":"Erd\u0151s 895","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/895"},{"id":"erdos:896","kind":"problem","label":"Erd\u0151s 896","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/896"},{"id":"erdos:897","kind":"problem","label":"Erd\u0151s 897","state":"disproved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/897"},{"id":"erdos:898","kind":"problem","label":"Erd\u0151s 898","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/898"},{"id":"erdos:899","kind":"problem","label":"Erd\u0151s 899","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/899"},{"id":"erdos:9","kind":"problem","label":"Erd\u0151s 9","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/9"},{"id":"erdos:90","kind":"problem","label":"Erd\u0151s 90","state":"disproved (Lean)","bucket":"in-pr","url":"https://www.erdosproblems.com/90"},{"id":"erdos:900","kind":"problem","label":"Erd\u0151s 900","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/900"},{"id":"erdos:901","kind":"problem","label":"Erd\u0151s 901","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/901"},{"id":"erdos:902","kind":"problem","label":"Erd\u0151s 902","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/902"},{"id":"erdos:903","kind":"problem","label":"Erd\u0151s 903","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/903"},{"id":"erdos:904","kind":"problem","label":"Erd\u0151s 904","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/904"},{"id":"erdos:905","kind":"problem","label":"Erd\u0151s 905","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/905"},{"id":"erdos:906","kind":"problem","label":"Erd\u0151s 906","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/906"},{"id":"erdos:907","kind":"problem","label":"Erd\u0151s 907","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/907"},{"id":"erdos:908","kind":"problem","label":"Erd\u0151s 908","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/908"},{"id":"erdos:909","kind":"problem","label":"Erd\u0151s 909","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/909"},{"id":"erdos:91","kind":"problem","label":"Erd\u0151s 91","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/91"},{"id":"erdos:910","kind":"problem","label":"Erd\u0151s 910","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/910"},{"id":"erdos:911","kind":"problem","label":"Erd\u0151s 911","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/911"},{"id":"erdos:912","kind":"problem","label":"Erd\u0151s 912","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/912"},{"id":"erdos:913","kind":"problem","label":"Erd\u0151s 913","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/913"},{"id":"erdos:914","kind":"problem","label":"Erd\u0151s 914","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/914"},{"id":"erdos:915","kind":"problem","label":"Erd\u0151s 915","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/915"},{"id":"erdos:916","kind":"problem","label":"Erd\u0151s 916","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/916"},{"id":"erdos:917","kind":"problem","label":"Erd\u0151s 917","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/917"},{"id":"erdos:918","kind":"problem","label":"Erd\u0151s 918","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/918"},{"id":"erdos:919","kind":"problem","label":"Erd\u0151s 919","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/919"},{"id":"erdos:92","kind":"problem","label":"Erd\u0151s 92","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/92"},{"id":"erdos:920","kind":"problem","label":"Erd\u0151s 920","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/920"},{"id":"erdos:921","kind":"problem","label":"Erd\u0151s 921","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/921"},{"id":"erdos:922","kind":"problem","label":"Erd\u0151s 922","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/922"},{"id":"erdos:923","kind":"problem","label":"Erd\u0151s 923","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/923"},{"id":"erdos:924","kind":"problem","label":"Erd\u0151s 924","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/924"},{"id":"erdos:925","kind":"problem","label":"Erd\u0151s 925","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/925"},{"id":"erdos:926","kind":"problem","label":"Erd\u0151s 926","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/926"},{"id":"erdos:927","kind":"problem","label":"Erd\u0151s 927","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/927"},{"id":"erdos:928","kind":"problem","label":"Erd\u0151s 928","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/928"},{"id":"erdos:929","kind":"problem","label":"Erd\u0151s 929","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/929"},{"id":"erdos:93","kind":"problem","label":"Erd\u0151s 93","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/93"},{"id":"erdos:930","kind":"problem","label":"Erd\u0151s 930","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/930"},{"id":"erdos:931","kind":"problem","label":"Erd\u0151s 931","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/931"},{"id":"erdos:932","kind":"problem","label":"Erd\u0151s 932","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/932"},{"id":"erdos:933","kind":"problem","label":"Erd\u0151s 933","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/933"},{"id":"erdos:934","kind":"problem","label":"Erd\u0151s 934","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/934"},{"id":"erdos:935","kind":"problem","label":"Erd\u0151s 935","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/935"},{"id":"erdos:936","kind":"problem","label":"Erd\u0151s 936","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/936"},{"id":"erdos:937","kind":"problem","label":"Erd\u0151s 937","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/937"},{"id":"erdos:938","kind":"problem","label":"Erd\u0151s 938","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/938"},{"id":"erdos:939","kind":"problem","label":"Erd\u0151s 939","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/939"},{"id":"erdos:94","kind":"problem","label":"Erd\u0151s 94","state":"proved (Lean)","bucket":"hypothesis-conditional","url":"https://www.erdosproblems.com/94"},{"id":"erdos:940","kind":"problem","label":"Erd\u0151s 940","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/940"},{"id":"erdos:941","kind":"problem","label":"Erd\u0151s 941","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/941"},{"id":"erdos:942","kind":"problem","label":"Erd\u0151s 942","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/942"},{"id":"erdos:943","kind":"problem","label":"Erd\u0151s 943","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/943"},{"id":"erdos:944","kind":"problem","label":"Erd\u0151s 944","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/944"},{"id":"erdos:945","kind":"problem","label":"Erd\u0151s 945","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/945"},{"id":"erdos:946","kind":"problem","label":"Erd\u0151s 946","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/946"},{"id":"erdos:947","kind":"problem","label":"Erd\u0151s 947","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/947"},{"id":"erdos:948","kind":"problem","label":"Erd\u0151s 948","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/948"},{"id":"erdos:949","kind":"problem","label":"Erd\u0151s 949","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/949"},{"id":"erdos:95","kind":"problem","label":"Erd\u0151s 95","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/95"},{"id":"erdos:950","kind":"problem","label":"Erd\u0151s 950","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/950"},{"id":"erdos:951","kind":"problem","label":"Erd\u0151s 951","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/951"},{"id":"erdos:952","kind":"problem","label":"Erd\u0151s 952","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/952"},{"id":"erdos:953","kind":"problem","label":"Erd\u0151s 953","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/953"},{"id":"erdos:954","kind":"problem","label":"Erd\u0151s 954","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/954"},{"id":"erdos:955","kind":"problem","label":"Erd\u0151s 955","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/955"},{"id":"erdos:956","kind":"problem","label":"Erd\u0151s 956","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/956"},{"id":"erdos:957","kind":"problem","label":"Erd\u0151s 957","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/957"},{"id":"erdos:958","kind":"problem","label":"Erd\u0151s 958","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/958"},{"id":"erdos:959","kind":"problem","label":"Erd\u0151s 959","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/959"},{"id":"erdos:96","kind":"problem","label":"Erd\u0151s 96","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/96"},{"id":"erdos:960","kind":"problem","label":"Erd\u0151s 960","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/960"},{"id":"erdos:961","kind":"problem","label":"Erd\u0151s 961","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/961"},{"id":"erdos:962","kind":"problem","label":"Erd\u0151s 962","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/962"},{"id":"erdos:963","kind":"problem","label":"Erd\u0151s 963","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/963"},{"id":"erdos:964","kind":"problem","label":"Erd\u0151s 964","state":"proved (Lean)","bucket":"hypothesis-conditional","url":"https://www.erdosproblems.com/964"},{"id":"erdos:965","kind":"problem","label":"Erd\u0151s 965","state":"disproved","bucket":"in-pr","url":"https://www.erdosproblems.com/965"},{"id":"erdos:966","kind":"problem","label":"Erd\u0151s 966","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/966"},{"id":"erdos:967","kind":"problem","label":"Erd\u0151s 967","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/967"},{"id":"erdos:968","kind":"problem","label":"Erd\u0151s 968","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/968"},{"id":"erdos:969","kind":"problem","label":"Erd\u0151s 969","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/969"},{"id":"erdos:97","kind":"problem","label":"Erd\u0151s 97","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/97"},{"id":"erdos:970","kind":"problem","label":"Erd\u0151s 970","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/970"},{"id":"erdos:971","kind":"problem","label":"Erd\u0151s 971","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/971"},{"id":"erdos:972","kind":"problem","label":"Erd\u0151s 972","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/972"},{"id":"erdos:973","kind":"problem","label":"Erd\u0151s 973","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/973"},{"id":"erdos:974","kind":"problem","label":"Erd\u0151s 974","state":"proved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/974"},{"id":"erdos:975","kind":"problem","label":"Erd\u0151s 975","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/975"},{"id":"erdos:976","kind":"problem","label":"Erd\u0151s 976","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/976"},{"id":"erdos:977","kind":"problem","label":"Erd\u0151s 977","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/977"},{"id":"erdos:978","kind":"problem","label":"Erd\u0151s 978","state":"open","bucket":"done","url":"https://www.erdosproblems.com/978"},{"id":"erdos:979","kind":"problem","label":"Erd\u0151s 979","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/979"},{"id":"erdos:98","kind":"problem","label":"Erd\u0151s 98","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/98"},{"id":"erdos:980","kind":"problem","label":"Erd\u0151s 980","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/980"},{"id":"erdos:981","kind":"problem","label":"Erd\u0151s 981","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/981"},{"id":"erdos:982","kind":"problem","label":"Erd\u0151s 982","state":"falsifiable","bucket":"no-proof","url":"https://www.erdosproblems.com/982"},{"id":"erdos:983","kind":"problem","label":"Erd\u0151s 983","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/983"},{"id":"erdos:984","kind":"problem","label":"Erd\u0151s 984","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/984"},{"id":"erdos:985","kind":"problem","label":"Erd\u0151s 985","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/985"},{"id":"erdos:986","kind":"problem","label":"Erd\u0151s 986","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/986"},{"id":"erdos:987","kind":"problem","label":"Erd\u0151s 987","state":"proved","bucket":"in-pr","url":"https://www.erdosproblems.com/987"},{"id":"erdos:988","kind":"problem","label":"Erd\u0151s 988","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/988"},{"id":"erdos:989","kind":"problem","label":"Erd\u0151s 989","state":"solved","bucket":"no-proof","url":"https://www.erdosproblems.com/989"},{"id":"erdos:99","kind":"problem","label":"Erd\u0151s 99","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/99"},{"id":"erdos:990","kind":"problem","label":"Erd\u0151s 990","state":"disproved (Lean)","bucket":"statement","url":"https://www.erdosproblems.com/990"},{"id":"erdos:991","kind":"problem","label":"Erd\u0151s 991","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/991"},{"id":"erdos:992","kind":"problem","label":"Erd\u0151s 992","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/992"},{"id":"erdos:993","kind":"problem","label":"Erd\u0151s 993","state":"falsifiable","bucket":"in-pr","url":"https://www.erdosproblems.com/993"},{"id":"erdos:994","kind":"problem","label":"Erd\u0151s 994","state":"disproved","bucket":"no-proof","url":"https://www.erdosproblems.com/994"},{"id":"erdos:995","kind":"problem","label":"Erd\u0151s 995","state":"open","bucket":"no-proof","url":"https://www.erdosproblems.com/995"},{"id":"erdos:996","kind":"problem","label":"Erd\u0151s 996","state":"open","bucket":"in-pr","url":"https://www.erdosproblems.com/996"},{"id":"erdos:997","kind":"problem","label":"Erd\u0151s 997","state":"proved (Lean)","bucket":"done","url":"https://www.erdosproblems.com/997"},{"id":"erdos:998","kind":"problem","label":"Erd\u0151s 998","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/998"},{"id":"erdos:999","kind":"problem","label":"Erd\u0151s 999","state":"proved","bucket":"no-proof","url":"https://www.erdosproblems.com/999"},{"id":"fc:1","kind":"statement","label":"Erdos1.erdos_1","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1.erdos_1","linked":false},{"id":"fc:10","kind":"statement","label":"Erdos10.erdos_10","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos10.erdos_10","linked":false},{"id":"fc:100","kind":"statement","label":"Erdos100.erdos_100_piepmeyer","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos100.erdos_100_piepmeyer","linked":true},{"id":"fc:1000","kind":"statement","label":"FC 1000 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1001","kind":"statement","label":"FC 1001 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1002","kind":"statement","label":"Erdos1002.erdos_1002","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1002.erdos_1002","linked":false},{"id":"fc:1003","kind":"statement","label":"Erdos1003.erdos_1003","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1003.erdos_1003","linked":false},{"id":"fc:1004","kind":"statement","label":"Erdos1004.erdos_1004","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1004.erdos_1004","linked":false},{"id":"fc:1005","kind":"statement","label":"FC 1005 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1006","kind":"statement","label":"FC 1006 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1007","kind":"statement","label":"FC 1007 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1008","kind":"statement","label":"FC 1008 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1009","kind":"statement","label":"FC 1009 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:101","kind":"statement","label":"Erdos101.erdos_101","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos101.erdos_101","linked":false},{"id":"fc:1010","kind":"statement","label":"FC 1010 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1011","kind":"statement","label":"FC 1011 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1012","kind":"statement","label":"FC 1012 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1013","kind":"statement","label":"FC 1013 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1014","kind":"statement","label":"FC 1014 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:1015","kind":"statement","label":"FC 1015 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1016","kind":"statement","label":"FC 1016 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1017","kind":"statement","label":"FC 1017 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1018","kind":"statement","label":"FC 1018 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1019","kind":"statement","label":"FC 1019 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:102","kind":"statement","label":"FC 102 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1020","kind":"statement","label":"FC 1020 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1021","kind":"statement","label":"FC 1021 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1022","kind":"statement","label":"FC 1022 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1023","kind":"statement","label":"FC 1023 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1024","kind":"statement","label":"FC 1024 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1025","kind":"statement","label":"FC 1025 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1026","kind":"statement","label":"FC 1026 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1027","kind":"statement","label":"FC 1027 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1028","kind":"statement","label":"FC 1028 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1029","kind":"statement","label":"FC 1029 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:103","kind":"statement","label":"FC 103 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1030","kind":"statement","label":"FC 1030 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:1031","kind":"statement","label":"FC 1031 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1032","kind":"statement","label":"FC 1032 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1033","kind":"statement","label":"FC 1033 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1034","kind":"statement","label":"FC 1034 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1035","kind":"statement","label":"FC 1035 (PR #4065)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4065"},{"id":"fc:1036","kind":"statement","label":"FC 1036 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1037","kind":"statement","label":"FC 1037 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1038","kind":"statement","label":"Erdos1038.erdos_1038.variants.inf_upperBound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1038.erdos_1038.variants.inf_upperBound","linked":false},{"id":"fc:1039","kind":"statement","label":"FC 1039 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:104","kind":"statement","label":"FC 104 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1040","kind":"statement","label":"FC 1040 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1041","kind":"statement","label":"Erdos1041.erdos_1041","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1041.erdos_1041","linked":false},{"id":"fc:1042","kind":"statement","label":"FC 1042 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1043","kind":"statement","label":"Erdos1043.erdos_1043","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1043.erdos_1043","linked":true},{"id":"fc:1044","kind":"statement","label":"FC 1044 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1045","kind":"statement","label":"FC 1045 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1046","kind":"statement","label":"FC 1046 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1047","kind":"statement","label":"FC 1047 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1048","kind":"statement","label":"FC 1048 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1049","kind":"statement","label":"Erdos1049.erdos_1049","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1049.erdos_1049","linked":false},{"id":"fc:105","kind":"statement","label":"FC 105 (PR #4354)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4354"},{"id":"fc:1050","kind":"statement","label":"FC 1050 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1051","kind":"statement","label":"Erdos1051.erdos_1051","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1051.erdos_1051","linked":true},{"id":"fc:1052","kind":"statement","label":"Erdos1052.even_of_isUnitaryPerfect","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1052.even_of_isUnitaryPerfect","linked":true},{"id":"fc:1053","kind":"statement","label":"FC 1053 (PR #4366)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4366"},{"id":"fc:1054","kind":"statement","label":"Erdos1054.f_undefined_at_2","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1054.f_undefined_at_2","linked":false},{"id":"fc:1055","kind":"statement","label":"Erdos1055.erdos_1055","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1055.erdos_1055","linked":false},{"id":"fc:1056","kind":"statement","label":"Erdos1056.erdos_1056","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1056.erdos_1056","linked":false},{"id":"fc:1057","kind":"statement","label":"Erdos1057.erdos_1057","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1057.erdos_1057","linked":false},{"id":"fc:1058","kind":"statement","label":"FC 1058 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1059","kind":"statement","label":"Erdos1059.erdos_1059","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1059.erdos_1059","linked":false},{"id":"fc:106","kind":"statement","label":"FC 106 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1060","kind":"statement","label":"Erdos1060.erdos_1060.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1060.erdos_1060.parts.ii","linked":false},{"id":"fc:1061","kind":"statement","label":"Erdos1061.erdos_1061","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1061.erdos_1061","linked":false},{"id":"fc:1062","kind":"statement","label":"Erdos1062.erdos_1062.variants.lower_bound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1062.erdos_1062.variants.lower_bound","linked":false},{"id":"fc:1063","kind":"statement","label":"Erdos1063.erdos_1063.variants.cambie_upper_bound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1063.erdos_1063.variants.cambie_upper_bound","linked":false},{"id":"fc:1064","kind":"statement","label":"Erdos1064.erdos_1064","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1064.erdos_1064","linked":false},{"id":"fc:1065","kind":"statement","label":"Erdos1065.erdos_1065.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1065.erdos_1065.parts.ii","linked":false},{"id":"fc:1066","kind":"statement","label":"FC 1066 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1067","kind":"statement","label":"Erdos1067.erdos_1067","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1067.erdos_1067","linked":true},{"id":"fc:1068","kind":"statement","label":"Erdos1068.erdos_1068","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1068.erdos_1068","linked":false},{"id":"fc:1069","kind":"statement","label":"FC 1069 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:107","kind":"statement","label":"Erdos107.erdos_107","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos107.erdos_107","linked":false},{"id":"fc:1070","kind":"statement","label":"FC 1070 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1071","kind":"statement","label":"Erdos1071.erdos_1071.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1071.erdos_1071.parts.ii","linked":true},{"id":"fc:1072","kind":"statement","label":"Erdos1072.erdos_1072.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1072.erdos_1072.parts.i","linked":false},{"id":"fc:1073","kind":"statement","label":"Erdos1073.erdos_1073","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1073.erdos_1073","linked":false},{"id":"fc:1074","kind":"statement","label":"Erdos1074.erdos_1074.variants.EHSNumbers_infinite","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1074.erdos_1074.variants.EHSNumbers_infinite","linked":true},{"id":"fc:1075","kind":"statement","label":"FC 1075 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1076","kind":"statement","label":"FC 1076 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1077","kind":"statement","label":"Erdos1077.erdos_1077","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1077.erdos_1077","linked":false},{"id":"fc:1078","kind":"statement","label":"FC 1078 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1079","kind":"statement","label":"FC 1079 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:108","kind":"statement","label":"Erdos108.erdos_108","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos108.erdos_108","linked":false},{"id":"fc:1080","kind":"statement","label":"Erdos1080.erdos_1080","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1080.erdos_1080","linked":true},{"id":"fc:1081","kind":"statement","label":"FC 1081 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1082","kind":"statement","label":"Erdos1082.erdos_1082.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1082.erdos_1082.parts.ii","linked":true},{"id":"fc:1083","kind":"statement","label":"FC 1083 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1084","kind":"statement","label":"Erdos1084.erdos_1084.variants.upper_d1","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1084.erdos_1084.variants.upper_d1","linked":true},{"id":"fc:1085","kind":"statement","label":"Erdos1085.erdos_1085.variants.upper_d2","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1085.erdos_1085.variants.upper_d2","linked":false},{"id":"fc:1086","kind":"statement","label":"FC 1086 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1087","kind":"statement","label":"FC 1087 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1088","kind":"statement","label":"FC 1088 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1089","kind":"statement","label":"FC 1089 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:109","kind":"statement","label":"Erdos109.erdos_109","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos109.erdos_109","linked":false},{"id":"fc:1090","kind":"statement","label":"Erdos1090.erdos_1090","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1090.erdos_1090","linked":true},{"id":"fc:1091","kind":"statement","label":"FC 1091 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1092","kind":"statement","label":"Erdos1092.f_asymptotic_general","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1092.f_asymptotic_general","linked":false},{"id":"fc:1093","kind":"statement","label":"Erdos1093.erdos_1093.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1093.erdos_1093.parts.i","linked":false},{"id":"fc:1094","kind":"statement","label":"Erdos1094.erdos_1094","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1094.erdos_1094","linked":false},{"id":"fc:1095","kind":"statement","label":"Erdos1095.erdos_1095.variants.log_equivalent","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1095.erdos_1095.variants.log_equivalent","linked":false},{"id":"fc:1096","kind":"statement","label":"Erdos1096.erdos_1096","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1096.erdos_1096","linked":false},{"id":"fc:1097","kind":"statement","label":"Erdos1097.erdos_1097","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1097.erdos_1097","linked":true},{"id":"fc:1098","kind":"statement","label":"FC 1098 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1099","kind":"statement","label":"FC 1099 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:11","kind":"statement","label":"Erdos11.erdos_11","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos11.erdos_11","linked":false},{"id":"fc:110","kind":"statement","label":"FC 110 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1100","kind":"statement","label":"FC 1100 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1101","kind":"statement","label":"Erdos1101.erdos_1101.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1101.erdos_1101.parts.ii","linked":false},{"id":"fc:1102","kind":"statement","label":"Erdos1102.erdos_1102.density_zero_of_P","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1102.erdos_1102.density_zero_of_P","linked":true},{"id":"fc:1103","kind":"statement","label":"FC 1103 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1104","kind":"statement","label":"Erdos1104.erdos_1104.variants.upper","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1104.erdos_1104.variants.upper","linked":false},{"id":"fc:1105","kind":"statement","label":"Erdos1105.erdos_1105.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1105.erdos_1105.parts.i","linked":false},{"id":"fc:1106","kind":"statement","label":"Erdos1106.erdos_1106.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1106.erdos_1106.parts.i","linked":false},{"id":"fc:1107","kind":"statement","label":"Erdos1107.erdos_1107","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1107.erdos_1107","linked":false},{"id":"fc:1108","kind":"statement","label":"Erdos1108.erdos_1108.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1108.erdos_1108.parts.ii","linked":false},{"id":"fc:1109","kind":"statement","label":"FC 1109 (PR #3975)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3975"},{"id":"fc:111","kind":"statement","label":"FC 111 (PR #3785)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3785"},{"id":"fc:1110","kind":"statement","label":"FC 1110 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1111","kind":"statement","label":"FC 1111 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1112","kind":"statement","label":"FC 1112 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1113","kind":"statement","label":"Erdos1113.erdos_1113","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1113.erdos_1113","linked":false},{"id":"fc:1114","kind":"statement","label":"FC 1114 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1115","kind":"statement","label":"FC 1115 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1116","kind":"statement","label":"FC 1116 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1117","kind":"statement","label":"FC 1117 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1118","kind":"statement","label":"FC 1118 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1119","kind":"statement","label":"Erdos1119.erdos_1119","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1119.erdos_1119","linked":false},{"id":"fc:112","kind":"statement","label":"FC 112 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:1120","kind":"statement","label":"FC 1120 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1121","kind":"statement","label":"FC 1121 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1122","kind":"statement","label":"FC 1122 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1123","kind":"statement","label":"FC 1123 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1124","kind":"statement","label":"FC 1124 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1125","kind":"statement","label":"Erdos1125.erdos_1125","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1125.erdos_1125","linked":true},{"id":"fc:1126","kind":"statement","label":"Erdos1126.erdos_1126","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1126.erdos_1126","linked":true},{"id":"fc:1127","kind":"statement","label":"FC 1127 (PR #4221)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4221"},{"id":"fc:1128","kind":"statement","label":"Erdos1128.erdos_1128","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1128.erdos_1128","linked":false},{"id":"fc:1129","kind":"statement","label":"FC 1129 (PR #3422)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3422"},{"id":"fc:1133","kind":"statement","label":"Erdos1133.erdos_1133","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1133.erdos_1133","linked":false},{"id":"fc:1135","kind":"statement","label":"Erdos1135.erdos_1135","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1135.erdos_1135","linked":false},{"id":"fc:1137","kind":"statement","label":"Erdos1137.erdos_1137","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1137.erdos_1137","linked":false},{"id":"fc:1138","kind":"statement","label":"Erdos1138.erdos_1138","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1138.erdos_1138","linked":true},{"id":"fc:1139","kind":"statement","label":"Erdos1139.erdos_1139","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1139.erdos_1139","linked":false},{"id":"fc:114","kind":"statement","label":"FC 114 (PR #3958)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3958"},{"id":"fc:1141","kind":"statement","label":"Erdos1141.erdos_1141","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1141.erdos_1141","linked":true},{"id":"fc:1142","kind":"statement","label":"Erdos1142.erdos_1142","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1142.erdos_1142","linked":false},{"id":"fc:1144","kind":"statement","label":"FC 1144 (PR #3587)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3587"},{"id":"fc:1145","kind":"statement","label":"Erdos1145.erdos_1145","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1145.erdos_1145","linked":false},{"id":"fc:1146","kind":"statement","label":"Erdos1146.erdos_1146","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1146.erdos_1146","linked":false},{"id":"fc:1148","kind":"statement","label":"Erdos1148.erdos_1148","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1148.erdos_1148","linked":false},{"id":"fc:1150","kind":"statement","label":"Erdos1150.erdos_1150","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1150.erdos_1150","linked":false},{"id":"fc:1151","kind":"statement","label":"FC 1151 (PR #3978)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3978"},{"id":"fc:1154","kind":"statement","label":"FC 1154 (PR #3826)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3826"},{"id":"fc:1155","kind":"statement","label":"FC 1155 (PR #3587)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3587"},{"id":"fc:1156","kind":"statement","label":"FC 1156 (PR #3587)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3587"},{"id":"fc:1167","kind":"statement","label":"Erdos1167.erdos_1167","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1167.erdos_1167","linked":false},{"id":"fc:1168","kind":"statement","label":"FC 1168 (PR #3792)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3792"},{"id":"fc:1169","kind":"statement","label":"FC 1169 (PR #4214)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4214"},{"id":"fc:1170","kind":"statement","label":"FC 1170 (PR #4215)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4215"},{"id":"fc:1171","kind":"statement","label":"FC 1171 (PR #3789)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3789"},{"id":"fc:1172","kind":"statement","label":"FC 1172 (PR #3793)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3793"},{"id":"fc:1173","kind":"statement","label":"FC 1173 (PR #3794)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3794"},{"id":"fc:1174","kind":"statement","label":"FC 1174 (PR #4223)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4223"},{"id":"fc:1175","kind":"statement","label":"Erdos1175.erdos_1175","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1175.erdos_1175","linked":false},{"id":"fc:1176","kind":"statement","label":"Erdos1176.erdos_1176","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1176.erdos_1176","linked":false},{"id":"fc:1177","kind":"statement","label":"FC 1177 (PR #3790)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3790"},{"id":"fc:118","kind":"statement","label":"FC 118 (PR #4219)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4219"},{"id":"fc:119","kind":"statement","label":"Erdos119.erdos_119.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos119.erdos_119.parts.ii","linked":false},{"id":"fc:1192","kind":"statement","label":"Erdos1192.erdos_1192","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1192.erdos_1192","linked":false},{"id":"fc:1196","kind":"statement","label":"Erdos1196.erdos_1196","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1196.erdos_1196","linked":true},{"id":"fc:1199","kind":"statement","label":"Erdos1199.erdos_1199","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1199.erdos_1199","linked":false},{"id":"fc:12","kind":"statement","label":"Erdos12.erdos_12.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos12.erdos_12.parts.i","linked":true},{"id":"fc:120","kind":"statement","label":"Erdos120.erdos_120","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos120.erdos_120","linked":false},{"id":"fc:1200","kind":"statement","label":"FC 1200 (PR #3840)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3840"},{"id":"fc:1201","kind":"statement","label":"Erdos1201.erdos_1201","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1201.erdos_1201","linked":false},{"id":"fc:1203","kind":"statement","label":"Erdos1203.erdos_1203","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1203.erdos_1203","linked":false},{"id":"fc:1208","kind":"statement","label":"FC 1208 (PR #4258)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4258"},{"id":"fc:1209","kind":"statement","label":"Erdos1209.erdos_1209.parts.iii.a","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1209.erdos_1209.parts.iii.a","linked":true},{"id":"fc:1210","kind":"statement","label":"Erdos1210.erdos_1210","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1210.erdos_1210","linked":false},{"id":"fc:1212","kind":"statement","label":"Erdos1212.erdos_1212","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1212.erdos_1212","linked":false},{"id":"fc:1214","kind":"statement","label":"Erdos1214.erdos_1214","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos1214.erdos_1214","linked":false},{"id":"fc:123","kind":"statement","label":"Erdos123.erdos_123","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos123.erdos_123","linked":false},{"id":"fc:124","kind":"statement","label":"Erdos124.erdos124.converse","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos124.erdos124.converse","linked":false},{"id":"fc:125","kind":"statement","label":"Erdos125.erdos_125.variants.positive_lower_density","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos125.erdos_125.variants.positive_lower_density","linked":true},{"id":"fc:126","kind":"statement","label":"Erdos126.erdos_126","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos126.erdos_126","linked":false},{"id":"fc:128","kind":"statement","label":"Erdos128.erdos_128","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos128.erdos_128","linked":false},{"id":"fc:129","kind":"statement","label":"FC 129 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:13","kind":"statement","label":"Erdos13.erdos_13","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos13.erdos_13","linked":false},{"id":"fc:134","kind":"statement","label":"Erdos134.erdos_134","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos134.erdos_134","linked":true},{"id":"fc:137","kind":"statement","label":"Erdos137.erdos_137","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos137.erdos_137","linked":false},{"id":"fc:138","kind":"statement","label":"Erdos138.monoAPNumber_two_two","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos138.monoAPNumber_two_two","linked":true},{"id":"fc:139","kind":"statement","label":"Erdos139.erdos_139","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos139.erdos_139","linked":false},{"id":"fc:14","kind":"statement","label":"Erdos14.erdos_14.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos14.erdos_14.parts.i","linked":false},{"id":"fc:141","kind":"statement","label":"Erdos141.erdos_141","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos141.erdos_141","linked":false},{"id":"fc:142","kind":"statement","label":"Erdos142.erdos_142","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos142.erdos_142","linked":false},{"id":"fc:143","kind":"statement","label":"Erdos143.erdos_143.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos143.erdos_143.parts.i","linked":false},{"id":"fc:145","kind":"statement","label":"Erdos145.erdos_145","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos145.erdos_145","linked":false},{"id":"fc:15","kind":"statement","label":"Erdos15.erdos_15","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos15.erdos_15","linked":false},{"id":"fc:152","kind":"statement","label":"Erdos152.erdos_152","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos152.erdos_152","linked":true},{"id":"fc:153","kind":"statement","label":"Erdos153.erdos_153","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos153.erdos_153","linked":false},{"id":"fc:154","kind":"statement","label":"Erdos154.erdos_154.variants.lindstrom","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos154.erdos_154.variants.lindstrom","linked":true},{"id":"fc:155","kind":"statement","label":"Erdos155.erdos_155","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos155.erdos_155","linked":false},{"id":"fc:156","kind":"statement","label":"Erdos156.erdos_156","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos156.erdos_156","linked":false},{"id":"fc:158","kind":"statement","label":"Erdos158.erdos_158","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos158.erdos_158","linked":false},{"id":"fc:159","kind":"statement","label":"FC 159 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:16","kind":"statement","label":"Erdos16.erdos_16","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos16.erdos_16","linked":true},{"id":"fc:160","kind":"statement","label":"Erdos160.erdos_160.variants.known_lower","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos160.erdos_160.variants.known_lower","linked":false},{"id":"fc:164","kind":"statement","label":"Erdos164.erdos_164","stage":"draft","path":"statements/164/164.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:165","kind":"statement","label":"FC 165 (PR #4236)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4236"},{"id":"fc:168","kind":"statement","label":"Erdos168.F_eq_card","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos168.F_eq_card","linked":false},{"id":"fc:17","kind":"statement","label":"Erdos17.erdos_17","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos17.erdos_17","linked":false},{"id":"fc:170","kind":"statement","label":"Erdos170.trivial_ruler_is_perfect","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos170.trivial_ruler_is_perfect","linked":false},{"id":"fc:172","kind":"statement","label":"Erdos172.erdos_172","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos172.erdos_172","linked":false},{"id":"fc:175","kind":"statement","label":"FC 175 (PR #4315)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4315"},{"id":"fc:178","kind":"statement","label":"Erdos178.erdos_178","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos178.erdos_178","linked":true},{"id":"fc:18","kind":"statement","label":"Erdos18.erdos_18a","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos18.erdos_18a","linked":false},{"id":"fc:184","kind":"statement","label":"Erdos184.erdos_184","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos184.erdos_184","linked":false},{"id":"fc:188","kind":"statement","label":"Erdos188.erdos_188","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos188.erdos_188","linked":false},{"id":"fc:189","kind":"statement","label":"Erdos189.erdos_189","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos189.erdos_189","linked":true},{"id":"fc:19","kind":"statement","label":"FC 19 (PR #2155)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/2155"},{"id":"fc:190","kind":"statement","label":"FC 190 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:193","kind":"statement","label":"Erdos193.erdos_193","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos193.erdos_193","linked":false},{"id":"fc:194","kind":"statement","label":"Erdos194.erdos_194","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos194.erdos_194","linked":true},{"id":"fc:195","kind":"statement","label":"Erdos195.erdos_195","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos195.erdos_195","linked":false},{"id":"fc:196","kind":"statement","label":"Erdos196.erdos_196","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos196.erdos_196","linked":false},{"id":"fc:197","kind":"statement","label":"Erdos197.erdos_197","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos197.erdos_197","linked":false},{"id":"fc:198","kind":"statement","label":"Erdos198.erdos_198.variants.concrete","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos198.erdos_198.variants.concrete","linked":true},{"id":"fc:199","kind":"statement","label":"FC 199 (PR #4343)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4343"},{"id":"fc:2","kind":"statement","label":"FC 2 (PR #4313)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4313"},{"id":"fc:20","kind":"statement","label":"Erdos20.erdos_20","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos20.erdos_20","linked":false},{"id":"fc:200","kind":"statement","label":"Erdos200.erdos_200","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos200.erdos_200","linked":false},{"id":"fc:203","kind":"statement","label":"Erdos203.erdos_203","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos203.erdos_203","linked":false},{"id":"fc:204","kind":"statement","label":"Erdos204.erdos_204","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos204.erdos_204","linked":true},{"id":"fc:206","kind":"statement","label":"Erdos206.erdos_206","stage":"draft","path":"statements/206/206.lean","gates_passed":true,"linked":false},{"id":"fc:208","kind":"statement","label":"Erdos208.erdos_208.variants.log_bound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos208.erdos_208.variants.log_bound","linked":false},{"id":"fc:209","kind":"statement","label":"Erdos209.erdos_209","stage":"draft","path":"statements/209/209.lean","gates_passed":true,"linked":false},{"id":"fc:212","kind":"statement","label":"Erdos212.erdos_212","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos212.erdos_212","linked":false},{"id":"fc:213","kind":"statement","label":"Erdos213.erdos_213","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos213.erdos_213","linked":false},{"id":"fc:217","kind":"statement","label":"FC 217 (PR #4064)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4064"},{"id":"fc:218","kind":"statement","label":"Erdos218.erdos_218.variants.le","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos218.erdos_218.variants.le","linked":false},{"id":"fc:219","kind":"statement","label":"Erdos219.erdos_219","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos219.erdos_219","linked":false},{"id":"fc:22","kind":"statement","label":"Erdos22.erdos_22","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos22.erdos_22","linked":false},{"id":"fc:221","kind":"statement","label":"FC 221 (PR #4338)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4338"},{"id":"fc:224","kind":"statement","label":"FC 224 (PR #4343)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4343"},{"id":"fc:226","kind":"statement","label":"FC 226 (PR #4343)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4343"},{"id":"fc:228","kind":"statement","label":"Erdos228.erdos_228","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos228.erdos_228","linked":false},{"id":"fc:229","kind":"statement","label":"Erdos229.erdos_229","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos229.erdos_229","linked":true},{"id":"fc:23","kind":"statement","label":"Erdos23.erdos_23","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos23.erdos_23","linked":false},{"id":"fc:233","kind":"statement","label":"Erdos233.erdos_233.variants.lower_bound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos233.erdos_233.variants.lower_bound","linked":true},{"id":"fc:234","kind":"statement","label":"Erdos234.erdos_234","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos234.erdos_234","linked":false},{"id":"fc:236","kind":"statement","label":"Erdos236.erdos_236","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos236.erdos_236","linked":false},{"id":"fc:238","kind":"statement","label":"Erdos238.erdos_238","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos238.erdos_238","linked":false},{"id":"fc:239","kind":"statement","label":"Erdos239.erdos_239","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos239.erdos_239","linked":false},{"id":"fc:24","kind":"statement","label":"Erdos24.erdos_24","stage":"draft","path":"statements/24/24.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:241","kind":"statement","label":"Erdos241.erdos_241","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos241.erdos_241","linked":false},{"id":"fc:242","kind":"statement","label":"Erdos242.erdos_242","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos242.erdos_242","linked":false},{"id":"fc:243","kind":"statement","label":"Erdos243.erdos_243","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos243.erdos_243","linked":false},{"id":"fc:244","kind":"statement","label":"Erdos244.erdos_244","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos244.erdos_244","linked":false},{"id":"fc:245","kind":"statement","label":"Erdos245.erdos_245","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos245.erdos_245","linked":false},{"id":"fc:246","kind":"statement","label":"FC 246 (PR #4343)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4343"},{"id":"fc:247","kind":"statement","label":"Erdos247.erdos_247","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos247.erdos_247","linked":false},{"id":"fc:248","kind":"statement","label":"Erdos248.erdos_248","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos248.erdos_248","linked":false},{"id":"fc:249","kind":"statement","label":"Erdos249.erdos_249","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos249.erdos_249","linked":false},{"id":"fc:25","kind":"statement","label":"Erdos25.erdos_25","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos25.erdos_25","linked":false},{"id":"fc:250","kind":"statement","label":"Erdos250.erdos_250","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos250.erdos_250","linked":false},{"id":"fc:251","kind":"statement","label":"Erdos251.erdos_251","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos251.erdos_251","linked":false},{"id":"fc:252","kind":"statement","label":"Erdos252.erdos_252","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos252.erdos_252","linked":false},{"id":"fc:253","kind":"statement","label":"Erdos253.erdos_253","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos253.erdos_253","linked":false},{"id":"fc:254","kind":"statement","label":"Erdos254.erdos_254","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos254.erdos_254","linked":false},{"id":"fc:257","kind":"statement","label":"Erdos257.erdos_257","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos257.erdos_257","linked":false},{"id":"fc:258","kind":"statement","label":"Erdos258.erdos_258","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos258.erdos_258","linked":true},{"id":"fc:259","kind":"statement","label":"Erdos259.erdos_259","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos259.erdos_259","linked":true},{"id":"fc:26","kind":"statement","label":"Erdos26.erdos_26.variants.tenenbaum","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos26.erdos_26.variants.tenenbaum","linked":true},{"id":"fc:260","kind":"statement","label":"Erdos260.erdos_260","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos260.erdos_260","linked":false},{"id":"fc:261","kind":"statement","label":"FC 261 (PR #1902)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/1902"},{"id":"fc:263","kind":"statement","label":"Erdos263.erdos_263.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos263.erdos_263.parts.ii","linked":true},{"id":"fc:264","kind":"statement","label":"Erdos264.erdos_264.variants.ko_tao_neg","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos264.erdos_264.variants.ko_tao_neg","linked":false},{"id":"fc:266","kind":"statement","label":"Erdos266.erdos_266","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos266.erdos_266","linked":false},{"id":"fc:267","kind":"statement","label":"Erdos267.erdos_267.variants.specialization_pow_two","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos267.erdos_267.variants.specialization_pow_two","linked":true},{"id":"fc:268","kind":"statement","label":"Erdos268.erdos_268","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos268.erdos_268","linked":true},{"id":"fc:269","kind":"statement","label":"Erdos269.erdos_269.variants.irrational","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos269.erdos_269.variants.irrational","linked":false},{"id":"fc:272","kind":"statement","label":"Erdos272.erdos_272","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos272.erdos_272","linked":false},{"id":"fc:273","kind":"statement","label":"Erdos273.erdos_273","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos273.erdos_273","linked":false},{"id":"fc:274","kind":"statement","label":"Erdos274.erdos_274","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos274.erdos_274","linked":false},{"id":"fc:275","kind":"statement","label":"Erdos275.erdos_275","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos275.erdos_275","linked":true},{"id":"fc:276","kind":"statement","label":"Erdos276.erdos_276","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos276.erdos_276","linked":false},{"id":"fc:277","kind":"statement","label":"Erdos277.erdos_277","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos277.erdos_277","linked":false},{"id":"fc:279","kind":"statement","label":"Erdos279.erdos_279","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos279.erdos_279","linked":false},{"id":"fc:28","kind":"statement","label":"Erdos28.erdos_28","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos28.erdos_28","linked":false},{"id":"fc:280","kind":"statement","label":"FC 280 (PR #4345)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4345"},{"id":"fc:281","kind":"statement","label":"FC 281 (PR #4346)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4346"},{"id":"fc:282","kind":"statement","label":"Erdos282.erdos_282","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos282.erdos_282","linked":false},{"id":"fc:283","kind":"statement","label":"Erdos283.erdos_283","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos283.erdos_283","linked":true},{"id":"fc:285","kind":"statement","label":"Erdos285.erdos_285","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos285.erdos_285","linked":false},{"id":"fc:287","kind":"statement","label":"Erdos287.erdos_287","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos287.erdos_287","linked":false},{"id":"fc:288","kind":"statement","label":"Erdos288.erdos_288","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos288.erdos_288","linked":false},{"id":"fc:289","kind":"statement","label":"Erdos289.erdos_289","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos289.erdos_289","linked":false},{"id":"fc:290","kind":"statement","label":"Erdos290.erdos_290","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos290.erdos_290","linked":true},{"id":"fc:291","kind":"statement","label":"Erdos291.erdos_291.variants.shiu_heuristic_density_zero","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos291.erdos_291.variants.shiu_heuristic_density_zero","linked":false},{"id":"fc:295","kind":"statement","label":"Erdos295.erdos_295","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos295.erdos_295","linked":false},{"id":"fc:296","kind":"statement","label":"FC 296 (PR #4343)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4343"},{"id":"fc:298","kind":"statement","label":"Erdos298.erdos_298","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos298.erdos_298","linked":true},{"id":"fc:299","kind":"statement","label":"Erdos299.erdos_299","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos299.erdos_299","linked":true},{"id":"fc:3","kind":"statement","label":"Erdos3.erdos_3","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos3.erdos_3","linked":false},{"id":"fc:30","kind":"statement","label":"Erdos30.erdos_30","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos30.erdos_30","linked":false},{"id":"fc:303","kind":"statement","label":"Erdos303.erdos_303","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos303.erdos_303","linked":true},{"id":"fc:304","kind":"statement","label":"Erdos304.unitFractionExpressible_zero_right","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos304.unitFractionExpressible_zero_right","linked":false},{"id":"fc:306","kind":"statement","label":"Erdos306.erdos_306","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos306.erdos_306","linked":false},{"id":"fc:307","kind":"statement","label":"Erdos307.erdos_307.barrier","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos307.erdos_307.barrier","linked":true},{"id":"fc:31","kind":"statement","label":"FC 31 (PR #4345)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4345"},{"id":"fc:312","kind":"statement","label":"Erdos312.erdos_312","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos312.erdos_312","linked":false},{"id":"fc:313","kind":"statement","label":"Erdos313.erdos_313","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos313.erdos_313","linked":false},{"id":"fc:314","kind":"statement","label":"Erdos314.erdos_314","stage":"draft","path":"statements/314/314.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:315","kind":"statement","label":"Erdos315.erdos_315","stage":"draft","path":"statements/315/315.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:316","kind":"statement","label":"Erdos316.erdos_316","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos316.erdos_316","linked":true},{"id":"fc:317","kind":"statement","label":"Erdos317.erdos_317","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos317.erdos_317","linked":false},{"id":"fc:318","kind":"statement","label":"Erdos318.erdos_318.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos318.erdos_318.parts.i","linked":false},{"id":"fc:319","kind":"statement","label":"Erdos319.erdos_319","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos319.erdos_319","linked":false},{"id":"fc:32","kind":"statement","label":"Erdos32.erdos_32","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos32.erdos_32","linked":false},{"id":"fc:321","kind":"statement","label":"Erdos321.erdos_321","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos321.erdos_321","linked":false},{"id":"fc:323","kind":"statement","label":"Erdos323.erdos_323.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos323.erdos_323.parts.i","linked":false},{"id":"fc:324","kind":"statement","label":"Erdos324.erdos_324","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos324.erdos_324","linked":false},{"id":"fc:325","kind":"statement","label":"Erdos325.erdos_325","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos325.erdos_325","linked":false},{"id":"fc:326","kind":"statement","label":"Erdos326.erdos_326","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos326.erdos_326","linked":false},{"id":"fc:328","kind":"statement","label":"Erdos328.erdos_328","stage":"draft","path":"statements/328/328.lean","gates_passed":true,"linked":false},{"id":"fc:329","kind":"statement","label":"Erdos329.erdos_329","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos329.erdos_329","linked":false},{"id":"fc:33","kind":"statement","label":"Erdos33.erdos_33","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos33.erdos_33","linked":false},{"id":"fc:330","kind":"statement","label":"Erdos330.erdos_330_statement","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos330.erdos_330_statement","linked":false},{"id":"fc:331","kind":"statement","label":"Erdos331.erdos_331","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos331.erdos_331","linked":true},{"id":"fc:332","kind":"statement","label":"Erdos332.erdos_332","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos332.erdos_332","linked":false},{"id":"fc:333","kind":"statement","label":"Erdos333.erdos_333","stage":"draft","path":"statements/333/333.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:34","kind":"statement","label":"FC 34 (PR #4345)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4345"},{"id":"fc:340","kind":"statement","label":"Erdos340.erdos_340","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos340.erdos_340","linked":false},{"id":"fc:341","kind":"statement","label":"Erdos341.erdos_341","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos341.erdos_341","linked":false},{"id":"fc:342","kind":"statement","label":"Erdos342.erdos_342.test.a1","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos342.erdos_342.test.a1","linked":false},{"id":"fc:346","kind":"statement","label":"Erdos346.erdos_346","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos346.erdos_346","linked":false},{"id":"fc:347","kind":"statement","label":"Erdos347.erdos_347","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos347.erdos_347","linked":true},{"id":"fc:348","kind":"statement","label":"Erdos348.erdos_348","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos348.erdos_348","linked":false},{"id":"fc:349","kind":"statement","label":"Erdos349.int_coeff_ge_two_not_isGoodPair","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos349.int_coeff_ge_two_not_isGoodPair","linked":true},{"id":"fc:350","kind":"statement","label":"Erdos350.erdos_350","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos350.erdos_350","linked":true},{"id":"fc:351","kind":"statement","label":"Erdos351.erdos_351","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos351.erdos_351","linked":true},{"id":"fc:352","kind":"statement","label":"Erdos352.erdos_352","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos352.erdos_352","linked":false},{"id":"fc:353","kind":"statement","label":"Erdos353.erdos_353","stage":"draft","path":"statements/353/353.lean","gates_passed":true,"linked":false},{"id":"fc:354","kind":"statement","label":"Erdos354.erdos_354.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos354.erdos_354.parts.i","linked":false},{"id":"fc:355","kind":"statement","label":"Erdos355.erdos_355","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos355.erdos_355","linked":true},{"id":"fc:357","kind":"statement","label":"Erdos357.erdos_357.variants.monotone.parts.ii.littleO_version","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos357.erdos_357.variants.monotone.parts.ii.littleO_version","linked":false},{"id":"fc:358","kind":"statement","label":"Erdos358.erdos_358.variants.prime_set_density_representation","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos358.erdos_358.variants.prime_set_density_representation","linked":false},{"id":"fc:359","kind":"statement","label":"Erdos359.erdos_359.variants.isGoodFor_1_asymptotic","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos359.erdos_359.variants.isGoodFor_1_asymptotic","linked":false},{"id":"fc:36","kind":"statement","label":"Erdos36.M_two","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos36.M_two","linked":true},{"id":"fc:361","kind":"statement","label":"Erdos361.erdos_361.bigO","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos361.erdos_361.bigO","linked":false},{"id":"fc:363","kind":"statement","label":"FC 363 (PR #4343)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4343"},{"id":"fc:364","kind":"statement","label":"Erdos364.erdos_364","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos364.erdos_364","linked":false},{"id":"fc:366","kind":"statement","label":"Erdos366.erdos_366","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos366.erdos_366","linked":false},{"id":"fc:367","kind":"statement","label":"FC 367 (PR #4354)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4354"},{"id":"fc:369","kind":"statement","label":"Erdos369.erdos_369","stage":"draft","path":"statements/369/369.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:370","kind":"statement","label":"Erdos370.erdos_370","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos370.erdos_370","linked":true},{"id":"fc:371","kind":"statement","label":"Erdos371.erdos_371","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos371.erdos_371","linked":false},{"id":"fc:372","kind":"statement","label":"FC 372 (PR #4316)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4316"},{"id":"fc:373","kind":"statement","label":"Erdos373.erdos_373","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos373.erdos_373","linked":false},{"id":"fc:375","kind":"statement","label":"Erdos375.erdos_375","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos375.erdos_375","linked":false},{"id":"fc:376","kind":"statement","label":"Erdos376.erdos_376","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos376.erdos_376","linked":false},{"id":"fc:377","kind":"statement","label":"Erdos377.erdos_377","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos377.erdos_377","linked":false},{"id":"fc:379","kind":"statement","label":"Erdos379.erdos_379","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos379.erdos_379","linked":true},{"id":"fc:38","kind":"statement","label":"Erdos38.erdos_38","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos38.erdos_38","linked":true},{"id":"fc:383","kind":"statement","label":"Erdos383.erdos_383","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos383.erdos_383","linked":false},{"id":"fc:385","kind":"statement","label":"Erdos385.trivial_ub","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos385.trivial_ub","linked":false},{"id":"fc:386","kind":"statement","label":"Erdos386.erdos_386","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos386.erdos_386","linked":false},{"id":"fc:387","kind":"statement","label":"Erdos387.erdos_387","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos387.erdos_387","linked":false},{"id":"fc:389","kind":"statement","label":"Erdos389.erdos_389","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos389.erdos_389","linked":false},{"id":"fc:39","kind":"statement","label":"Erdos39.erdos_39","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos39.erdos_39","linked":false},{"id":"fc:390","kind":"statement","label":"Erdos390.erdos_390","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos390.erdos_390","linked":false},{"id":"fc:392","kind":"statement","label":"Erdos392.erdos_392","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos392.erdos_392","linked":true},{"id":"fc:394","kind":"statement","label":"Erdos394.erdos_394.variants.lower_bound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos394.erdos_394.variants.lower_bound","linked":false},{"id":"fc:396","kind":"statement","label":"Erdos396.erdos_396","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos396.erdos_396","linked":false},{"id":"fc:397","kind":"statement","label":"Erdos397.erdos_397","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos397.erdos_397","linked":true},{"id":"fc:398","kind":"statement","label":"Erdos398.erdos_398","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos398.erdos_398","linked":false},{"id":"fc:399","kind":"statement","label":"Erdos399.erdos_399","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos399.erdos_399","linked":true},{"id":"fc:4","kind":"statement","label":"Erdos4.erdos_4","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos4.erdos_4","linked":false},{"id":"fc:40","kind":"statement","label":"Erdos40.erdos_40","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos40.erdos_40","linked":false},{"id":"fc:400","kind":"statement","label":"Erdos400.erdos_400.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos400.erdos_400.parts.ii","linked":false},{"id":"fc:401","kind":"statement","label":"Erdos401.erdos_401","stage":"draft","path":"statements/401/401.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:402","kind":"statement","label":"Erdos402.erdos_402","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos402.erdos_402","linked":false},{"id":"fc:403","kind":"statement","label":"Erdos403.erdos_403","stage":"draft","path":"statements/403/403.lean","gates_passed":true,"linked":false},{"id":"fc:405","kind":"statement","label":"FC 405 (PR #3881)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3881"},{"id":"fc:406","kind":"statement","label":"Erdos406.erdos_406","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos406.erdos_406","linked":false},{"id":"fc:409","kind":"statement","label":"Erdos409.erdos_409.variants.sigma_isBigO","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos409.erdos_409.variants.sigma_isBigO","linked":false},{"id":"fc:41","kind":"statement","label":"Erdos41.erdos_41","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos41.erdos_41","linked":false},{"id":"fc:410","kind":"statement","label":"Erdos410.erdos_410","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos410.erdos_410","linked":false},{"id":"fc:412","kind":"statement","label":"Erdos412.erdos_412","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos412.erdos_412","linked":false},{"id":"fc:413","kind":"statement","label":"Erdos413.erdos_413.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos413.erdos_413.parts.ii","linked":false},{"id":"fc:414","kind":"statement","label":"Erdos414.erdos_414","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos414.erdos_414","linked":false},{"id":"fc:416","kind":"statement","label":"Erdos416.erdos_416.variants.Maier_Pomerance","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos416.erdos_416.variants.Maier_Pomerance","linked":false},{"id":"fc:417","kind":"statement","label":"Erdos417.erdos_417.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos417.erdos_417.parts.i","linked":false},{"id":"fc:418","kind":"statement","label":"Erdos418.erdos_418","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos418.erdos_418","linked":true},{"id":"fc:419","kind":"statement","label":"FC 419 (PR #4346)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4346"},{"id":"fc:42","kind":"statement","label":"Erdos42.erdos_42","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos42.erdos_42","linked":true},{"id":"fc:421","kind":"statement","label":"Erdos421.erdos_421","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos421.erdos_421","linked":false},{"id":"fc:422","kind":"statement","label":"Erdos422.erdos_422","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos422.erdos_422","linked":false},{"id":"fc:423","kind":"statement","label":"FC 423 (PR #4067)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4067"},{"id":"fc:424","kind":"statement","label":"Erdos424.erdos_424","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos424.erdos_424","linked":false},{"id":"fc:425","kind":"statement","label":"FC 425 (PR #4068)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4068"},{"id":"fc:426","kind":"statement","label":"Erdos426.erdos_426","stage":"draft","path":"statements/426/426.lean","gates_passed":true,"linked":false},{"id":"fc:427","kind":"statement","label":"Erdos427.erdos_427","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos427.erdos_427","linked":true},{"id":"fc:428","kind":"statement","label":"Erdos428.erdos_428","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos428.erdos_428","linked":false},{"id":"fc:429","kind":"statement","label":"Erdos429.erdos_429","stage":"draft","path":"statements/429/429.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:43","kind":"statement","label":"Erdos43.erdos_43.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos43.erdos_43.parts.ii","linked":false},{"id":"fc:431","kind":"statement","label":"FC 431 (PR #4069)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4069"},{"id":"fc:433","kind":"statement","label":"FC 433 (PR #4070)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4070"},{"id":"fc:434","kind":"statement","label":"Erdos434.erdos_434.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos434.erdos_434.parts.i","linked":true},{"id":"fc:435","kind":"statement","label":"Erdos435.erdos_435","stage":"draft","path":"statements/435/435.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:44","kind":"statement","label":"Erdos44.erdos_44","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos44.erdos_44","linked":false},{"id":"fc:442","kind":"statement","label":"Erdos442.erdos_442","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos442.erdos_442","linked":false},{"id":"fc:443","kind":"statement","label":"Erdos443.erdos_443","stage":"draft","path":"statements/443/443.lean","gates_passed":true,"linked":true},{"id":"fc:445","kind":"statement","label":"Erdos445.erdos_445","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos445.erdos_445","linked":false},{"id":"fc:447","kind":"statement","label":"FC 447 (PR #4071)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4071"},{"id":"fc:448","kind":"statement","label":"Erdos448.erdos_448","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos448.erdos_448","linked":false},{"id":"fc:450","kind":"statement","label":"FC 450 (PR #4072)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4072"},{"id":"fc:452","kind":"statement","label":"FC 452 (PR #4073)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4073"},{"id":"fc:453","kind":"statement","label":"FC 453 (PR #4346)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4346"},{"id":"fc:454","kind":"statement","label":"Erdos454.erdos_454","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos454.erdos_454","linked":false},{"id":"fc:455","kind":"statement","label":"Erdos455.erdos_455","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos455.erdos_455","linked":false},{"id":"fc:456","kind":"statement","label":"Erdos456.erdos_456.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos456.erdos_456.parts.ii","linked":false},{"id":"fc:457","kind":"statement","label":"Erdos457.erdos_457","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos457.erdos_457","linked":true},{"id":"fc:458","kind":"statement","label":"Erdos458.erdos_458","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos458.erdos_458","linked":false},{"id":"fc:459","kind":"statement","label":"Erdos459.erdos_459","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos459.erdos_459","linked":true},{"id":"fc:462","kind":"statement","label":"FC 462 (PR #4074)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4074"},{"id":"fc:463","kind":"statement","label":"Erdos463.erdos_463","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos463.erdos_463","linked":false},{"id":"fc:464","kind":"statement","label":"Erdos464.erdos_464","stage":"draft","path":"statements/464/464.lean","gates_passed":true,"linked":false},{"id":"fc:467","kind":"statement","label":"FC 467 (PR #4075)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4075"},{"id":"fc:468","kind":"statement","label":"FC 468 (PR #4076)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4076"},{"id":"fc:469","kind":"statement","label":"Erdos469.erdos_469","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos469.erdos_469","linked":false},{"id":"fc:47","kind":"statement","label":"FC 47 (PR #4354)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4354"},{"id":"fc:470","kind":"statement","label":"Erdos470.erdos_470.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos470.erdos_470.parts.ii","linked":false},{"id":"fc:472","kind":"statement","label":"FC 472 (PR #4077)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4077"},{"id":"fc:474","kind":"statement","label":"FC 474 (PR #4213)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4213"},{"id":"fc:476","kind":"statement","label":"FC 476 (PR #4346)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4346"},{"id":"fc:477","kind":"statement","label":"Erdos477.erdos_477","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos477.erdos_477","linked":false},{"id":"fc:478","kind":"statement","label":"FC 478 (PR #4078)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4078"},{"id":"fc:479","kind":"statement","label":"Erdos479.erdos_479","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos479.erdos_479","linked":false},{"id":"fc:48","kind":"statement","label":"Erdos48.erdos_48","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos48.erdos_48","linked":false},{"id":"fc:480","kind":"statement","label":"Erdos480.erdos_480","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos480.erdos_480","linked":false},{"id":"fc:481","kind":"statement","label":"FC 481 (PR #4354)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4354"},{"id":"fc:483","kind":"statement","label":"FC 483 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:484","kind":"statement","label":"Erdos484.erdos_484","stage":"draft","path":"statements/484/484.lean","gates_passed":true,"linked":true},{"id":"fc:486","kind":"statement","label":"Erdos486.erdos_486","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos486.erdos_486","linked":false},{"id":"fc:487","kind":"statement","label":"Erdos487.erdos_487","stage":"draft","path":"statements/487/487.lean","gates_passed":true,"linked":true},{"id":"fc:488","kind":"statement","label":"Erdos488.erdos_488","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos488.erdos_488","linked":false},{"id":"fc:489","kind":"statement","label":"Erdos489.erdos_489","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos489.erdos_489","linked":false},{"id":"fc:493","kind":"statement","label":"Erdos493.erdos_493","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos493.erdos_493","linked":true},{"id":"fc:494","kind":"statement","label":"Erdos494.erdos_494.variants.k_eq_4_card_gt_12","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos494.erdos_494.variants.k_eq_4_card_gt_12","linked":false},{"id":"fc:495","kind":"statement","label":"Erdos495.erdos_495","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos495.erdos_495","linked":false},{"id":"fc:497","kind":"statement","label":"Erdos497.erdos_497","stage":"draft","path":"statements/497/497.lean","gates_passed":true,"linked":true},{"id":"fc:498","kind":"statement","label":"Erdos498.erdos_498","stage":"draft","path":"statements/498/498.lean","gates_passed":true,"linked":true},{"id":"fc:499","kind":"statement","label":"Erdos499.erdos_499","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos499.erdos_499","linked":true},{"id":"fc:5","kind":"statement","label":"FC 5 (PR #238)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/238"},{"id":"fc:50","kind":"statement","label":"Erdos50.erdos_50","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos50.erdos_50","linked":false},{"id":"fc:501","kind":"statement","label":"Erdos501.erdos_501","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos501.erdos_501","linked":false},{"id":"fc:502","kind":"statement","label":"Erdos502.erdos_502","stage":"draft","path":"statements/502/502.lean","gates_passed":true,"linked":true},{"id":"fc:503","kind":"statement","label":"Erdos503.erdos_503","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos503.erdos_503","linked":false},{"id":"fc:505","kind":"statement","label":"Erdos505.erdos_505","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos505.erdos_505","linked":true},{"id":"fc:507","kind":"statement","label":"Erdos507.erdos_507.upper","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos507.erdos_507.upper","linked":false},{"id":"fc:508","kind":"statement","label":"Erdos508.HadwigerNelsonProblem","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos508.HadwigerNelsonProblem","linked":false},{"id":"fc:509","kind":"statement","label":"Erdos509.erdos_509","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos509.erdos_509","linked":false},{"id":"fc:51","kind":"statement","label":"Erdos51.erdos_51","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos51.erdos_51","linked":false},{"id":"fc:510","kind":"statement","label":"Erdos510.erdos_510","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos510.erdos_510","linked":false},{"id":"fc:512","kind":"statement","label":"Erdos512.erdos_512","stage":"draft","path":"statements/512/512.lean","gates_passed":true,"linked":false},{"id":"fc:513","kind":"statement","label":"Erdos513.erdos_513","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos513.erdos_513","linked":false},{"id":"fc:516","kind":"statement","label":"Erdos516.erdos_516","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos516.erdos_516","linked":false},{"id":"fc:517","kind":"statement","label":"Erdos517.erdos_517","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos517.erdos_517","linked":false},{"id":"fc:519","kind":"statement","label":"FC 519 (PR #4346)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4346"},{"id":"fc:52","kind":"statement","label":"Erdos52.erdos_52","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos52.erdos_52","linked":false},{"id":"fc:520","kind":"statement","label":"Erdos520.erdos_520","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos520.erdos_520","linked":false},{"id":"fc:521","kind":"statement","label":"FC 521 (PR #3587)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3587"},{"id":"fc:522","kind":"statement","label":"Erdos522.erdos_522","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos522.erdos_522","linked":false},{"id":"fc:524","kind":"statement","label":"FC 524 (PR #3787)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3787"},{"id":"fc:529","kind":"statement","label":"FC 529 (PR #3587)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3587"},{"id":"fc:530","kind":"statement","label":"FC 530 (PR #4044)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4044"},{"id":"fc:531","kind":"statement","label":"FC 531 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:532","kind":"statement","label":"Erdos532.erdos_532","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos532.erdos_532","linked":true},{"id":"fc:533","kind":"statement","label":"FC 533 (PR #4293)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4293"},{"id":"fc:535","kind":"statement","label":"Erdos535.erdos_535","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos535.erdos_535","linked":false},{"id":"fc:536","kind":"statement","label":"Erdos536.erdos_536","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos536.erdos_536","linked":false},{"id":"fc:537","kind":"statement","label":"Erdos537.erdos_537","stage":"draft","path":"statements/537/537.lean","gates_passed":true,"linked":true},{"id":"fc:538","kind":"statement","label":"FC 538 (PR #4079)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4079"},{"id":"fc:539","kind":"statement","label":"Erdos539.erdos_539","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos539.erdos_539","linked":false},{"id":"fc:540","kind":"statement","label":"FC 540 (PR #4346)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4346"},{"id":"fc:541","kind":"statement","label":"Erdos541.erdos_541","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos541.erdos_541","linked":true},{"id":"fc:555","kind":"statement","label":"FC 555 (PR #4080)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4080"},{"id":"fc:56","kind":"statement","label":"Erdos56.erdos_56","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos56.erdos_56","linked":true},{"id":"fc:562","kind":"statement","label":"Erdos562.erdos_562","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos562.erdos_562","linked":false},{"id":"fc:564","kind":"statement","label":"Erdos564.erdos_564","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos564.erdos_564","linked":false},{"id":"fc:566","kind":"statement","label":"Erdos566.erdos_566","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos566.erdos_566","linked":false},{"id":"fc:567","kind":"statement","label":"Erdos567.erdos_567.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos567.erdos_567.parts.ii","linked":false},{"id":"fc:568","kind":"statement","label":"FC 568 (PR #1607)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/1607"},{"id":"fc:579","kind":"statement","label":"FC 579 (PR #4293)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4293"},{"id":"fc:582","kind":"statement","label":"Erdos582.erdos_582","stage":"draft","path":"statements/582/582.lean","gates_passed":true,"linked":true},{"id":"fc:587","kind":"statement","label":"Erdos587.erdos_587.variants.nguyen_vu","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos587.erdos_587.variants.nguyen_vu","linked":false},{"id":"fc:590","kind":"statement","label":"Erdos590.erdos_590","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos590.erdos_590","linked":false},{"id":"fc:591","kind":"statement","label":"Erdos591.erdos_591","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos591.erdos_591","linked":false},{"id":"fc:592","kind":"statement","label":"Erdos592.erdos_592","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos592.erdos_592","linked":false},{"id":"fc:593","kind":"statement","label":"Erdos593.erdos_593","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos593.erdos_593","linked":false},{"id":"fc:594","kind":"statement","label":"Erdos594.erdos_594","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos594.erdos_594","linked":false},{"id":"fc:595","kind":"statement","label":"Erdos595.erdos_595","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos595.erdos_595","linked":false},{"id":"fc:596","kind":"statement","label":"Erdos596.erdos_596","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos596.erdos_596","linked":false},{"id":"fc:597","kind":"statement","label":"FC 597 (PR #4228)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4228"},{"id":"fc:598","kind":"statement","label":"Erdos598.erdos_598","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos598.erdos_598","linked":false},{"id":"fc:599","kind":"statement","label":"Erdos599.erdos_599","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos599.erdos_599","linked":false},{"id":"fc:6","kind":"statement","label":"Erdos6.erdos_6","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos6.erdos_6","linked":false},{"id":"fc:60","kind":"statement","label":"FC 60 (PR #4311)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4311"},{"id":"fc:600","kind":"statement","label":"FC 600 (PR #3996)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3996"},{"id":"fc:601","kind":"statement","label":"FC 601 (PR #3788)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3788"},{"id":"fc:602","kind":"statement","label":"Erdos602.erdos_602","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos602.erdos_602","linked":false},{"id":"fc:603","kind":"statement","label":"FC 603 (PR #3776)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3776"},{"id":"fc:61","kind":"statement","label":"Erdos61.erdos_61","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos61.erdos_61","linked":false},{"id":"fc:613","kind":"statement","label":"Erdos613.erdos_613","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos613.erdos_613","linked":false},{"id":"fc:615","kind":"statement","label":"Erdos615.erdos_615","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos615.erdos_615","linked":false},{"id":"fc:617","kind":"statement","label":"Erdos617.erdos_617","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos617.erdos_617","linked":false},{"id":"fc:618","kind":"statement","label":"Erdos618.erdos_618","stage":"draft","path":"statements/618/618.lean","gates_passed":true,"linked":true},{"id":"fc:619","kind":"statement","label":"Erdos619.erdos_619","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos619.erdos_619","linked":true},{"id":"fc:621","kind":"statement","label":"Erdos621.erdos_621","stage":"draft","path":"statements/621/621.lean","gates_passed":true,"linked":false},{"id":"fc:623","kind":"statement","label":"Erdos623.erdos_623","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos623.erdos_623","linked":false},{"id":"fc:624","kind":"statement","label":"Erdos624.erdos_624","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos624.erdos_624","linked":false},{"id":"fc:625","kind":"statement","label":"FC 625 (PR #570)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/570"},{"id":"fc:628","kind":"statement","label":"FC 628 (PR #4311)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4311"},{"id":"fc:633","kind":"statement","label":"Erdos633.erdos_633","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos633.erdos_633","linked":false},{"id":"fc:639","kind":"statement","label":"Erdos639.erdos_639","stage":"draft","path":"statements/639/639.lean","gates_passed":true,"linked":false},{"id":"fc:64","kind":"statement","label":"Erdos64.erdos_64","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos64.erdos_64","linked":false},{"id":"fc:645","kind":"statement","label":"Erdos645.erdos_645","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos645.erdos_645","linked":true},{"id":"fc:646","kind":"statement","label":"Erdos646.erdos_646","stage":"draft","path":"statements/646/646.lean","gates_passed":true,"linked":true},{"id":"fc:647","kind":"statement","label":"Erdos647.erdos_647","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos647.erdos_647","linked":false},{"id":"fc:648","kind":"statement","label":"Erdos648.erdos_648","stage":"draft","path":"statements/648/648.lean","gates_passed":true,"linked":true},{"id":"fc:650","kind":"statement","label":"FC 650 (PR #4081)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4081"},{"id":"fc:653","kind":"statement","label":"Erdos653.erdos_653","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos653.erdos_653","linked":false},{"id":"fc:655","kind":"statement","label":"Erdos655.erdos_655","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos655.erdos_655","linked":true},{"id":"fc:659","kind":"statement","label":"Erdos659.erdos_659","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos659.erdos_659","linked":false},{"id":"fc:66","kind":"statement","label":"Erdos66.erdos_66","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos66.erdos_66","linked":false},{"id":"fc:663","kind":"statement","label":"FC 663 (PR #4082)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4082"},{"id":"fc:667","kind":"statement","label":"FC 667 (PR #4370)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4370"},{"id":"fc:67","kind":"statement","label":"Erdos67.erdos_67","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos67.erdos_67","linked":false},{"id":"fc:672","kind":"statement","label":"Erdos672.erdos_672","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos672.erdos_672","linked":false},{"id":"fc:676","kind":"statement","label":"FC 676 (PR #4083)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4083"},{"id":"fc:677","kind":"statement","label":"Erdos677.erdos_677","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos677.erdos_677","linked":false},{"id":"fc:678","kind":"statement","label":"Erdos678.erdos_678","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos678.erdos_678","linked":false},{"id":"fc:679","kind":"statement","label":"FC 679 (PR #4084)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4084"},{"id":"fc:68","kind":"statement","label":"Erdos68.erdos_68","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos68.erdos_68","linked":false},{"id":"fc:680","kind":"statement","label":"Erdos680.erdos_680.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos680.erdos_680.parts.i","linked":false},{"id":"fc:681","kind":"statement","label":"Erdos681.erdos_681","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos681.erdos_681","linked":false},{"id":"fc:683","kind":"statement","label":"Erdos683.erdos_683","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos683.erdos_683","linked":false},{"id":"fc:686","kind":"statement","label":"Erdos686.erdos_686","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos686.erdos_686","linked":false},{"id":"fc:688","kind":"statement","label":"Erdos688.erdos_688.parts.i.lower_bound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos688.erdos_688.parts.i.lower_bound","linked":false},{"id":"fc:689","kind":"statement","label":"Erdos689.erdos_689","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos689.erdos_689","linked":false},{"id":"fc:69","kind":"statement","label":"Erdos69.erdos_69","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos69.erdos_69","linked":false},{"id":"fc:691","kind":"statement","label":"FC 691 (PR #4085)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4085"},{"id":"fc:693","kind":"statement","label":"FC 693 (PR #4086)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4086"},{"id":"fc:694","kind":"statement","label":"Erdos694.erdos_694","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos694.erdos_694","linked":false},{"id":"fc:695","kind":"statement","label":"Erdos695.erdos_695","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos695.erdos_695","linked":false},{"id":"fc:696","kind":"statement","label":"FC 696 (PR #4029)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4029"},{"id":"fc:697","kind":"statement","label":"Erdos697.erdos_697.variants.delta_lt","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos697.erdos_697.variants.delta_lt","linked":false},{"id":"fc:699","kind":"statement","label":"Erdos699.sylvester_schur","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos699.sylvester_schur","linked":true},{"id":"fc:7","kind":"statement","label":"Erdos7.erdos_7","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos7.erdos_7","linked":false},{"id":"fc:70","kind":"statement","label":"Erdos70.erdos_70.variants.omega_three","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos70.erdos_70.variants.omega_three","linked":true},{"id":"fc:700","kind":"statement","label":"Erdos700.erdos_700.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos700.erdos_700.parts.ii","linked":false},{"id":"fc:701","kind":"statement","label":"Erdos701.erdos_701","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos701.erdos_701","linked":false},{"id":"fc:705","kind":"statement","label":"Erdos705.erdos_705","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos705.erdos_705","linked":false},{"id":"fc:707","kind":"statement","label":"Erdos707.erdos_707","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos707.erdos_707","linked":true},{"id":"fc:71","kind":"statement","label":"Erdos71.erdos_71","stage":"draft","path":"statements/71/71.lean","gates_passed":true,"linked":false},{"id":"fc:711","kind":"statement","label":"FC 711 (PR #4088)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4088"},{"id":"fc:723","kind":"statement","label":"Erdos723.erdos_723","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos723.erdos_723","linked":false},{"id":"fc:726","kind":"statement","label":"Erdos726.erdos_726","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos726.erdos_726","linked":false},{"id":"fc:727","kind":"statement","label":"Erdos727.erdos_727","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos727.erdos_727","linked":false},{"id":"fc:728","kind":"statement","label":"Erdos728.erdos_728","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos728.erdos_728","linked":true},{"id":"fc:729","kind":"statement","label":"Erdos729.erdos_729","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos729.erdos_729","linked":true},{"id":"fc:730","kind":"statement","label":"Erdos730.erdos_730","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos730.erdos_730","linked":false},{"id":"fc:74","kind":"statement","label":"Erdos74.erdos_74","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos74.erdos_74","linked":false},{"id":"fc:740","kind":"statement","label":"Erdos740.erdos_740","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos740.erdos_740","linked":false},{"id":"fc:741","kind":"statement","label":"Erdos741.erdos_741.variants.upper","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos741.erdos_741.variants.upper","linked":true},{"id":"fc:742","kind":"statement","label":"Erdos742.erdos_742","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos742.erdos_742","linked":false},{"id":"fc:749","kind":"statement","label":"Erdos749.erdos_749","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos749.erdos_749","linked":false},{"id":"fc:75","kind":"statement","label":"Erdos75.erdos_75","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos75.erdos_75","linked":false},{"id":"fc:750","kind":"statement","label":"Erdos750.erdos_750","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos750.erdos_750","linked":false},{"id":"fc:755","kind":"statement","label":"Erdos755.erdos_755","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos755.erdos_755","linked":false},{"id":"fc:757","kind":"statement","label":"Erdos757.erdos_757","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos757.erdos_757","linked":false},{"id":"fc:768","kind":"statement","label":"FC 768 (PR #4089)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4089"},{"id":"fc:77","kind":"statement","label":"FC 77 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:770","kind":"statement","label":"Erdos770.erdos_770.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos770.erdos_770.parts.ii","linked":false},{"id":"fc:774","kind":"statement","label":"Erdos774.erdos_774","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos774.erdos_774","linked":false},{"id":"fc:779","kind":"statement","label":"Erdos779.erdos_779","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos779.erdos_779","linked":false},{"id":"fc:78","kind":"statement","label":"FC 78 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:786","kind":"statement","label":"Erdos786.erdos_786.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos786.erdos_786.parts.i","linked":false},{"id":"fc:789","kind":"statement","label":"Erdos789.erdos_789","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos789.erdos_789","linked":false},{"id":"fc:794","kind":"statement","label":"FC 794 (PR #1739)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/1739"},{"id":"fc:810","kind":"statement","label":"FC 810 (PR #4090)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4090"},{"id":"fc:812","kind":"statement","label":"Erdos812.erdos_812.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos812.erdos_812.parts.ii","linked":false},{"id":"fc:817","kind":"statement","label":"Erdos817.erdos_817","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos817.erdos_817","linked":false},{"id":"fc:82","kind":"statement","label":"Erdos82.erdos_82","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos82.erdos_82","linked":false},{"id":"fc:821","kind":"statement","label":"FC 821 (PR #4351)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4351"},{"id":"fc:822","kind":"statement","label":"Erdos822.erdos_822","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos822.erdos_822","linked":false},{"id":"fc:825","kind":"statement","label":"Erdos825.erdos_825","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos825.erdos_825","linked":false},{"id":"fc:826","kind":"statement","label":"Erdos826.erdos_826","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos826.erdos_826","linked":false},{"id":"fc:828","kind":"statement","label":"Erdos828.erdos_828.variants.phi_dvd_self_iff_pow2_pow3","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos828.erdos_828.variants.phi_dvd_self_iff_pow2_pow3","linked":true},{"id":"fc:829","kind":"statement","label":"Erdos829.erdos_829","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos829.erdos_829","linked":false},{"id":"fc:830","kind":"statement","label":"Erdos830.erdos_830.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos830.erdos_830.parts.ii","linked":false},{"id":"fc:835","kind":"statement","label":"Erdos835.erdos_835","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos835.erdos_835","linked":false},{"id":"fc:838","kind":"statement","label":"FC 838 (PR #1706)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/1706"},{"id":"fc:839","kind":"statement","label":"FC 839 (PR #3586)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3586"},{"id":"fc:845","kind":"statement","label":"Erdos845.erdos_845","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos845.erdos_845","linked":true},{"id":"fc:846","kind":"statement","label":"Erdos846.erdos_846","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos846.erdos_846","linked":true},{"id":"fc:847","kind":"statement","label":"Erdos847.erdos_847","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos847.erdos_847","linked":false},{"id":"fc:848","kind":"statement","label":"Erdos848.erdos_848.variants.asymptotic","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos848.erdos_848.variants.asymptotic","linked":true},{"id":"fc:849","kind":"statement","label":"Erdos849.erdos_849","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos849.erdos_849","linked":false},{"id":"fc:85","kind":"statement","label":"Erdos85.erdos_85","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos85.erdos_85","linked":false},{"id":"fc:850","kind":"statement","label":"Erdos850.erdos_850","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos850.erdos_850","linked":false},{"id":"fc:851","kind":"statement","label":"Erdos851.erdos_851","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos851.erdos_851","linked":false},{"id":"fc:853","kind":"statement","label":"Erdos853.erdos_853.parts.i","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos853.erdos_853.parts.i","linked":false},{"id":"fc:855","kind":"statement","label":"Erdos855.erdos_855","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos855.erdos_855","linked":false},{"id":"fc:857","kind":"statement","label":"Erdos857.erdos_857","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos857.erdos_857","linked":false},{"id":"fc:859","kind":"statement","label":"Erdos859.erdos_859","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos859.erdos_859","linked":false},{"id":"fc:865","kind":"statement","label":"Erdos865.erdos_865","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos865.erdos_865","linked":false},{"id":"fc:868","kind":"statement","label":"Erdos868.erdos_868.variants.Hartter_Nathanson","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos868.erdos_868.variants.Hartter_Nathanson","linked":false},{"id":"fc:87","kind":"statement","label":"FC 87 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:871","kind":"statement","label":"Erdos871.erdos_871","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos871.erdos_871","linked":true},{"id":"fc:872","kind":"statement","label":"FC 872 (PR #4226)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4226"},{"id":"fc:873","kind":"statement","label":"Erdos873.erdos_873","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos873.erdos_873","linked":false},{"id":"fc:881","kind":"statement","label":"Erdos881.erdos_881","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos881.erdos_881","linked":false},{"id":"fc:884","kind":"statement","label":"Erdos884.erdos_884","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos884.erdos_884","linked":false},{"id":"fc:885","kind":"statement","label":"Erdos885.erdos_885","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos885.erdos_885","linked":false},{"id":"fc:886","kind":"statement","label":"Erdos886.erdos_886","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos886.erdos_886","linked":false},{"id":"fc:887","kind":"statement","label":"Erdos887.erdos_887.variants.rosenfeld_4","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos887.erdos_887.variants.rosenfeld_4","linked":false},{"id":"fc:888","kind":"statement","label":"Erdos888.erdos_888","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos888.erdos_888","linked":false},{"id":"fc:889","kind":"statement","label":"Erdos889.erdos_889","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos889.erdos_889","linked":false},{"id":"fc:89","kind":"statement","label":"Erdos89.erdos_89","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos89.erdos_89","linked":false},{"id":"fc:890","kind":"statement","label":"Erdos890.erdos_890.variants.liminf_lower_bound","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos890.erdos_890.variants.liminf_lower_bound","linked":false},{"id":"fc:891","kind":"statement","label":"Erdos891.erdos_891","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos891.erdos_891","linked":false},{"id":"fc:893","kind":"statement","label":"Erdos893.erdos_893","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos893.erdos_893","linked":false},{"id":"fc:897","kind":"statement","label":"Erdos897.erdos_897.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos897.erdos_897.parts.ii","linked":true},{"id":"fc:899","kind":"statement","label":"Erdos899.erdos_899","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos899.erdos_899","linked":false},{"id":"fc:9","kind":"statement","label":"Erdos9.erdos_9","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos9.erdos_9","linked":false},{"id":"fc:90","kind":"statement","label":"Erdos90.erdos_90","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos90.erdos_90","linked":false},{"id":"fc:904","kind":"statement","label":"Erdos904.erdos_904","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos904.erdos_904","linked":true},{"id":"fc:906","kind":"statement","label":"Erdos906.erdos_906","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos906.erdos_906","linked":false},{"id":"fc:91","kind":"statement","label":"Erdos91.erdos_91","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos91.erdos_91","linked":false},{"id":"fc:912","kind":"statement","label":"Erdos912.erdos_912","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos912.erdos_912","linked":false},{"id":"fc:913","kind":"statement","label":"Erdos913.erdos_913","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos913.erdos_913","linked":false},{"id":"fc:918","kind":"statement","label":"Erdos918.erdos_918.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos918.erdos_918.parts.ii","linked":false},{"id":"fc:92","kind":"statement","label":"Erdos92.erdos_92.variants.strong","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos92.erdos_92.variants.strong","linked":false},{"id":"fc:920","kind":"statement","label":"Erdos920.erdos_920","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos920.erdos_920","linked":false},{"id":"fc:923","kind":"statement","label":"Erdos923.erdos_923","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos923.erdos_923","linked":true},{"id":"fc:93","kind":"statement","label":"Erdos93.erdos_93","stage":"draft","path":"statements/93/93.lean","gates_passed":true,"linked":true,"url":"https://github.com/google-deepmind/formal-conjectures/pull/4369"},{"id":"fc:930","kind":"statement","label":"Erdos930.erdos_930","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos930.erdos_930","linked":false},{"id":"fc:931","kind":"statement","label":"Erdos931.erdos_931","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos931.erdos_931","linked":false},{"id":"fc:932","kind":"statement","label":"Erdos932.erdos_932","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos932.erdos_932","linked":false},{"id":"fc:933","kind":"statement","label":"FC 933 (PR #4353)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4353"},{"id":"fc:936","kind":"statement","label":"Erdos936.erdos_936.variants.factorial_sub_one","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos936.erdos_936.variants.factorial_sub_one","linked":false},{"id":"fc:937","kind":"statement","label":"Erdos937.erdos_937","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos937.erdos_937","linked":false},{"id":"fc:938","kind":"statement","label":"Erdos938.erdos_938","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos938.erdos_938","linked":false},{"id":"fc:939","kind":"statement","label":"Erdos939.erdos_939","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos939.erdos_939","linked":false},{"id":"fc:940","kind":"statement","label":"Erdos940.erdos_940","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos940.erdos_940","linked":false},{"id":"fc:942","kind":"statement","label":"Erdos942.erdos_942","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos942.erdos_942","linked":false},{"id":"fc:943","kind":"statement","label":"Erdos943.erdos_943","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos943.erdos_943","linked":false},{"id":"fc:944","kind":"statement","label":"Erdos944.erdos_944","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos944.erdos_944","linked":false},{"id":"fc:945","kind":"statement","label":"Erdos945.erdos_945","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos945.erdos_945","linked":false},{"id":"fc:946","kind":"statement","label":"Erdos946.erdos_946","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos946.erdos_946","linked":false},{"id":"fc:948","kind":"statement","label":"FC 948 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:949","kind":"statement","label":"Erdos949.erdos_949.variants.sidon","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos949.erdos_949.variants.sidon","linked":false},{"id":"fc:950","kind":"statement","label":"Erdos950.erdos_950.parts.ii","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos950.erdos_950.parts.ii","linked":false},{"id":"fc:951","kind":"statement","label":"Erdos951.erdos_951","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos951.erdos_951","linked":false},{"id":"fc:952","kind":"statement","label":"Erdos952.erdos_952","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos952.erdos_952","linked":false},{"id":"fc:953","kind":"statement","label":"FC 953 (PR #3977)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3977"},{"id":"fc:955","kind":"statement","label":"FC 955 (PR #4352)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4352"},{"id":"fc:96","kind":"statement","label":"Erdos96.erdos_96","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos96.erdos_96","linked":false},{"id":"fc:961","kind":"statement","label":"Erdos961.erdos_961","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos961.erdos_961","linked":false},{"id":"fc:962","kind":"statement","label":"Erdos962.erdos_962","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos962.erdos_962","linked":false},{"id":"fc:965","kind":"statement","label":"Erdos965.erdos_965","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos965.erdos_965","linked":false},{"id":"fc:968","kind":"statement","label":"Erdos968.erdos_968","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos968.erdos_968","linked":false},{"id":"fc:969","kind":"statement","label":"FC 969 (PR #4091)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4091"},{"id":"fc:97","kind":"statement","label":"Erdos97.erdos_97","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos97.erdos_97","linked":false},{"id":"fc:971","kind":"statement","label":"Erdos971.erdos_971","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos971.erdos_971","linked":false},{"id":"fc:972","kind":"statement","label":"Erdos972.erdos_972","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos972.erdos_972","linked":false},{"id":"fc:973","kind":"statement","label":"Erdos973.erdos_973","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos973.erdos_973","linked":false},{"id":"fc:975","kind":"statement","label":"Erdos975.erdos_975","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos975.erdos_975","linked":false},{"id":"fc:978","kind":"statement","label":"Erdos978.erdos_978.variants.allow_fixed_divisors","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos978.erdos_978.variants.allow_fixed_divisors","linked":true},{"id":"fc:979","kind":"statement","label":"Erdos979.erdos_979","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos979.erdos_979","linked":false},{"id":"fc:98","kind":"statement","label":"Erdos98.erdos_98","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos98.erdos_98","linked":false},{"id":"fc:982","kind":"statement","label":"Erdos982.erdos_982","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos982.erdos_982","linked":false},{"id":"fc:985","kind":"statement","label":"Erdos985.erdos_985","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos985.erdos_985","linked":false},{"id":"fc:986","kind":"statement","label":"FC 986 (PR #3588)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/3588"},{"id":"fc:987","kind":"statement","label":"FC 987 (PR #4354)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4354"},{"id":"fc:99","kind":"statement","label":"Erdos99.erdos_99","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos99.erdos_99","linked":false},{"id":"fc:993","kind":"statement","label":"FC 993 (PR #4192)","stage":"in-pr","url":"https://github.com/google-deepmind/formal-conjectures/pull/4192"},{"id":"fc:996","kind":"statement","label":"Erdos996.erdos_996","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos996.erdos_996","linked":false},{"id":"fc:997","kind":"statement","label":"Erdos997.erdos_997","url":"https://google-deepmind.github.io/formal-conjectures/theorem/?name=Erdos997.erdos_997","linked":true},{"id":"proof:jayyhk:1000","kind":"proof","label":"jayyhk proof of 1000","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1000/Erdos1000.lean","state":"complete"},{"id":"proof:jayyhk:1007","kind":"proof","label":"jayyhk proof of 1007","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1007/Erdos1007.lean","state":"complete"},{"id":"proof:jayyhk:1008","kind":"proof","label":"jayyhk proof of 1008","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1008/Erdos1008.lean","state":"complete"},{"id":"proof:jayyhk:1014","kind":"proof","label":"jayyhk proof of 1014","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1014/Erdos1014.lean","state":"complete"},{"id":"proof:jayyhk:1022","kind":"proof","label":"jayyhk proof of 1022","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1022/Erdos1022.lean","state":"complete"},{"id":"proof:jayyhk:1023","kind":"proof","label":"jayyhk proof of 1023","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1023/Erdos1023.lean","state":"complete"},{"id":"proof:jayyhk:1026","kind":"proof","label":"jayyhk proof of 1026","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1026/Erdos1026.lean","state":"complete"},{"id":"proof:jayyhk:1028","kind":"proof","label":"jayyhk proof of 1028","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1028/Erdos1028.lean","state":"complete"},{"id":"proof:jayyhk:1034","kind":"proof","label":"jayyhk proof of 1034","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1034/Erdos1034.lean","state":"complete"},{"id":"proof:jayyhk:1036","kind":"proof","label":"jayyhk proof of 1036","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1036/Erdos1036.lean","state":"complete"},{"id":"proof:jayyhk:1037","kind":"proof","label":"jayyhk proof of 1037","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1037/Erdos1037.lean","state":"complete"},{"id":"proof:jayyhk:1043","kind":"proof","label":"jayyhk proof of 1043","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1043/Erdos1043.lean","state":"complete"},{"id":"proof:jayyhk:1044","kind":"proof","label":"jayyhk proof of 1044","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1044/Erdos1044.lean","state":"complete"},{"id":"proof:jayyhk:1047","kind":"proof","label":"jayyhk proof of 1047","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1047/Erdos1047.lean","state":"complete"},{"id":"proof:jayyhk:1048","kind":"proof","label":"jayyhk proof of 1048","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1048/Erdos1048.lean","state":"complete"},{"id":"proof:jayyhk:105","kind":"proof","label":"jayyhk proof of 105","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/105/Erdos105.lean","state":"complete"},{"id":"proof:jayyhk:1051","kind":"proof","label":"jayyhk proof of 1051","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1051/Erdos1051.lean","state":"complete"},{"id":"proof:jayyhk:1067","kind":"proof","label":"jayyhk proof of 1067","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1067/Erdos1067.lean","state":"complete"},{"id":"proof:jayyhk:1071","kind":"proof","label":"jayyhk proof of 1071","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1071/Erdos1071.lean","state":"complete"},{"id":"proof:jayyhk:1080","kind":"proof","label":"jayyhk proof of 1080","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1080/Erdos1080.lean","state":"complete"},{"id":"proof:jayyhk:1090","kind":"proof","label":"jayyhk proof of 1090","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1090/Erdos1090.lean","state":"complete"},{"id":"proof:jayyhk:1098","kind":"proof","label":"jayyhk proof of 1098","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1098/Erdos1098.lean","state":"complete"},{"id":"proof:jayyhk:1102","kind":"proof","label":"jayyhk proof of 1102","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1102/Erdos1102.lean","state":"complete"},{"id":"proof:jayyhk:1121","kind":"proof","label":"jayyhk proof of 1121","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1121/Erdos1121.lean","state":"complete"},{"id":"proof:jayyhk:1125","kind":"proof","label":"jayyhk proof of 1125","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1125/Erdos1125.lean","state":"complete"},{"id":"proof:jayyhk:1126","kind":"proof","label":"jayyhk proof of 1126","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1126/Erdos1126.lean","state":"complete"},{"id":"proof:jayyhk:1134","kind":"proof","label":"jayyhk proof of 1134","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1134/Erdos1134.lean","state":"complete"},{"id":"proof:jayyhk:1136","kind":"proof","label":"jayyhk proof of 1136","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1136/Erdos1136.lean","state":"complete"},{"id":"proof:jayyhk:1138","kind":"proof","label":"jayyhk proof of 1138","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1138/Erdos1138.lean","state":"complete"},{"id":"proof:jayyhk:1141","kind":"proof","label":"jayyhk proof of 1141","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1141/Erdos1141.lean","state":"axiomatic"},{"id":"proof:jayyhk:1148","kind":"proof","label":"jayyhk proof of 1148","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1148/Erdos1148.lean","state":"axiomatic"},{"id":"proof:jayyhk:115","kind":"proof","label":"jayyhk proof of 115","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/115/Erdos115.lean","state":"complete"},{"id":"proof:jayyhk:1190","kind":"proof","label":"jayyhk proof of 1190","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1190/Erdos1190.lean","state":"complete"},{"id":"proof:jayyhk:1193","kind":"proof","label":"jayyhk proof of 1193","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1193/Erdos1193.lean","state":"complete"},{"id":"proof:jayyhk:1196","kind":"proof","label":"jayyhk proof of 1196","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1196/Erdos1196.lean","state":"complete"},{"id":"proof:jayyhk:1197","kind":"proof","label":"jayyhk proof of 1197","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/1197/Erdos1197.lean","state":"complete"},{"id":"proof:jayyhk:125","kind":"proof","label":"jayyhk proof of 125","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/125/Erdos125.lean","state":"complete"},{"id":"proof:jayyhk:134","kind":"proof","label":"jayyhk proof of 134","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/134/Erdos134.lean","state":"complete"},{"id":"proof:jayyhk:150","kind":"proof","label":"jayyhk proof of 150","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/150/Erdos150.lean","state":"complete"},{"id":"proof:jayyhk:154","kind":"proof","label":"jayyhk proof of 154","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/154/Erdos154.lean","state":"complete"},{"id":"proof:jayyhk:16","kind":"proof","label":"jayyhk proof of 16","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/16/Erdos16.lean","state":"complete"},{"id":"proof:jayyhk:164","kind":"proof","label":"jayyhk proof of 164","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/164/Erdos164.lean","state":"complete"},{"id":"proof:jayyhk:178","kind":"proof","label":"jayyhk proof of 178","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/178/Erdos178.lean","state":"complete"},{"id":"proof:jayyhk:189","kind":"proof","label":"jayyhk proof of 189","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/189/Erdos189.lean","state":"complete"},{"id":"proof:jayyhk:192","kind":"proof","label":"jayyhk proof of 192","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/192/Erdos192.lean","state":"trust_extended"},{"id":"proof:jayyhk:194","kind":"proof","label":"jayyhk proof of 194","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/194/Erdos194.lean","state":"complete"},{"id":"proof:jayyhk:198","kind":"proof","label":"jayyhk proof of 198","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/198/Erdos198.lean","state":"complete"},{"id":"proof:jayyhk:199","kind":"proof","label":"jayyhk proof of 199","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/199/Erdos199.lean","state":"complete"},{"id":"proof:jayyhk:202","kind":"proof","label":"jayyhk proof of 202","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/202/Erdos202.lean","state":"complete"},{"id":"proof:jayyhk:204","kind":"proof","label":"jayyhk proof of 204","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/204/Erdos204.lean","state":"complete"},{"id":"proof:jayyhk:205","kind":"proof","label":"jayyhk proof of 205","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/205/Erdos205.lean","state":"complete"},{"id":"proof:jayyhk:206","kind":"proof","label":"jayyhk proof of 206","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/206/Erdos206.lean","state":"complete"},{"id":"proof:jayyhk:209","kind":"proof","label":"jayyhk proof of 209","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/209/Erdos209.lean","state":"complete"},{"id":"proof:jayyhk:214","kind":"proof","label":"jayyhk proof of 214","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/214/Erdos214.lean","state":"complete"},{"id":"proof:jayyhk:221","kind":"proof","label":"jayyhk proof of 221","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/221/Erdos221.lean","state":"complete"},{"id":"proof:jayyhk:224","kind":"proof","label":"jayyhk proof of 224","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/224/Erdos224.lean","state":"complete"},{"id":"proof:jayyhk:226","kind":"proof","label":"jayyhk proof of 226","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/226/Erdos226.lean","state":"complete"},{"id":"proof:jayyhk:229","kind":"proof","label":"jayyhk proof of 229","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/229/Erdos229.lean","state":"complete"},{"id":"proof:jayyhk:231","kind":"proof","label":"jayyhk proof of 231","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/231/Erdos231.lean","state":"trust_extended"},{"id":"proof:jayyhk:237","kind":"proof","label":"jayyhk proof of 237","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/237/Erdos237.lean","state":"axiomatic"},{"id":"proof:jayyhk:24","kind":"proof","label":"jayyhk proof of 24","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/24/Erdos24.lean","state":"complete"},{"id":"proof:jayyhk:246","kind":"proof","label":"jayyhk proof of 246","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/246/Erdos246.lean","state":"complete"},{"id":"proof:jayyhk:258","kind":"proof","label":"jayyhk proof of 258","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/258/Erdos258.lean","state":"axiomatic"},{"id":"proof:jayyhk:259","kind":"proof","label":"jayyhk proof of 259","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/259/Erdos259.lean","state":"complete"},{"id":"proof:jayyhk:26","kind":"proof","label":"jayyhk proof of 26","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/26/Erdos26.lean","state":"complete"},{"id":"proof:jayyhk:268","kind":"proof","label":"jayyhk proof of 268","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/268/Erdos268.lean","state":"complete"},{"id":"proof:jayyhk:275","kind":"proof","label":"jayyhk proof of 275","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/275/Erdos275.lean","state":"complete"},{"id":"proof:jayyhk:280","kind":"proof","label":"jayyhk proof of 280","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/280/Erdos280.lean","state":"complete"},{"id":"proof:jayyhk:281","kind":"proof","label":"jayyhk proof of 281","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/281/Erdos281.lean","state":"complete"},{"id":"proof:jayyhk:283","kind":"proof","label":"jayyhk proof of 283","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/283/Erdos283.lean","state":"complete"},{"id":"proof:jayyhk:290","kind":"proof","label":"jayyhk proof of 290","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/290/Erdos290.lean","state":"complete"},{"id":"proof:jayyhk:296","kind":"proof","label":"jayyhk proof of 296","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/296/Erdos296.lean","state":"complete"},{"id":"proof:jayyhk:298","kind":"proof","label":"jayyhk proof of 298","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/298/Erdos298.lean","state":"complete"},{"id":"proof:jayyhk:299","kind":"proof","label":"jayyhk proof of 299","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/299/Erdos299.lean","state":"complete"},{"id":"proof:jayyhk:303","kind":"proof","label":"jayyhk proof of 303","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/303/Erdos303.lean","state":"complete"},{"id":"proof:jayyhk:31","kind":"proof","label":"jayyhk proof of 31","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/31/Erdos31.lean","state":"complete"},{"id":"proof:jayyhk:314","kind":"proof","label":"jayyhk proof of 314","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/314/Erdos314.lean","state":"complete"},{"id":"proof:jayyhk:315","kind":"proof","label":"jayyhk proof of 315","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/315/Erdos315.lean","state":"complete"},{"id":"proof:jayyhk:316","kind":"proof","label":"jayyhk proof of 316","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/316/Erdos316.lean","state":"complete"},{"id":"proof:jayyhk:328","kind":"proof","label":"jayyhk proof of 328","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/328/Erdos328.lean","state":"complete"},{"id":"proof:jayyhk:330","kind":"proof","label":"jayyhk proof of 330","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/330/Erdos330.lean","state":"complete"},{"id":"proof:jayyhk:331","kind":"proof","label":"jayyhk proof of 331","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/331/Erdos331.lean","state":"complete"},{"id":"proof:jayyhk:333","kind":"proof","label":"jayyhk proof of 333","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/333/Erdos333.lean","state":"complete"},{"id":"proof:jayyhk:337","kind":"proof","label":"jayyhk proof of 337","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/337/Erdos337.lean","state":"complete"},{"id":"proof:jayyhk:34","kind":"proof","label":"jayyhk proof of 34","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/34/Erdos34.lean","state":"complete"},{"id":"proof:jayyhk:347","kind":"proof","label":"jayyhk proof of 347","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/347/Erdos347.lean","state":"complete"},{"id":"proof:jayyhk:350","kind":"proof","label":"jayyhk proof of 350","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/350/Erdos350.lean","state":"complete"},{"id":"proof:jayyhk:351","kind":"proof","label":"jayyhk proof of 351","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/351/Erdos351.lean","state":"complete"},{"id":"proof:jayyhk:353","kind":"proof","label":"jayyhk proof of 353","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/353/Erdos353.lean","state":"complete"},{"id":"proof:jayyhk:355","kind":"proof","label":"jayyhk proof of 355","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/355/Erdos355.lean","state":"complete"},{"id":"proof:jayyhk:363","kind":"proof","label":"jayyhk proof of 363","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/363/Erdos363.lean","state":"complete"},{"id":"proof:jayyhk:369","kind":"proof","label":"jayyhk proof of 369","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/369/Erdos369.lean","state":"complete"},{"id":"proof:jayyhk:370","kind":"proof","label":"jayyhk proof of 370","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/370/Erdos370.lean","state":"complete"},{"id":"proof:jayyhk:379","kind":"proof","label":"jayyhk proof of 379","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/379/Erdos379.lean","state":"complete"},{"id":"proof:jayyhk:38","kind":"proof","label":"jayyhk proof of 38","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/38/Erdos38.lean","state":"complete"},{"id":"proof:jayyhk:392","kind":"proof","label":"jayyhk proof of 392","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/392/Erdos392.lean","state":"complete"},{"id":"proof:jayyhk:397","kind":"proof","label":"jayyhk proof of 397","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/397/Erdos397.lean","state":"complete"},{"id":"proof:jayyhk:399","kind":"proof","label":"jayyhk proof of 399","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/399/Erdos399.lean","state":"complete"},{"id":"proof:jayyhk:401","kind":"proof","label":"jayyhk proof of 401","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/401/Erdos401.lean","state":"complete"},{"id":"proof:jayyhk:403","kind":"proof","label":"jayyhk proof of 403","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/403/Erdos403.lean","state":"complete"},{"id":"proof:jayyhk:418","kind":"proof","label":"jayyhk proof of 418","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/418/Erdos418.lean","state":"trust_extended"},{"id":"proof:jayyhk:419","kind":"proof","label":"jayyhk proof of 419","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/419/Erdos419.lean","state":"complete"},{"id":"proof:jayyhk:42","kind":"proof","label":"jayyhk proof of 42","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/42/Erdos42.lean","state":"complete"},{"id":"proof:jayyhk:426","kind":"proof","label":"jayyhk proof of 426","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/426/Erdos426.lean","state":"complete"},{"id":"proof:jayyhk:427","kind":"proof","label":"jayyhk proof of 427","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/427/Erdos427.lean","state":"axiomatic"},{"id":"proof:jayyhk:429","kind":"proof","label":"jayyhk proof of 429","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/429/Erdos429.lean","state":"complete"},{"id":"proof:jayyhk:433","kind":"proof","label":"jayyhk proof of 433","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/433/Erdos433.lean","state":"complete"},{"id":"proof:jayyhk:434","kind":"proof","label":"jayyhk proof of 434","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/434/Erdos434.lean","state":"complete"},{"id":"proof:jayyhk:435","kind":"proof","label":"jayyhk proof of 435","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/435/Erdos435.lean","state":"complete"},{"id":"proof:jayyhk:443","kind":"proof","label":"jayyhk proof of 443","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/443/Erdos443.lean","state":"complete"},{"id":"proof:jayyhk:447","kind":"proof","label":"jayyhk proof of 447","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/447/Erdos447.lean","state":"complete"},{"id":"proof:jayyhk:45","kind":"proof","label":"jayyhk proof of 45","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/45/Erdos45.lean","state":"complete"},{"id":"proof:jayyhk:453","kind":"proof","label":"jayyhk proof of 453","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/453/Erdos453.lean","state":"complete"},{"id":"proof:jayyhk:457","kind":"proof","label":"jayyhk proof of 457","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/457/Erdos457.lean","state":"complete"},{"id":"proof:jayyhk:459","kind":"proof","label":"jayyhk proof of 459","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/459/Erdos459.lean","state":"complete"},{"id":"proof:jayyhk:46","kind":"proof","label":"jayyhk proof of 46","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/46/Erdos46.lean","state":"complete"},{"id":"proof:jayyhk:464","kind":"proof","label":"jayyhk proof of 464","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/464/Erdos464.lean","state":"complete"},{"id":"proof:jayyhk:47","kind":"proof","label":"jayyhk proof of 47","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/47/Erdos47.lean","state":"complete"},{"id":"proof:jayyhk:476","kind":"proof","label":"jayyhk proof of 476","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/476/Erdos476.lean","state":"complete"},{"id":"proof:jayyhk:481","kind":"proof","label":"jayyhk proof of 481","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/481/Erdos481.lean","state":"complete"},{"id":"proof:jayyhk:484","kind":"proof","label":"jayyhk proof of 484","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/484/Erdos484.lean","state":"complete"},{"id":"proof:jayyhk:487","kind":"proof","label":"jayyhk proof of 487","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/487/Erdos487.lean","state":"complete"},{"id":"proof:jayyhk:490","kind":"proof","label":"jayyhk proof of 490","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/490/Erdos490.lean","state":"axiomatic"},{"id":"proof:jayyhk:493","kind":"proof","label":"jayyhk proof of 493","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/493/Erdos493.lean","state":"complete"},{"id":"proof:jayyhk:497","kind":"proof","label":"jayyhk proof of 497","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/497/Erdos497.lean","state":"complete"},{"id":"proof:jayyhk:498","kind":"proof","label":"jayyhk proof of 498","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/498/Erdos498.lean","state":"complete"},{"id":"proof:jayyhk:499","kind":"proof","label":"jayyhk proof of 499","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/499/Erdos499.lean","state":"complete"},{"id":"proof:jayyhk:502","kind":"proof","label":"jayyhk proof of 502","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/502/Erdos502.lean","state":"complete"},{"id":"proof:jayyhk:505","kind":"proof","label":"jayyhk proof of 505","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/505/Erdos505.lean","state":"complete"},{"id":"proof:jayyhk:512","kind":"proof","label":"jayyhk proof of 512","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/512/Erdos512.lean","state":"complete"},{"id":"proof:jayyhk:519","kind":"proof","label":"jayyhk proof of 519","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/519/Erdos519.lean","state":"complete"},{"id":"proof:jayyhk:532","kind":"proof","label":"jayyhk proof of 532","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/532/Erdos532.lean","state":"complete"},{"id":"proof:jayyhk:537","kind":"proof","label":"jayyhk proof of 537","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/537/Erdos537.lean","state":"complete"},{"id":"proof:jayyhk:540","kind":"proof","label":"jayyhk proof of 540","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/540/Erdos540.lean","state":"complete"},{"id":"proof:jayyhk:541","kind":"proof","label":"jayyhk proof of 541","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/541/Erdos541.lean","state":"complete"},{"id":"proof:jayyhk:56","kind":"proof","label":"jayyhk proof of 56","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/56/Erdos56.lean","state":"complete"},{"id":"proof:jayyhk:582","kind":"proof","label":"jayyhk proof of 582","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/582/Erdos582.lean","state":"complete"},{"id":"proof:jayyhk:610","kind":"proof","label":"jayyhk proof of 610","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/610/Erdos610.lean","state":"axiomatic"},{"id":"proof:jayyhk:613","kind":"proof","label":"jayyhk proof of 613","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/613/Erdos613.lean","state":"complete"},{"id":"proof:jayyhk:618","kind":"proof","label":"jayyhk proof of 618","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/618/Erdos618.lean","state":"complete"},{"id":"proof:jayyhk:619","kind":"proof","label":"jayyhk proof of 619","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/619/Erdos619.lean","state":"complete"},{"id":"proof:jayyhk:621","kind":"proof","label":"jayyhk proof of 621","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/621/Erdos621.lean","state":"complete"},{"id":"proof:jayyhk:639","kind":"proof","label":"jayyhk proof of 639","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/639/Erdos639.lean","state":"complete"},{"id":"proof:jayyhk:645","kind":"proof","label":"jayyhk proof of 645","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/645/Erdos645.lean","state":"complete"},{"id":"proof:jayyhk:646","kind":"proof","label":"jayyhk proof of 646","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/646/Erdos646.lean","state":"complete"},{"id":"proof:jayyhk:648","kind":"proof","label":"jayyhk proof of 648","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/648/Erdos648.lean","state":"complete"},{"id":"proof:jayyhk:649","kind":"proof","label":"jayyhk proof of 649","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/649/Erdos649.lean","state":"complete"},{"id":"proof:jayyhk:650","kind":"proof","label":"jayyhk proof of 650","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/650/Erdos650.lean","state":"complete"},{"id":"proof:jayyhk:658","kind":"proof","label":"jayyhk proof of 658","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/658/Erdos658.lean","state":"axiomatic"},{"id":"proof:jayyhk:659","kind":"proof","label":"jayyhk proof of 659","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/659/Erdos659.lean","state":"axiomatic"},{"id":"proof:jayyhk:666","kind":"proof","label":"jayyhk proof of 666","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/666/Erdos666.lean","state":"complete"},{"id":"proof:jayyhk:674","kind":"proof","label":"jayyhk proof of 674","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/674/Erdos674.lean","state":"complete"},{"id":"proof:jayyhk:678","kind":"proof","label":"jayyhk proof of 678","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/678/Erdos678.lean","state":"complete"},{"id":"proof:jayyhk:692","kind":"proof","label":"jayyhk proof of 692","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/692/Erdos692.lean","state":"complete"},{"id":"proof:jayyhk:694","kind":"proof","label":"jayyhk proof of 694","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/694/Erdos694.lean","state":"axiomatic"},{"id":"proof:jayyhk:696","kind":"proof","label":"jayyhk proof of 696","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/696/Erdos696.lean","state":"axiomatic"},{"id":"proof:jayyhk:698","kind":"proof","label":"jayyhk proof of 698","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/698/Erdos698.lean","state":"complete"},{"id":"proof:jayyhk:707","kind":"proof","label":"jayyhk proof of 707","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/707/Erdos707.lean","state":"complete"},{"id":"proof:jayyhk:71","kind":"proof","label":"jayyhk proof of 71","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/71/Erdos71.lean","state":"complete"},{"id":"proof:jayyhk:716","kind":"proof","label":"jayyhk proof of 716","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/716/Erdos716.lean","state":"complete"},{"id":"proof:jayyhk:728","kind":"proof","label":"jayyhk proof of 728","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/728/Erdos728.lean","state":"complete"},{"id":"proof:jayyhk:729","kind":"proof","label":"jayyhk proof of 729","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/729/Erdos729.lean","state":"complete"},{"id":"proof:jayyhk:741","kind":"proof","label":"jayyhk proof of 741","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/741/Erdos741.lean","state":"complete"},{"id":"proof:jayyhk:751","kind":"proof","label":"jayyhk proof of 751","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/751/Erdos751.lean","state":"complete"},{"id":"proof:jayyhk:753","kind":"proof","label":"jayyhk proof of 753","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/753/Erdos753.lean","state":"complete"},{"id":"proof:jayyhk:756","kind":"proof","label":"jayyhk proof of 756","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/756/Erdos756.lean","state":"complete"},{"id":"proof:jayyhk:760","kind":"proof","label":"jayyhk proof of 760","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/760/Erdos760.lean","state":"complete"},{"id":"proof:jayyhk:762","kind":"proof","label":"jayyhk proof of 762","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/762/Erdos762.lean","state":"complete"},{"id":"proof:jayyhk:765","kind":"proof","label":"jayyhk proof of 765","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/765/Erdos765.lean","state":"complete"},{"id":"proof:jayyhk:775","kind":"proof","label":"jayyhk proof of 775","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/775/Erdos775.lean","state":"complete"},{"id":"proof:jayyhk:785","kind":"proof","label":"jayyhk proof of 785","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/785/Erdos785.lean","state":"complete"},{"id":"proof:jayyhk:794","kind":"proof","label":"jayyhk proof of 794","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/794/Erdos794.lean","state":"complete"},{"id":"proof:jayyhk:798","kind":"proof","label":"jayyhk proof of 798","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/798/Erdos798.lean","state":"complete"},{"id":"proof:jayyhk:818","kind":"proof","label":"jayyhk proof of 818","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/818/Erdos818.lean","state":"complete"},{"id":"proof:jayyhk:844","kind":"proof","label":"jayyhk proof of 844","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/844/Erdos844.lean","state":"complete"},{"id":"proof:jayyhk:845","kind":"proof","label":"jayyhk proof of 845","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/845/Erdos845.lean","state":"complete"},{"id":"proof:jayyhk:846","kind":"proof","label":"jayyhk proof of 846","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/846/Erdos846.lean","state":"complete"},{"id":"proof:jayyhk:862","kind":"proof","label":"jayyhk proof of 862","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/862/Erdos862.lean","state":"complete"},{"id":"proof:jayyhk:867","kind":"proof","label":"jayyhk proof of 867","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/867/Erdos867.lean","state":"complete"},{"id":"proof:jayyhk:871","kind":"proof","label":"jayyhk proof of 871","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/871/Erdos871.lean","state":"complete"},{"id":"proof:jayyhk:897","kind":"proof","label":"jayyhk proof of 897","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/897/Erdos897.lean","state":"complete"},{"id":"proof:jayyhk:898","kind":"proof","label":"jayyhk proof of 898","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/898/Erdos898.lean","state":"complete"},{"id":"proof:jayyhk:90","kind":"proof","label":"jayyhk proof of 90","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/90/Erdos90.lean","state":"axiomatic"},{"id":"proof:jayyhk:904","kind":"proof","label":"jayyhk proof of 904","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/904/Erdos904.lean","state":"complete"},{"id":"proof:jayyhk:905","kind":"proof","label":"jayyhk proof of 905","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/905/Erdos905.lean","state":"complete"},{"id":"proof:jayyhk:907","kind":"proof","label":"jayyhk proof of 907","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/907/Erdos907.lean","state":"complete"},{"id":"proof:jayyhk:914","kind":"proof","label":"jayyhk proof of 914","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/914/Erdos914.lean","state":"complete"},{"id":"proof:jayyhk:923","kind":"proof","label":"jayyhk proof of 923","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/923/Erdos923.lean","state":"complete"},{"id":"proof:jayyhk:927","kind":"proof","label":"jayyhk proof of 927","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/927/Erdos927.lean","state":"complete"},{"id":"proof:jayyhk:93","kind":"proof","label":"jayyhk proof of 93","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/93/Erdos93.lean","state":"complete"},{"id":"proof:jayyhk:94","kind":"proof","label":"jayyhk proof of 94","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/94/Erdos94.lean","state":"complete"},{"id":"proof:jayyhk:947","kind":"proof","label":"jayyhk proof of 947","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/947/Erdos947.lean","state":"complete"},{"id":"proof:jayyhk:958","kind":"proof","label":"jayyhk proof of 958","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/958/Erdos958.lean","state":"complete"},{"id":"proof:jayyhk:964","kind":"proof","label":"jayyhk proof of 964","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/964/Erdos964.lean","state":"axiomatic"},{"id":"proof:jayyhk:966","kind":"proof","label":"jayyhk proof of 966","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/966/Erdos966.lean","state":"complete"},{"id":"proof:jayyhk:967","kind":"proof","label":"jayyhk proof of 967","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/967/Erdos967.lean","state":"complete"},{"id":"proof:jayyhk:974","kind":"proof","label":"jayyhk proof of 974","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/974/Erdos974.lean","state":"complete"},{"id":"proof:jayyhk:990","kind":"proof","label":"jayyhk proof of 990","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/990/Erdos990.lean","state":"complete"},{"id":"proof:jayyhk:997","kind":"proof","label":"jayyhk proof of 997","url":"https://github.com/Jayyhk/erdos-lean/blob/main/problems/997/Erdos997.lean","state":"axiomatic"},{"id":"proof:plby:1000","kind":"proof","label":"plby proof of 1000","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1000.lean","state":"complete"},{"id":"proof:plby:1007","kind":"proof","label":"plby proof of 1007","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1007.lean","state":"complete"},{"id":"proof:plby:1008","kind":"proof","label":"plby proof of 1008","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1008.lean","state":"complete"},{"id":"proof:plby:1014","kind":"proof","label":"plby proof of 1014","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1014.lean","state":"complete"},{"id":"proof:plby:1022","kind":"proof","label":"plby proof of 1022","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1022.lean","state":"complete"},{"id":"proof:plby:1023","kind":"proof","label":"plby proof of 1023","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1023.lean","state":"complete"},{"id":"proof:plby:1026","kind":"proof","label":"plby proof of 1026","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1026.lean","state":"complete"},{"id":"proof:plby:1028","kind":"proof","label":"plby proof of 1028","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1028.lean","state":"complete"},{"id":"proof:plby:1034","kind":"proof","label":"plby proof of 1034","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1034.lean","state":"complete"},{"id":"proof:plby:1036","kind":"proof","label":"plby proof of 1036","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1036.lean","state":"complete"},{"id":"proof:plby:1037","kind":"proof","label":"plby proof of 1037","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1037.lean","state":"complete"},{"id":"proof:plby:1043","kind":"proof","label":"plby proof of 1043","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1043.lean","state":"complete"},{"id":"proof:plby:1044","kind":"proof","label":"plby proof of 1044","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1044.lean","state":"complete"},{"id":"proof:plby:1047","kind":"proof","label":"plby proof of 1047","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1047.lean","state":"complete"},{"id":"proof:plby:1048","kind":"proof","label":"plby proof of 1048","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1048.lean","state":"complete"},{"id":"proof:plby:105","kind":"proof","label":"plby proof of 105","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos105.lean","state":"complete"},{"id":"proof:plby:1051","kind":"proof","label":"plby proof of 1051","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1051.lean","state":"complete"},{"id":"proof:plby:1056","kind":"proof","label":"plby proof of 1056","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1056.lean","state":"partial"},{"id":"proof:plby:1067","kind":"proof","label":"plby proof of 1067","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1067.lean","state":"complete"},{"id":"proof:plby:1071","kind":"proof","label":"plby proof of 1071","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1071.lean","state":"complete"},{"id":"proof:plby:1080","kind":"proof","label":"plby proof of 1080","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1080.lean","state":"complete"},{"id":"proof:plby:1090","kind":"proof","label":"plby proof of 1090","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1090.lean","state":"complete"},{"id":"proof:plby:1095","kind":"proof","label":"plby proof of 1095","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1095.lean","state":"partial"},{"id":"proof:plby:1098","kind":"proof","label":"plby proof of 1098","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1098.lean","state":"complete"},{"id":"proof:plby:1100","kind":"proof","label":"plby proof of 1100","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1100.lean","state":"partial"},{"id":"proof:plby:1102","kind":"proof","label":"plby proof of 1102","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1102.lean","state":"complete"},{"id":"proof:plby:1121","kind":"proof","label":"plby proof of 1121","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1121.lean","state":"complete"},{"id":"proof:plby:1125","kind":"proof","label":"plby proof of 1125","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1125.lean","state":"complete"},{"id":"proof:plby:1126","kind":"proof","label":"plby proof of 1126","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1126.lean","state":"complete"},{"id":"proof:plby:1136","kind":"proof","label":"plby proof of 1136","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1136.lean","state":"complete"},{"id":"proof:plby:1138","kind":"proof","label":"plby proof of 1138","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1138.lean","state":"partial"},{"id":"proof:plby:1141","kind":"proof","label":"plby proof of 1141","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1141.lean","state":"conditional"},{"id":"proof:plby:1148","kind":"proof","label":"plby proof of 1148","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1148.lean","state":"conditional"},{"id":"proof:plby:115","kind":"proof","label":"plby proof of 115","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos115.lean","state":"complete"},{"id":"proof:plby:1187","kind":"proof","label":"plby proof of 1187","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1187.lean","state":"partial"},{"id":"proof:plby:1190","kind":"proof","label":"plby proof of 1190","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1190.lean","state":"complete"},{"id":"proof:plby:1193","kind":"proof","label":"plby proof of 1193","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1193.lean","state":"complete"},{"id":"proof:plby:1196","kind":"proof","label":"plby proof of 1196","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1196.lean","state":"complete"},{"id":"proof:plby:1197","kind":"proof","label":"plby proof of 1197","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos1197.lean","state":"conditional"},{"id":"proof:plby:124","kind":"proof","label":"plby proof of 124","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos124.lean","state":"partial"},{"id":"proof:plby:125","kind":"proof","label":"plby proof of 125","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos125.lean","state":"complete"},{"id":"proof:plby:134","kind":"proof","label":"plby proof of 134","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos134.lean","state":"complete"},{"id":"proof:plby:150","kind":"proof","label":"plby proof of 150","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos150.lean","state":"complete"},{"id":"proof:plby:154","kind":"proof","label":"plby proof of 154","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos154.lean","state":"complete"},{"id":"proof:plby:16","kind":"proof","label":"plby proof of 16","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos16.lean","state":"complete"},{"id":"proof:plby:164","kind":"proof","label":"plby proof of 164","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos164.lean","state":"complete"},{"id":"proof:plby:178","kind":"proof","label":"plby proof of 178","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos178.lean","state":"complete"},{"id":"proof:plby:189","kind":"proof","label":"plby proof of 189","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos189.lean","state":"complete"},{"id":"proof:plby:194","kind":"proof","label":"plby proof of 194","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos194.lean","state":"complete"},{"id":"proof:plby:198","kind":"proof","label":"plby proof of 198","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos198.lean","state":"complete"},{"id":"proof:plby:199","kind":"proof","label":"plby proof of 199","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos199.lean","state":"complete"},{"id":"proof:plby:202","kind":"proof","label":"plby proof of 202","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos202.lean","state":"complete"},{"id":"proof:plby:204","kind":"proof","label":"plby proof of 204","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos204.lean","state":"complete"},{"id":"proof:plby:205","kind":"proof","label":"plby proof of 205","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos205.lean","state":"complete"},{"id":"proof:plby:206","kind":"proof","label":"plby proof of 206","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos206.lean","state":"complete"},{"id":"proof:plby:214","kind":"proof","label":"plby proof of 214","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos214.lean","state":"complete"},{"id":"proof:plby:221","kind":"proof","label":"plby proof of 221","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos221.lean","state":"complete"},{"id":"proof:plby:224","kind":"proof","label":"plby proof of 224","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos224.lean","state":"complete"},{"id":"proof:plby:226","kind":"proof","label":"plby proof of 226","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos226.lean","state":"complete"},{"id":"proof:plby:229","kind":"proof","label":"plby proof of 229","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos229.lean","state":"complete"},{"id":"proof:plby:237","kind":"proof","label":"plby proof of 237","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos237.lean","state":"conditional"},{"id":"proof:plby:24","kind":"proof","label":"plby proof of 24","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos24.lean","state":"complete"},{"id":"proof:plby:246","kind":"proof","label":"plby proof of 246","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos246.lean","state":"complete"},{"id":"proof:plby:258","kind":"proof","label":"plby proof of 258","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos258.lean","state":"conditional"},{"id":"proof:plby:259","kind":"proof","label":"plby proof of 259","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos259.lean","state":"complete"},{"id":"proof:plby:26","kind":"proof","label":"plby proof of 26","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos26.lean","state":"complete"},{"id":"proof:plby:264","kind":"proof","label":"plby proof of 264","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos264.lean","state":"partial"},{"id":"proof:plby:268","kind":"proof","label":"plby proof of 268","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos268.lean","state":"complete"},{"id":"proof:plby:275","kind":"proof","label":"plby proof of 275","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos275.lean","state":"complete"},{"id":"proof:plby:280","kind":"proof","label":"plby proof of 280","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos280.lean","state":"complete"},{"id":"proof:plby:281","kind":"proof","label":"plby proof of 281","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos281.lean","state":"complete"},{"id":"proof:plby:283","kind":"proof","label":"plby proof of 283","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos283.lean","state":"partial"},{"id":"proof:plby:290","kind":"proof","label":"plby proof of 290","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos290.lean","state":"complete"},{"id":"proof:plby:291","kind":"proof","label":"plby proof of 291","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos291.lean","state":"partial"},{"id":"proof:plby:296","kind":"proof","label":"plby proof of 296","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos296.lean","state":"complete"},{"id":"proof:plby:298","kind":"proof","label":"plby proof of 298","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos298.lean","state":"complete"},{"id":"proof:plby:299","kind":"proof","label":"plby proof of 299","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos299.lean","state":"complete"},{"id":"proof:plby:303","kind":"proof","label":"plby proof of 303","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos303.lean","state":"complete"},{"id":"proof:plby:31","kind":"proof","label":"plby proof of 31","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos31.lean","state":"complete"},{"id":"proof:plby:314","kind":"proof","label":"plby proof of 314","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos314.lean","state":"complete"},{"id":"proof:plby:315","kind":"proof","label":"plby proof of 315","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos315.lean","state":"complete"},{"id":"proof:plby:316","kind":"proof","label":"plby proof of 316","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos316.lean","state":"complete"},{"id":"proof:plby:331","kind":"proof","label":"plby proof of 331","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos331.lean","state":"complete"},{"id":"proof:plby:333","kind":"proof","label":"plby proof of 333","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos333.lean","state":"complete"},{"id":"proof:plby:337","kind":"proof","label":"plby proof of 337","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos337.lean","state":"complete"},{"id":"proof:plby:34","kind":"proof","label":"plby proof of 34","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos34.lean","state":"complete"},{"id":"proof:plby:347","kind":"proof","label":"plby proof of 347","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos347.lean","state":"complete"},{"id":"proof:plby:350","kind":"proof","label":"plby proof of 350","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos350.lean","state":"complete"},{"id":"proof:plby:351","kind":"proof","label":"plby proof of 351","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos351.lean","state":"complete"},{"id":"proof:plby:355","kind":"proof","label":"plby proof of 355","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos355.lean","state":"complete"},{"id":"proof:plby:363","kind":"proof","label":"plby proof of 363","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos363.lean","state":"complete"},{"id":"proof:plby:367","kind":"proof","label":"plby proof of 367","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos367.lean","state":"partial"},{"id":"proof:plby:368","kind":"proof","label":"plby proof of 368","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos368.lean","state":"partial"},{"id":"proof:plby:369","kind":"proof","label":"plby proof of 369","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos369.lean","state":"complete"},{"id":"proof:plby:370","kind":"proof","label":"plby proof of 370","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos370.lean","state":"complete"},{"id":"proof:plby:379","kind":"proof","label":"plby proof of 379","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos379.lean","state":"complete"},{"id":"proof:plby:38","kind":"proof","label":"plby proof of 38","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos38.lean","state":"complete"},{"id":"proof:plby:392","kind":"proof","label":"plby proof of 392","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos392.lean","state":"complete"},{"id":"proof:plby:397","kind":"proof","label":"plby proof of 397","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos397.lean","state":"complete"},{"id":"proof:plby:399","kind":"proof","label":"plby proof of 399","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos399.lean","state":"complete"},{"id":"proof:plby:401","kind":"proof","label":"plby proof of 401","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos401.lean","state":"complete"},{"id":"proof:plby:418","kind":"proof","label":"plby proof of 418","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos418.lean","state":"conditional"},{"id":"proof:plby:419","kind":"proof","label":"plby proof of 419","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos419.lean","state":"complete"},{"id":"proof:plby:42","kind":"proof","label":"plby proof of 42","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos42.lean","state":"complete"},{"id":"proof:plby:426","kind":"proof","label":"plby proof of 426","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos426.lean","state":"complete"},{"id":"proof:plby:427","kind":"proof","label":"plby proof of 427","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos427.lean","state":"conditional"},{"id":"proof:plby:429","kind":"proof","label":"plby proof of 429","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos429.lean","state":"complete"},{"id":"proof:plby:433","kind":"proof","label":"plby proof of 433","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos433.lean","state":"conditional"},{"id":"proof:plby:434","kind":"proof","label":"plby proof of 434","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos434.lean","state":"conditional"},{"id":"proof:plby:435","kind":"proof","label":"plby proof of 435","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos435.lean","state":"complete"},{"id":"proof:plby:443","kind":"proof","label":"plby proof of 443","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos443.lean","state":"complete"},{"id":"proof:plby:447","kind":"proof","label":"plby proof of 447","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos447.lean","state":"complete"},{"id":"proof:plby:45","kind":"proof","label":"plby proof of 45","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos45.lean","state":"complete"},{"id":"proof:plby:453","kind":"proof","label":"plby proof of 453","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos453.lean","state":"complete"},{"id":"proof:plby:457","kind":"proof","label":"plby proof of 457","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos457.lean","state":"complete"},{"id":"proof:plby:459","kind":"proof","label":"plby proof of 459","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos459.lean","state":"complete"},{"id":"proof:plby:46","kind":"proof","label":"plby proof of 46","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos46.lean","state":"complete"},{"id":"proof:plby:47","kind":"proof","label":"plby proof of 47","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos47.lean","state":"complete"},{"id":"proof:plby:476","kind":"proof","label":"plby proof of 476","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos476.lean","state":"complete"},{"id":"proof:plby:481","kind":"proof","label":"plby proof of 481","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos481.lean","state":"complete"},{"id":"proof:plby:484","kind":"proof","label":"plby proof of 484","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos484.lean","state":"complete"},{"id":"proof:plby:485","kind":"proof","label":"plby proof of 485","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos485.lean","state":"partial"},{"id":"proof:plby:487","kind":"proof","label":"plby proof of 487","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos487.lean","state":"complete"},{"id":"proof:plby:490","kind":"proof","label":"plby proof of 490","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos490.lean","state":"conditional"},{"id":"proof:plby:493","kind":"proof","label":"plby proof of 493","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos493.lean","state":"complete"},{"id":"proof:plby:497","kind":"proof","label":"plby proof of 497","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos497.lean","state":"complete"},{"id":"proof:plby:498","kind":"proof","label":"plby proof of 498","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos498.lean","state":"complete"},{"id":"proof:plby:499","kind":"proof","label":"plby proof of 499","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos499.lean","state":"complete"},{"id":"proof:plby:502","kind":"proof","label":"plby proof of 502","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos502.lean","state":"complete"},{"id":"proof:plby:505","kind":"proof","label":"plby proof of 505","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos505.lean","state":"complete"},{"id":"proof:plby:519","kind":"proof","label":"plby proof of 519","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos519.lean","state":"complete"},{"id":"proof:plby:532","kind":"proof","label":"plby proof of 532","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos532.lean","state":"complete"},{"id":"proof:plby:537","kind":"proof","label":"plby proof of 537","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos537.lean","state":"complete"},{"id":"proof:plby:540","kind":"proof","label":"plby proof of 540","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos540.lean","state":"complete"},{"id":"proof:plby:541","kind":"proof","label":"plby proof of 541","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos541.lean","state":"complete"},{"id":"proof:plby:56","kind":"proof","label":"plby proof of 56","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos56.lean","state":"complete"},{"id":"proof:plby:582","kind":"proof","label":"plby proof of 582","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos582.lean","state":"complete"},{"id":"proof:plby:613","kind":"proof","label":"plby proof of 613","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos613.lean","state":"complete"},{"id":"proof:plby:618","kind":"proof","label":"plby proof of 618","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos618.lean","state":"complete"},{"id":"proof:plby:621","kind":"proof","label":"plby proof of 621","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos621.lean","state":"complete"},{"id":"proof:plby:639","kind":"proof","label":"plby proof of 639","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos639.lean","state":"complete"},{"id":"proof:plby:645","kind":"proof","label":"plby proof of 645","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos645.lean","state":"complete"},{"id":"proof:plby:646","kind":"proof","label":"plby proof of 646","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos646.lean","state":"complete"},{"id":"proof:plby:648","kind":"proof","label":"plby proof of 648","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos648.lean","state":"complete"},{"id":"proof:plby:649","kind":"proof","label":"plby proof of 649","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos649.lean","state":"complete"},{"id":"proof:plby:650","kind":"proof","label":"plby proof of 650","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos650.lean","state":"complete"},{"id":"proof:plby:658","kind":"proof","label":"plby proof of 658","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos658.lean","state":"conditional"},{"id":"proof:plby:659","kind":"proof","label":"plby proof of 659","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos659.lean","state":"conditional"},{"id":"proof:plby:666","kind":"proof","label":"plby proof of 666","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos666.lean","state":"complete"},{"id":"proof:plby:674","kind":"proof","label":"plby proof of 674","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos674.lean","state":"complete"},{"id":"proof:plby:678","kind":"proof","label":"plby proof of 678","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos678.lean","state":"complete"},{"id":"proof:plby:692","kind":"proof","label":"plby proof of 692","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos692.lean","state":"complete"},{"id":"proof:plby:694","kind":"proof","label":"plby proof of 694","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos694.lean","state":"conditional"},{"id":"proof:plby:698","kind":"proof","label":"plby proof of 698","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos698.lean","state":"complete"},{"id":"proof:plby:707","kind":"proof","label":"plby proof of 707","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos707.lean","state":"complete"},{"id":"proof:plby:728","kind":"proof","label":"plby proof of 728","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos728.lean","state":"complete"},{"id":"proof:plby:729","kind":"proof","label":"plby proof of 729","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos729.lean","state":"complete"},{"id":"proof:plby:741","kind":"proof","label":"plby proof of 741","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos741.lean","state":"complete"},{"id":"proof:plby:751","kind":"proof","label":"plby proof of 751","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos751.lean","state":"complete"},{"id":"proof:plby:753","kind":"proof","label":"plby proof of 753","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos753.lean","state":"complete"},{"id":"proof:plby:756","kind":"proof","label":"plby proof of 756","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos756.lean","state":"complete"},{"id":"proof:plby:760","kind":"proof","label":"plby proof of 760","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos760.lean","state":"complete"},{"id":"proof:plby:762","kind":"proof","label":"plby proof of 762","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos762.lean","state":"complete"},{"id":"proof:plby:775","kind":"proof","label":"plby proof of 775","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos775.lean","state":"complete"},{"id":"proof:plby:785","kind":"proof","label":"plby proof of 785","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos785.lean","state":"complete"},{"id":"proof:plby:794","kind":"proof","label":"plby proof of 794","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos794.lean","state":"complete"},{"id":"proof:plby:798","kind":"proof","label":"plby proof of 798","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos798.lean","state":"complete"},{"id":"proof:plby:818","kind":"proof","label":"plby proof of 818","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos818.lean","state":"complete"},{"id":"proof:plby:844","kind":"proof","label":"plby proof of 844","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos844.lean","state":"complete"},{"id":"proof:plby:845","kind":"proof","label":"plby proof of 845","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos845.lean","state":"complete"},{"id":"proof:plby:846","kind":"proof","label":"plby proof of 846","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos846.lean","state":"complete"},{"id":"proof:plby:862","kind":"proof","label":"plby proof of 862","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos862.lean","state":"complete"},{"id":"proof:plby:866","kind":"proof","label":"plby proof of 866","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos866.lean","state":"partial"},{"id":"proof:plby:867","kind":"proof","label":"plby proof of 867","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos867.lean","state":"complete"},{"id":"proof:plby:871","kind":"proof","label":"plby proof of 871","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos871.lean","state":"complete"},{"id":"proof:plby:897","kind":"proof","label":"plby proof of 897","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos897.lean","state":"complete"},{"id":"proof:plby:898","kind":"proof","label":"plby proof of 898","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos898.lean","state":"complete"},{"id":"proof:plby:904","kind":"proof","label":"plby proof of 904","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos904.lean","state":"complete"},{"id":"proof:plby:905","kind":"proof","label":"plby proof of 905","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos905.lean","state":"complete"},{"id":"proof:plby:907","kind":"proof","label":"plby proof of 907","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos907.lean","state":"complete"},{"id":"proof:plby:914","kind":"proof","label":"plby proof of 914","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos914.lean","state":"complete"},{"id":"proof:plby:923","kind":"proof","label":"plby proof of 923","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos923.lean","state":"complete"},{"id":"proof:plby:93","kind":"proof","label":"plby proof of 93","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos93.lean","state":"complete"},{"id":"proof:plby:94","kind":"proof","label":"plby proof of 94","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos94.lean","state":"complete"},{"id":"proof:plby:947","kind":"proof","label":"plby proof of 947","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos947.lean","state":"complete"},{"id":"proof:plby:958","kind":"proof","label":"plby proof of 958","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos958.lean","state":"complete"},{"id":"proof:plby:964","kind":"proof","label":"plby proof of 964","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos964.lean","state":"conditional"},{"id":"proof:plby:966","kind":"proof","label":"plby proof of 966","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos966.lean","state":"complete"},{"id":"proof:plby:967","kind":"proof","label":"plby proof of 967","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos967.lean","state":"complete"},{"id":"proof:plby:974","kind":"proof","label":"plby proof of 974","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos974.lean","state":"complete"},{"id":"proof:plby:990","kind":"proof","label":"plby proof of 990","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos990.lean","state":"complete"},{"id":"proof:plby:997","kind":"proof","label":"plby proof of 997","url":"https://github.com/plby/lean-proofs/blob/main/src/v4.29.1/ErdosProblems/Erdos997.lean","state":"conditional"},{"id":"proof:vlp:154","kind":"proof","label":"vlp proof of 154","url":"https://github.com/williamjblair/lean-proofs/blob/main/ErdosProblems/Erdos154Sumset.lean","state":"axioms_clean"},{"id":"vsa:vsa_00afe5b9d83c8343","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 246","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_082702df03318584","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 904","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_091ed4c5a5fc0f93","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 31","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_0b7b4a8b0ca914df","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 1090","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_0d768df62282d1e4","kind":"attestation","label":"signed variant \u2014 Erd\u0151s 1148","reviewer":"reviewer:will-blair","verdict":"variant"},{"id":"vsa:vsa_0f00f2812df9b286","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 443","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_17209c4a7cd4c6bb","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 519","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_18cdc4c446722c7e","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 258","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_1f3d381599abb1ff","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 333","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_286db47f558bdec1","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 369","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_2c8c6095d54a8a8c","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 419","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_35eed8100f7ca57d","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 582","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_404bef9d29f19e2e","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 484","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_40c141d610daf5d4","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 314","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_43b5f86a95b3524c","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 497","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_47d3516f45c47857","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 618","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_4ba09f447ec5fa95","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 363","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_4de2d8094b05e020","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 134","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_560014a2ef689aed","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 164","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_56973ed9feca81cc","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 429","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_590ee5f723b17f6d","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 476","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_5b64b43cdceb5588","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 164","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_5d51352f74dfddf4","kind":"attestation","label":"signed variant \u2014 Erd\u0151s 205","reviewer":"reviewer:will-blair","verdict":"variant"},{"id":"vsa:vsa_705d7d58a8fe1816","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 93","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_726918b611c7d404","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 532","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_7510e45af9ee47fd","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 314","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_752b7506d96b3946","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 493","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_77fbf4f62b2f2649","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 453","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_784dda4f682d91d8","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 47","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_7c835a596e46b58b","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 24","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_879bd2c826515cbf","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 333","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_87db7f5ade55e46a","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 487","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_882ad62c622ae184","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 281","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_8dcfcccd429a5c4d","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 226","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_91a62854af084f2c","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 296","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_966c3cd4ec3a61ca","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 502","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_9691f0035704c649","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 401","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_96f98b83ba41c2e7","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 315","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_98ac2c292687a859","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 537","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_9a20c702e3158d78","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 34","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_9a3fd8ddbf76c338","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 280","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_9a4e4bd6708172ce","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 540","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_9ce6beabb331c7f5","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 93","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_a6912bf56bbf19ab","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 923","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_a6dd8ad77d869095","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 315","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_a74b65b56a3ee00b","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 178","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_b73d257fa8b7863b","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 1125","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_c1ba4a06c0a0bfce","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 369","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_c974adb93cc0448c","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 429","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_cce05f44f38a76ed","kind":"attestation","label":"signed unfaithful \u2014 Erd\u0151s 214","reviewer":"reviewer:will-blair","verdict":"unfaithful"},{"id":"vsa:vsa_cd27bd188fc79ade","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 646","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_d26afe685e264d30","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 435","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_d3436796ad05c066","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 729","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_d7e06cdc5e6670f9","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 1126","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_db083f4319ac62f7","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 435","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_e53c1d2cc6653a0e","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 871","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_e7d5e9e9e1ec62cf","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 24","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_f1a9b0465b04ca43","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 498","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_f1b30d1f99e3e928","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 224","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_fd540ecebd0e4429","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 401","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_ff5b1982fd123784","kind":"attestation","label":"signed faithful \u2014 Erd\u0151s 199","reviewer":"reviewer:will-blair","verdict":"faithful"},{"id":"vsa:vsa_ffc0e460741d5d1b","kind":"attestation","label":"signed unfaithful \u2014 Erd\u0151s 337","reviewer":"reviewer:will-blair","verdict":"unfaithful"},{"id":"wiki:1000","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:1004","kind":"claim","label":"wiki: Partial result (implicit in literature)","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1007","kind":"claim","label":"wiki: New proof found (Lean)","ai_systems":["Aristotle"]},{"id":"wiki:1008","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1014","kind":"claim","label":"wiki: Full solution","ai_systems":["OpenAI internal model"]},{"id":"wiki:1022","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1023","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1026","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["AlphaEvolve","Aristotle","GPT","Gemini"]},{"id":"wiki:1028","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1032","kind":"claim","label":"wiki: Improved partial result (Lean)","ai_systems":["Codex","GPT-5.5 Pro"]},{"id":"wiki:1033","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1034","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1036","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1037","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1038","kind":"claim","label":"wiki: Partial result","ai_systems":["AlphaEvolve","Claude Fable 5","Codex","GPT-5.2 Thinking","GPT-5.4 Thinking","GPT-5.5"]},{"id":"wiki:1039","kind":"claim","label":"wiki: Partial result","ai_systems":["Aristotle","Claude Opus 4.6","Codex","GPT-5.5","GPT-5.5 Pro"]},{"id":"wiki:1040","kind":"claim","label":"wiki: Solution to one part of problem;  incorrect solution to other part","ai_systems":["Aletheia"]},{"id":"wiki:1043","kind":"claim","label":"wiki: New proof found (Lean)","ai_systems":["Aristotle","GPT"]},{"id":"wiki:1044","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT-5.2 Pro"]},{"id":"wiki:1047","kind":"claim","label":"wiki: New proof found (Lean)","ai_systems":["Aristotle"]},{"id":"wiki:1048","kind":"claim","label":"wiki: Proof found (Lean), which is a specific case of Pommerenke","ai_systems":["Aristotle"]},{"id":"wiki:105","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT Pro"]},{"id":"wiki:1051","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aletheia"]},{"id":"wiki:1054","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Claude Opus 4.8","GPT-5.5 Pro","Principia Math"]},{"id":"wiki:106","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1061","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT"]},{"id":"wiki:1062","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:1067","kind":"claim","label":"wiki: Formalization","ai_systems":["Aleph Prover","Aristotle"]},{"id":"wiki:1070","kind":"claim","label":"wiki: Partial result","ai_systems":["Codex","GPT-5.5"]},{"id":"wiki:1071","kind":"claim","label":"wiki: Formalization","ai_systems":["Aleph Prover","Aristotle","GPT"]},{"id":"wiki:1080","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1082","kind":"claim","label":"wiki: Counterexample to one part (Lean)","ai_systems":["DeepMind prover agent"]},{"id":"wiki:1089","kind":"claim","label":"wiki: Full solution found","ai_systems":["Aletheia"]},{"id":"wiki:1090","kind":"claim","label":"wiki: Proof found (Lean)","ai_systems":["Aristotle","Gemini 3 Flash"]},{"id":"wiki:1091","kind":"claim","label":"wiki: Full solution","ai_systems":["OpenAI internal model"]},{"id":"wiki:1092","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1095","kind":"claim","label":"wiki: New proof of (slightly weaker) partial result (Lean)","ai_systems":["Aristotle","Claude Opus 4.6","GPT-5.4 Pro","Gemini 3.1 Pro"]},{"id":"wiki:1097","kind":"claim","label":"wiki: Slight improvement to past construction","ai_systems":["AlphaEvolve"]},{"id":"wiki:1098","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1101","kind":"claim","label":"wiki: Candidate partial result (solution to second part)","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1102","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1121","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1125","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1126","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1131","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1132","kind":"claim","label":"wiki: Partial result","ai_systems":["AlphaEvolve","Claude","GPT-5.4 Pro","Gemini Pro"]},{"id":"wiki:1133","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1134","kind":"claim","label":"wiki: Formalization","ai_systems":["AxiomProver"]},{"id":"wiki:1136","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1138","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","GPT-5.5 Pro","GPT-5.5 Thinking"]},{"id":"wiki:1139","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.2 Pro","GPT-5.5 Pro"]},{"id":"wiki:1141","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.2 Pro","GPT-5.2 Thinking","GPT-5.4 Pro","OpenAI internal model"]},{"id":"wiki:1143","kind":"claim","label":"wiki: Partial result (implicit in literature)","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1148","kind":"claim","label":"wiki: Full solution","ai_systems":["Claude Opus 4.6","GPT-5.2 Pro","GPT-5.2 Thinking","GPT-5.4","GPT-5.4 Pro","GPT-5.5 Pro","Gemini 3 Pro","Gemini 3.1","Gemini 3.1 Pro","UlamAI Prover"]},{"id":"wiki:115","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude Opus 4.6","Claude Sonnet 4.6","Gemini 3 Flash","Gemini 3.1 Pro","ulam.ai scaffold with Gemini 3 Flash and Gemini 3.1 Pro"]},{"id":"wiki:1151","kind":"claim","label":"wiki: Full solution","ai_systems":["Codex","GPT","GPT-5.5 Pro"]},{"id":"wiki:1153","kind":"claim","label":"wiki: Full solution","ai_systems":["AlphaEvolve","Claude","GPT-5.2 Thinking","GPT-5.4 Pro","Gemini Pro"]},{"id":"wiki:1177","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT"]},{"id":"wiki:1183","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:1187","kind":"claim","label":"wiki: Formalization","ai_systems":["Codex","GPT-5.5"]},{"id":"wiki:1190","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro","GPT-5.5 Pro","Unspecified"]},{"id":"wiki:1193","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:1194","kind":"claim","label":"wiki: Partial result","ai_systems":["Codex","GPT-5.4 Pro","GPT-5.5 Pro"]},{"id":"wiki:1195","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:1196","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro","GPT-5.4 Thinking","Gauss"]},{"id":"wiki:1197","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","Claude Opus 4.7","GPT-5.4 Pro"]},{"id":"wiki:12","kind":"claim","label":"wiki: Partial result (Lean) (solutions to first part and second part)","ai_systems":["DeepMind prover agent","GPT-5.4 Thinking"]},{"id":"wiki:120","kind":"claim","label":"wiki: Solution to variant problem (Lean)","ai_systems":["DeepMind prover agent"]},{"id":"wiki:1201","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1202","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:1208","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:1209","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:1217","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:124","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Aristotle"]},{"id":"wiki:125","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["DeepMind prover agent"]},{"id":"wiki:134","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:138","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["DeepMind prover agent","GPT-5.4 Thinking"]},{"id":"wiki:150","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:152","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["DeepMind prover agent"]},{"id":"wiki:154","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:16","kind":"claim","label":"wiki: Formalization","ai_systems":["Antigravity","Gemini 3.1 Pro"]},{"id":"wiki:164","kind":"claim","label":"wiki: Formalization","ai_systems":["Codex"]},{"id":"wiki:165","kind":"claim","label":"wiki: Formalization","ai_systems":["Trellis"]},{"id":"wiki:176","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Codex","GPT-5.5 Pro"]},{"id":"wiki:178","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:189","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Gemini 3 Pro"]},{"id":"wiki:192","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:194","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:198","kind":"claim","label":"wiki: New proof found","ai_systems":["AlphaProof","Aristotle","GPT"]},{"id":"wiki:199","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:202","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro","GPT-5.5 Pro","Unspecified"]},{"id":"wiki:204","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:205","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","GPT-5.2 Thinking"]},{"id":"wiki:206","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:209","kind":"claim","label":"wiki: Formalization","ai_systems":["AxiomProver"]},{"id":"wiki:21","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Aristotle","GPT-5.5 Pro"]},{"id":"wiki:214","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:218","kind":"claim","label":"wiki: Conditional solution","ai_systems":["GPT"]},{"id":"wiki:221","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:224","kind":"claim","label":"wiki: New proof found (Lean)","ai_systems":["Codex","GPT-5.2 Thinking"]},{"id":"wiki:226","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:229","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:231","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:237","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:24","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:246","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:25","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:251","kind":"claim","label":"wiki: Solution to variant problem","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:258","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","GPT-5.4 Pro"]},{"id":"wiki:259","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:26","kind":"claim","label":"wiki: Solution to stronger problem","ai_systems":["Aristotle","DeepMind prover agent"]},{"id":"wiki:263","kind":"claim","label":"wiki: Partial result (Lean) (solution to second part)","ai_systems":["Aristotle","Claude Opus 4.7","GPT-5.5 Pro"]},{"id":"wiki:264","kind":"claim","label":"wiki: New proof of partial result (Lean)","ai_systems":["Aristotle"]},{"id":"wiki:268","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:275","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:280","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:281","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","GPT-5.2 Pro","Gemini 3 Flash"]},{"id":"wiki:283","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","Claude Opus 4.7","GPT-5.5 Pro"]},{"id":"wiki:288","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5 Thinking"]},{"id":"wiki:290","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:296","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:303","kind":"claim","label":"wiki: Formalization","ai_systems":["Seed Prover"]},{"id":"wiki:306","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Claude","Claude Code","Unspecified"]},{"id":"wiki:31","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:314","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:315","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:326","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","Codex","GPT-5.5"]},{"id":"wiki:327","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5","Rethlas"]},{"id":"wiki:328","kind":"claim","label":"wiki: Formalization","ai_systems":["AxiomProver"]},{"id":"wiki:330","kind":"claim","label":"wiki: Full solution","ai_systems":["Codex","GPT-5.5 Pro"]},{"id":"wiki:331","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:333","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Claude Opus 4.5","GPT-5.2 Pro"]},{"id":"wiki:337","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:34","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:342","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.2 Pro","GPT-5.4 Pro"]},{"id":"wiki:345","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Aristotle","GPT"]},{"id":"wiki:346","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Codex","GPT","GPT-5.5 Pro"]},{"id":"wiki:347","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","Claude Opus","Codex","GPT"]},{"id":"wiki:349","kind":"claim","label":"wiki: Improved partial result","ai_systems":["GPT-5.2 Thinking"]},{"id":"wiki:350","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:351","kind":"claim","label":"wiki: Full solution","ai_systems":["Claude Opus 4.7","GPT-5.5 Pro"]},{"id":"wiki:352","kind":"claim","label":"wiki: Partial result of variant problem","ai_systems":["GPT-5.4 Pro","GPT-5.5 Pro"]},{"id":"wiki:353","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:355","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Gemini 3"]},{"id":"wiki:36","kind":"claim","label":"wiki: Slight improvement to past construction","ai_systems":["AlphaEvolve","GPT-5.5 Pro"]},{"id":"wiki:363","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:366","kind":"claim","label":"wiki: Conditional partial result","ai_systems":["Automated research pipeline"]},{"id":"wiki:367","kind":"claim","label":"wiki: Partial result","ai_systems":["Aristotle","Gemini Deep Think"]},{"id":"wiki:368","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:369","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","GPT"]},{"id":"wiki:370","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:374","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:379","kind":"claim","label":"wiki: New proof found","ai_systems":["Seed Prover 1.5"]},{"id":"wiki:38","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","GPT-5.5 Pro"]},{"id":"wiki:380","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:390","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:392","kind":"claim","label":"wiki: Formalization","ai_systems":["Various"]},{"id":"wiki:393","kind":"claim","label":"wiki: Conditional partial result","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:396","kind":"claim","label":"wiki: Partial result","ai_systems":["Claude","Codex","GPT","GPT-5.4 Pro","GPT-5.4 Thinking"]},{"id":"wiki:397","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aletheia","Aristotle","GPT-5.2 Pro"]},{"id":"wiki:399","kind":"claim","label":"wiki: Formalization","ai_systems":["Codex"]},{"id":"wiki:400","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT"]},{"id":"wiki:401","kind":"claim","label":"wiki: Full solution (Lean); solution to variant problem","ai_systems":["Aristotle","GPT-5.2 Pro"]},{"id":"wiki:403","kind":"claim","label":"wiki: Formalization","ai_systems":["AxiomProver"]},{"id":"wiki:415","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:418","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:419","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:42","kind":"claim","label":"wiki: Full solution","ai_systems":["Codex","GPT-5.2","GPT-5.2 Pro","GPT-5.5 Pro"]},{"id":"wiki:423","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.2 Thinking","GPT-5.4 Thinking"]},{"id":"wiki:425","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:426","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:427","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:429","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:43","kind":"claim","label":"wiki: New proof of partial result (Lean)","ai_systems":["Aristotle","Claude"]},{"id":"wiki:432","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:433","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude Opus 4.8","Claude Sonnet 4.6","Gemini 3 Flash","Gemini 3.1 Pro","Project Numina"]},{"id":"wiki:434","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude Opus 4.8"]},{"id":"wiki:435","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:441","kind":"claim","label":"wiki: Formalization","ai_systems":["AxiomProver"]},{"id":"wiki:443","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:447","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:451","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Aristotle","GPT-5.5 Pro"]},{"id":"wiki:453","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:456","kind":"claim","label":"wiki: Candidate partial result (solutions to first part and second part; conditional solution to third part)","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:457","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","GPT-5.2 Pro"]},{"id":"wiki:459","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:460","kind":"claim","label":"wiki: Reduction to a simpler problem","ai_systems":["GPT-5.2"]},{"id":"wiki:464","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:476","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:477","kind":"claim","label":"wiki: Solution to variant problem (Lean)","ai_systems":["AlphaProof"]},{"id":"wiki:480","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:481","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude"]},{"id":"wiki:484","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:487","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:488","kind":"claim","label":"wiki: New solution to variant problem (Lean)","ai_systems":["Aristotle","GPT-5.4"]},{"id":"wiki:490","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT-5.5 Pro"]},{"id":"wiki:493","kind":"claim","label":"wiki: New or existing proof found (Lean)","ai_systems":["Aristotle","GPT","Seed Prover"]},{"id":"wiki:497","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:498","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude Opus","Gemini Flash","Gemini Pro"]},{"id":"wiki:499","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:501","kind":"claim","label":"wiki: Candidate conditional partial result (conditional solution to first part)","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:502","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:503","kind":"claim","label":"wiki: Partial result","ai_systems":["Aristotle","GPT-5.4 Pro","GPT-5.5 Pro"]},{"id":"wiki:505","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:507","kind":"claim","label":"wiki: Surpassed some past constructions","ai_systems":["AlphaEvolve"]},{"id":"wiki:512","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:513","kind":"claim","label":"wiki: Slight improvement to past construction","ai_systems":["GPT-5.2 Thinking"]},{"id":"wiki:514","kind":"claim","label":"wiki: Partial result (solutions to first part and second part)","ai_systems":["GPT-5.4 Pro","GPT-5.5 Pro"]},{"id":"wiki:519","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:52","kind":"claim","label":"wiki: Solution to variant problem","ai_systems":["Claude Mythos","GPT-5.5","GPT-5.5 Pro"]},{"id":"wiki:521","kind":"claim","label":"wiki: Solution to variant problem","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:524","kind":"claim","label":"wiki: Improved partial result","ai_systems":["GPT-5.2","GPT-5.4 Pro","Gemini","Grok"]},{"id":"wiki:535","kind":"claim","label":"wiki: Partial result (implicit in literature)","ai_systems":["GPT-5.5 Thinking"]},{"id":"wiki:536","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Codex","GPT-5.5 Pro"]},{"id":"wiki:537","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:539","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Codex","GPT-5.5","ProofCouncil"]},{"id":"wiki:540","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:541","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:543","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.2 Pro"]},{"id":"wiki:550","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT"]},{"id":"wiki:56","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:582","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:593","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT"]},{"id":"wiki:598","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["Aristotle","GPT-5.4 Pro"]},{"id":"wiki:603","kind":"claim","label":"wiki: Full solution","ai_systems":["Codex","GPT-5.4 Pro","GPT-5.5"]},{"id":"wiki:610","kind":"claim","label":"wiki: Full solution (Lean) (implicit in literature)","ai_systems":["Aristotle","GPT-5.4 Pro"]},{"id":"wiki:613","kind":"claim","label":"wiki: Formalization","ai_systems":["GPT Pro"]},{"id":"wiki:618","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:619","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Claude Fable 5","Codex","GPT-5.5"]},{"id":"wiki:621","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:623","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:629","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Thinking","Gemini 3.1 Pro"]},{"id":"wiki:635","kind":"claim","label":"wiki: Solution to one part of problem (Lean)","ai_systems":["Aristotle","GPT-5.2 Pro"]},{"id":"wiki:639","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:645","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:646","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:648","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:649","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:650","kind":"claim","label":"wiki: Full solution (stronger than literature)","ai_systems":["Aristotle","GPT-5.4 Pro"]},{"id":"wiki:654","kind":"claim","label":"wiki: Partial result","ai_systems":["Aletheia"]},{"id":"wiki:658","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:659","kind":"claim","label":"wiki: Full solution","ai_systems":["Aletheia","Aristotle","Gemini 3"]},{"id":"wiki:666","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:671","kind":"claim","label":"wiki: Candidate full solution (Lean)","ai_systems":["Codex","GPT-5.5 Pro"]},{"id":"wiki:675","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:678","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:679","kind":"claim","label":"wiki: Improved proof by reducing dependence on prime number theorem","ai_systems":["Aristotle"]},{"id":"wiki:684","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.2 Thinking","GPT-5.4 Thinking","OpenAI internal model"]},{"id":"wiki:686","kind":"claim","label":"wiki: Various partial results","ai_systems":["AlphaProof","Claude","GPT-5.2 Thinking","GPT-5.4 Thinking","Gemini Deep Think","Seed 2.0 Pro"]},{"id":"wiki:689","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["Codex","GPT-5.2","GPT-5.5 Pro"]},{"id":"wiki:690","kind":"claim","label":"wiki: Full solution","ai_systems":["Multiscalar Fields System"]},{"id":"wiki:692","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:694","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","Claude Code","Claude Opus 4.7","GPT-5.5 Pro"]},{"id":"wiki:696","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","Claude Code","Claude Opus 4.7","GPT-5.5 Pro"]},{"id":"wiki:698","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:707","kind":"claim","label":"wiki: Formalization","ai_systems":["GPT"]},{"id":"wiki:71","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude Opus 4.7","GPT-5.5"]},{"id":"wiki:716","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:728","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","GPT-5.2 Pro"]},{"id":"wiki:729","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","GPT-5.2 Pro"]},{"id":"wiki:730","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:731","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT"]},{"id":"wiki:741","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["DeepMind prover agent","OpenAI internal model"]},{"id":"wiki:749","kind":"claim","label":"wiki: Partial result;  Solution to variant problem","ai_systems":["GPT-5.4 Thinking"]},{"id":"wiki:75","kind":"claim","label":"wiki: Solution to variant problem (implicit in literature)","ai_systems":["Aletheia","GPT-5.4 Pro"]},{"id":"wiki:750","kind":"claim","label":"wiki: Full solution","ai_systems":["Claude Code","Claude Opus 4.7","GPT-5.5 Pro"]},{"id":"wiki:751","kind":"claim","label":"wiki: Formalization","ai_systems":["GPT-5.2 Thinking","GPT-5.2-Codex"]},{"id":"wiki:753","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:756","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:760","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:762","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude Opus 4.7","GPT"]},{"id":"wiki:765","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:768","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT"]},{"id":"wiki:775","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:776","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.2 Thinking"]},{"id":"wiki:783","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.2"]},{"id":"wiki:785","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:788","kind":"claim","label":"wiki: New partial result","ai_systems":["Aristotle","GPT-5.2 Pro"]},{"id":"wiki:794","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:798","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:81","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Aristotle","GPT-5.5 Pro"]},{"id":"wiki:818","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:819","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.5","Rethlas"]},{"id":"wiki:835","kind":"claim","label":"wiki: Formalization","ai_systems":["AlphaProof"]},{"id":"wiki:836","kind":"claim","label":"wiki: Candidate partial result (solution to second part)","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:844","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:845","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:846","kind":"claim","label":"wiki: Full solution (Lean);  Full solution","ai_systems":["DeepMind prover agent; OpenAI internal model (independently)"]},{"id":"wiki:848","kind":"claim","label":"wiki: Derived explicit bound;  Partial result of variant problem","ai_systems":["Aristotle","Claude","Claude Opus 4.6","GPT-5","GPT-5.2","GPT-5.2 Thinking","GPT-5.4","GPT-5.4 Thinking","Gemini 3.1 Pro"]},{"id":"wiki:851","kind":"claim","label":"wiki: Full solution (building upon  Romanoff (1934))","ai_systems":["GPT-5.2 Pro"]},{"id":"wiki:852","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4","GPT-5.5 Pro"]},{"id":"wiki:856","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:858","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:862","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:863","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:865","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:866","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Aristotle","GPT-5.3 Instant"]},{"id":"wiki:867","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:868","kind":"claim","label":"wiki: New partial result","ai_systems":["GPT-5.2 multi-agent system"]},{"id":"wiki:870","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.4 Pro","GPT-5.5 Pro"]},{"id":"wiki:871","kind":"claim","label":"wiki: Existing partial result upgraded to full solution (Lean)","ai_systems":["Claude Opus 4.5","Gemini 3 Pro"]},{"id":"wiki:872","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.2 Pro","GPT-5.4 Pro","GPT-5.5 Pro"]},{"id":"wiki:873","kind":"claim","label":"wiki: Candidate partial result","ai_systems":["GPT-5.4 Thinking","GPT-5.5 Thinking"]},{"id":"wiki:875","kind":"claim","label":"wiki: Partial result (Lean)","ai_systems":["Codex","GPT-5.5 Pro"]},{"id":"wiki:888","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","Claude Opus 4.5","GPT-5.2 Thinking","GPT-5.5 Pro","Gemini 3 Pro"]},{"id":"wiki:896","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:897","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Archivara","Aristotle"]},{"id":"wiki:898","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Gemini 3 Flash"]},{"id":"wiki:90","kind":"claim","label":"wiki: Full solution","ai_systems":["Aleph Prover","Claude Mythos","GPT-5.5 Pro","OpenAI internal model"]},{"id":"wiki:904","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:905","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT-5.4"]},{"id":"wiki:906","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["GPT-5.5 Pro","Unspecified"]},{"id":"wiki:907","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:914","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:923","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:927","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:93","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","Claude Opus 4.5","Claude Opus 4.6","Gemini 3 Flash","Gemini 3 Pro","Numina Lean Agent"]},{"id":"wiki:931","kind":"claim","label":"wiki: Partial result","ai_systems":["Claude","GPT-5.4"]},{"id":"wiki:935","kind":"claim","label":"wiki: Solution to one part of problem","ai_systems":["Aletheia"]},{"id":"wiki:94","kind":"claim","label":"wiki: Formalization","ai_systems":["Codex","GPT-5.2 Thinking; Seed Prover"]},{"id":"wiki:942","kind":"claim","label":"wiki: New proof found","ai_systems":["Aristotle","Claude Opus 4.8","Codex","GPT-5.5","Gemini"]},{"id":"wiki:943","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:947","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle","GPT"]},{"id":"wiki:948","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle","GPT-5.5 Pro"]},{"id":"wiki:949","kind":"claim","label":"wiki: Solution to variant problem (Lean)","ai_systems":["AlphaProof"]},{"id":"wiki:951","kind":"claim","label":"wiki: Solution to variant problem","ai_systems":["AlphaEvolve","GPT-5.2 Pro","GPT-5.2 Thinking"]},{"id":"wiki:953","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:956","kind":"claim","label":"wiki: Candidate full solution","ai_systems":["Aristotle","GPT-5.5 Pro"]},{"id":"wiki:958","kind":"claim","label":"wiki: New proof found (Lean)","ai_systems":["Aristotle","Seed Prover 1.5"]},{"id":"wiki:960","kind":"claim","label":"wiki: Full solution","ai_systems":["OpenAI internal model"]},{"id":"wiki:964","kind":"claim","label":"wiki: Formalization","ai_systems":["Antigravity","Aristotle","Gemini"]},{"id":"wiki:966","kind":"claim","label":"wiki: Full solution (Lean)","ai_systems":["Aristotle"]},{"id":"wiki:967","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:974","kind":"claim","label":"wiki: Formalization","ai_systems":["Aristotle"]},{"id":"wiki:976","kind":"claim","label":"wiki: Conditional partial result","ai_systems":["GPT-5.4"]},{"id":"wiki:983","kind":"claim","label":"wiki: Partial result (solution to first part)","ai_systems":["GPT-5.5 Pro"]},{"id":"wiki:986","kind":"claim","label":"wiki: Full solution","ai_systems":["Claude","OpenAI internal model","Trellis"]},{"id":"wiki:987","kind":"claim","label":"wiki: Full solution","ai_systems":["OpenAI internal model"]},{"id":"wiki:990","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro","OpenAI internal model"]},{"id":"wiki:995","kind":"claim","label":"wiki: Partial result","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:996","kind":"claim","label":"wiki: Full solution","ai_systems":["GPT-5.4 Pro"]},{"id":"wiki:997","kind":"claim","label":"wiki: Full solution","ai_systems":["Aristotle","OpenAI internal model"]}],"edges":[{"from":"fc:1","to":"erdos:1","kind":"derived_from","trust":"declared"},{"from":"fc:10","to":"erdos:10","kind":"derived_from","trust":"declared"},{"from":"fc:100","to":"erdos:100","kind":"derived_from","trust":"declared"},{"from":"fc:1000","to":"erdos:1000","kind":"derived_from","trust":"declared"},{"from":"fc:1001","to":"erdos:1001","kind":"derived_from","trust":"declared"},{"from":"fc:1002","to":"erdos:1002","kind":"derived_from","trust":"declared"},{"from":"fc:1003","to":"erdos:1003","kind":"derived_from","trust":"declared"},{"from":"fc:1004","to":"erdos:1004","kind":"derived_from","trust":"declared"},{"from":"fc:1005","to":"erdos:1005","kind":"derived_from","trust":"declared"},{"from":"fc:1006","to":"erdos:1006","kind":"derived_from","trust":"declared"},{"from":"fc:1007","to":"erdos:1007","kind":"derived_from","trust":"declared"},{"from":"fc:1008","to":"erdos:1008","kind":"derived_from","trust":"declared"},{"from":"fc:1009","to":"erdos:1009","kind":"derived_from","trust":"declared"},{"from":"fc:101","to":"erdos:101","kind":"derived_from","trust":"declared"},{"from":"fc:1010","to":"erdos:1010","kind":"derived_from","trust":"declared"},{"from":"fc:1011","to":"erdos:1011","kind":"derived_from","trust":"declared"},{"from":"fc:1012","to":"erdos:1012","kind":"derived_from","trust":"declared"},{"from":"fc:1013","to":"erdos:1013","kind":"derived_from","trust":"declared"},{"from":"fc:1014","to":"erdos:1014","kind":"derived_from","trust":"declared"},{"from":"fc:1015","to":"erdos:1015","kind":"derived_from","trust":"declared"},{"from":"fc:1016","to":"erdos:1016","kind":"derived_from","trust":"declared"},{"from":"fc:1017","to":"erdos:1017","kind":"derived_from","trust":"declared"},{"from":"fc:1018","to":"erdos:1018","kind":"derived_from","trust":"declared"},{"from":"fc:1019","to":"erdos:1019","kind":"derived_from","trust":"declared"},{"from":"fc:102","to":"erdos:102","kind":"derived_from","trust":"declared"},{"from":"fc:1020","to":"erdos:1020","kind":"derived_from","trust":"declared"},{"from":"fc:1021","to":"erdos:1021","kind":"derived_from","trust":"declared"},{"from":"fc:1022","to":"erdos:1022","kind":"derived_from","trust":"declared"},{"from":"fc:1023","to":"erdos:1023","kind":"derived_from","trust":"declared"},{"from":"fc:1024","to":"erdos:1024","kind":"derived_from","trust":"declared"},{"from":"fc:1025","to":"erdos:1025","kind":"derived_from","trust":"declared"},{"from":"fc:1026","to":"erdos:1026","kind":"derived_from","trust":"declared"},{"from":"fc:1027","to":"erdos:1027","kind":"derived_from","trust":"declared"},{"from":"fc:1028","to":"erdos:1028","kind":"derived_from","trust":"declared"},{"from":"fc:1029","to":"erdos:1029","kind":"derived_from","trust":"declared"},{"from":"fc:103","to":"erdos:103","kind":"derived_from","trust":"declared"},{"from":"fc:1030","to":"erdos:1030","kind":"derived_from","trust":"declared"},{"from":"fc:1031","to":"erdos:1031","kind":"derived_from","trust":"declared"},{"from":"fc:1032","to":"erdos:1032","kind":"derived_from","trust":"declared"},{"from":"fc:1033","to":"erdos:1033","kind":"derived_from","trust":"declared"},{"from":"fc:1034","to":"erdos:1034","kind":"derived_from","trust":"declared"},{"from":"fc:1035","to":"erdos:1035","kind":"derived_from","trust":"declared"},{"from":"fc:1036","to":"erdos:1036","kind":"derived_from","trust":"declared"},{"from":"fc:1037","to":"erdos:1037","kind":"derived_from","trust":"declared"},{"from":"fc:1038","to":"erdos:1038","kind":"derived_from","trust":"declared"},{"from":"fc:1039","to":"erdos:1039","kind":"derived_from","trust":"declared"},{"from":"fc:104","to":"erdos:104","kind":"derived_from","trust":"declared"},{"from":"fc:1040","to":"erdos:1040","kind":"derived_from","trust":"declared"},{"from":"fc:1041","to":"erdos:1041","kind":"derived_from","trust":"declared"},{"from":"fc:1042","to":"erdos:1042","kind":"derived_from","trust":"declared"},{"from":"fc:1043","to":"erdos:1043","kind":"derived_from","trust":"declared"},{"from":"fc:1044","to":"erdos:1044","kind":"derived_from","trust":"declared"},{"from":"fc:1045","to":"erdos:1045","kind":"derived_from","trust":"declared"},{"from":"fc:1046","to":"erdos:1046","kind":"derived_from","trust":"declared"},{"from":"fc:1047","to":"erdos:1047","kind":"derived_from","trust":"declared"},{"from":"fc:1048","to":"erdos:1048","kind":"derived_from","trust":"declared"},{"from":"fc:1049","to":"erdos:1049","kind":"derived_from","trust":"declared"},{"from":"fc:105","to":"erdos:105","kind":"derived_from","trust":"declared"},{"from":"fc:1050","to":"erdos:1050","kind":"derived_from","trust":"declared"},{"from":"fc:1051","to":"erdos:1051","kind":"derived_from","trust":"declared"},{"from":"fc:1052","to":"erdos:1052","kind":"derived_from","trust":"declared"},{"from":"fc:1053","to":"erdos:1053","kind":"derived_from","trust":"declared"},{"from":"fc:1054","to":"erdos:1054","kind":"derived_from","trust":"declared"},{"from":"fc:1055","to":"erdos:1055","kind":"derived_from","trust":"declared"},{"from":"fc:1056","to":"erdos:1056","kind":"derived_from","trust":"declared"},{"from":"fc:1057","to":"erdos:1057","kind":"derived_from","trust":"declared"},{"from":"fc:1058","to":"erdos:1058","kind":"derived_from","trust":"declared"},{"from":"fc:1059","to":"erdos:1059","kind":"derived_from","trust":"declared"},{"from":"fc:106","to":"erdos:106","kind":"derived_from","trust":"declared"},{"from":"fc:1060","to":"erdos:1060","kind":"derived_from","trust":"declared"},{"from":"fc:1061","to":"erdos:1061","kind":"derived_from","trust":"declared"},{"from":"fc:1062","to":"erdos:1062","kind":"derived_from","trust":"declared"},{"from":"fc:1063","to":"erdos:1063","kind":"derived_from","trust":"declared"},{"from":"fc:1064","to":"erdos:1064","kind":"derived_from","trust":"declared"},{"from":"fc:1065","to":"erdos:1065","kind":"derived_from","trust":"declared"},{"from":"fc:1066","to":"erdos:1066","kind":"derived_from","trust":"declared"},{"from":"fc:1067","to":"erdos:1067","kind":"derived_from","trust":"declared"},{"from":"fc:1068","to":"erdos:1068","kind":"derived_from","trust":"declared"},{"from":"fc:1069","to":"erdos:1069","kind":"derived_from","trust":"declared"},{"from":"fc:107","to":"erdos:107","kind":"derived_from","trust":"declared"},{"from":"fc:1070","to":"erdos:1070","kind":"derived_from","trust":"declared"},{"from":"fc:1071","to":"erdos:1071","kind":"derived_from","trust":"declared"},{"from":"fc:1072","to":"erdos:1072","kind":"derived_from","trust":"declared"},{"from":"fc:1073","to":"erdos:1073","kind":"derived_from","trust":"declared"},{"from":"fc:1074","to":"erdos:1074","kind":"derived_from","trust":"declared"},{"from":"fc:1075","to":"erdos:1075","kind":"derived_from","trust":"declared"},{"from":"fc:1076","to":"erdos:1076","kind":"derived_from","trust":"declared"},{"from":"fc:1077","to":"erdos:1077","kind":"derived_from","trust":"declared"},{"from":"fc:1078","to":"erdos:1078","kind":"derived_from","trust":"declared"},{"from":"fc:1079","to":"erdos:1079","kind":"derived_from","trust":"declared"},{"from":"fc:108","to":"erdos:108","kind":"derived_from","trust":"declared"},{"from":"fc:1080","to":"erdos:1080","kind":"derived_from","trust":"declared"},{"from":"fc:1081","to":"erdos:1081","kind":"derived_from","trust":"declared"},{"from":"fc:1082","to":"erdos:1082","kind":"derived_from","trust":"declared"},{"from":"fc:1083","to":"erdos:1083","kind":"derived_from","trust":"declared"},{"from":"fc:1084","to":"erdos:1084","kind":"derived_from","trust":"declared"},{"from":"fc:1085","to":"erdos:1085","kind":"derived_from","trust":"declared"},{"from":"fc:1086","to":"erdos:1086","kind":"derived_from","trust":"declared"},{"from":"fc:1087","to":"erdos:1087","kind":"derived_from","trust":"declared"},{"from":"fc:1088","to":"erdos:1088","kind":"derived_from","trust":"declared"},{"from":"fc:1089","to":"erdos:1089","kind":"derived_from","trust":"declared"},{"from":"fc:109","to":"erdos:109","kind":"derived_from","trust":"declared"},{"from":"fc:1090","to":"erdos:1090","kind":"derived_from","trust":"declared"},{"from":"fc:1091","to":"erdos:1091","kind":"derived_from","trust":"declared"},{"from":"fc:1092","to":"erdos:1092","kind":"derived_from","trust":"declared"},{"from":"fc:1093","to":"erdos:1093","kind":"derived_from","trust":"declared"},{"from":"fc:1094","to":"erdos:1094","kind":"derived_from","trust":"declared"},{"from":"fc:1095","to":"erdos:1095","kind":"derived_from","trust":"declared"},{"from":"fc:1096","to":"erdos:1096","kind":"derived_from","trust":"declared"},{"from":"fc:1097","to":"erdos:1097","kind":"derived_from","trust":"declared"},{"from":"fc:1098","to":"erdos:1098","kind":"derived_from","trust":"declared"},{"from":"fc:1099","to":"erdos:1099","kind":"derived_from","trust":"declared"},{"from":"fc:11","to":"erdos:11","kind":"derived_from","trust":"declared"},{"from":"fc:110","to":"erdos:110","kind":"derived_from","trust":"declared"},{"from":"fc:1100","to":"erdos:1100","kind":"derived_from","trust":"declared"},{"from":"fc:1101","to":"erdos:1101","kind":"derived_from","trust":"declared"},{"from":"fc:1102","to":"erdos:1102","kind":"derived_from","trust":"declared"},{"from":"fc:1103","to":"erdos:1103","kind":"derived_from","trust":"declared"},{"from":"fc:1104","to":"erdos:1104","kind":"derived_from","trust":"declared"},{"from":"fc:1105","to":"erdos:1105","kind":"derived_from","trust":"declared"},{"from":"fc:1106","to":"erdos:1106","kind":"derived_from","trust":"declared"},{"from":"fc:1107","to":"erdos:1107","kind":"derived_from","trust":"declared"},{"from":"fc:1108","to":"erdos:1108","kind":"derived_from","trust":"declared"},{"from":"fc:1109","to":"erdos:1109","kind":"derived_from","trust":"declared"},{"from":"fc:111","to":"erdos:111","kind":"derived_from","trust":"declared"},{"from":"fc:1110","to":"erdos:1110","kind":"derived_from","trust":"declared"},{"from":"fc:1111","to":"erdos:1111","kind":"derived_from","trust":"declared"},{"from":"fc:1112","to":"erdos:1112","kind":"derived_from","trust":"declared"},{"from":"fc:1113","to":"erdos:1113","kind":"derived_from","trust":"declared"},{"from":"fc:1114","to":"erdos:1114","kind":"derived_from","trust":"declared"},{"from":"fc:1115","to":"erdos:1115","kind":"derived_from","trust":"declared"},{"from":"fc:1116","to":"erdos:1116","kind":"derived_from","trust":"declared"},{"from":"fc:1117","to":"erdos:1117","kind":"derived_from","trust":"declared"},{"from":"fc:1118","to":"erdos:1118","kind":"derived_from","trust":"declared"},{"from":"fc:1119","to":"erdos:1119","kind":"derived_from","trust":"declared"},{"from":"fc:112","to":"erdos:112","kind":"derived_from","trust":"declared"},{"from":"fc:1120","to":"erdos:1120","kind":"derived_from","trust":"declared"},{"from":"fc:1121","to":"erdos:1121","kind":"derived_from","trust":"declared"},{"from":"fc:1122","to":"erdos:1122","kind":"derived_from","trust":"declared"},{"from":"fc:1123","to":"erdos:1123","kind":"derived_from","trust":"declared"},{"from":"fc:1124","to":"erdos:1124","kind":"derived_from","trust":"declared"},{"from":"fc:1125","to":"erdos:1125","kind":"derived_from","trust":"declared"},{"from":"fc:1126","to":"erdos:1126","kind":"derived_from","trust":"declared"},{"from":"fc:1127","to":"erdos:1127","kind":"derived_from","trust":"declared"},{"from":"fc:1128","to":"erdos:1128","kind":"derived_from","trust":"declared"},{"from":"fc:1129","to":"erdos:1129","kind":"derived_from","trust":"declared"},{"from":"fc:1133","to":"erdos:1133","kind":"derived_from","trust":"declared"},{"from":"fc:1135","to":"erdos:1135","kind":"derived_from","trust":"declared"},{"from":"fc:1137","to":"erdos:1137","kind":"derived_from","trust":"declared"},{"from":"fc:1138","to":"erdos:1138","kind":"derived_from","trust":"declared"},{"from":"fc:1139","to":"erdos:1139","kind":"derived_from","trust":"declared"},{"from":"fc:114","to":"erdos:114","kind":"derived_from","trust":"declared"},{"from":"fc:1141","to":"erdos:1141","kind":"derived_from","trust":"declared"},{"from":"fc:1142","to":"erdos:1142","kind":"derived_from","trust":"declared"},{"from":"fc:1144","to":"erdos:1144","kind":"derived_from","trust":"declared"},{"from":"fc:1145","to":"erdos:1145","kind":"derived_from","trust":"declared"},{"from":"fc:1146","to":"erdos:1146","kind":"derived_from","trust":"declared"},{"from":"fc:1148","to":"erdos:1148","kind":"derived_from","trust":"declared"},{"from":"fc:1150","to":"erdos:1150","kind":"derived_from","trust":"declared"},{"from":"fc:1151","to":"erdos:1151","kind":"derived_from","trust":"declared"},{"from":"fc:1154","to":"erdos:1154","kind":"derived_from","trust":"declared"},{"from":"fc:1155","to":"erdos:1155","kind":"derived_from","trust":"declared"},{"from":"fc:1156","to":"erdos:1156","kind":"derived_from","trust":"declared"},{"from":"fc:1167","to":"erdos:1167","kind":"derived_from","trust":"declared"},{"from":"fc:1168","to":"erdos:1168","kind":"derived_from","trust":"declared"},{"from":"fc:1169","to":"erdos:1169","kind":"derived_from","trust":"declared"},{"from":"fc:1170","to":"erdos:1170","kind":"derived_from","trust":"declared"},{"from":"fc:1171","to":"erdos:1171","kind":"derived_from","trust":"declared"},{"from":"fc:1172","to":"erdos:1172","kind":"derived_from","trust":"declared"},{"from":"fc:1173","to":"erdos:1173","kind":"derived_from","trust":"declared"},{"from":"fc:1174","to":"erdos:1174","kind":"derived_from","trust":"declared"},{"from":"fc:1175","to":"erdos:1175","kind":"derived_from","trust":"declared"},{"from":"fc:1176","to":"erdos:1176","kind":"derived_from","trust":"declared"},{"from":"fc:1177","to":"erdos:1177","kind":"derived_from","trust":"declared"},{"from":"fc:118","to":"erdos:118","kind":"derived_from","trust":"declared"},{"from":"fc:119","to":"erdos:119","kind":"derived_from","trust":"declared"},{"from":"fc:1192","to":"erdos:1192","kind":"derived_from","trust":"declared"},{"from":"fc:1196","to":"erdos:1196","kind":"derived_from","trust":"declared"},{"from":"fc:1199","to":"erdos:1199","kind":"derived_from","trust":"declared"},{"from":"fc:12","to":"erdos:12","kind":"derived_from","trust":"declared"},{"from":"fc:120","to":"erdos:120","kind":"derived_from","trust":"declared"},{"from":"fc:1200","to":"erdos:1200","kind":"derived_from","trust":"declared"},{"from":"fc:1201","to":"erdos:1201","kind":"derived_from","trust":"declared"},{"from":"fc:1203","to":"erdos:1203","kind":"derived_from","trust":"declared"},{"from":"fc:1208","to":"erdos:1208","kind":"derived_from","trust":"declared"},{"from":"fc:1209","to":"erdos:1209","kind":"derived_from","trust":"declared"},{"from":"fc:1210","to":"erdos:1210","kind":"derived_from","trust":"declared"},{"from":"fc:1212","to":"erdos:1212","kind":"derived_from","trust":"declared"},{"from":"fc:1214","to":"erdos:1214","kind":"derived_from","trust":"declared"},{"from":"fc:123","to":"erdos:123","kind":"derived_from","trust":"declared"},{"from":"fc:124","to":"erdos:124","kind":"derived_from","trust":"declared"},{"from":"fc:125","to":"erdos:125","kind":"derived_from","trust":"declared"},{"from":"fc:126","to":"erdos:126","kind":"derived_from","trust":"declared"},{"from":"fc:128","to":"erdos:128","kind":"derived_from","trust":"declared"},{"from":"fc:129","to":"erdos:129","kind":"derived_from","trust":"declared"},{"from":"fc:13","to":"erdos:13","kind":"derived_from","trust":"declared"},{"from":"fc:134","to":"erdos:134","kind":"derived_from","trust":"declared"},{"from":"fc:137","to":"erdos:137","kind":"derived_from","trust":"declared"},{"from":"fc:138","to":"erdos:138","kind":"derived_from","trust":"declared"},{"from":"fc:139","to":"erdos:139","kind":"derived_from","trust":"declared"},{"from":"fc:14","to":"erdos:14","kind":"derived_from","trust":"declared"},{"from":"fc:141","to":"erdos:141","kind":"derived_from","trust":"declared"},{"from":"fc:142","to":"erdos:142","kind":"derived_from","trust":"declared"},{"from":"fc:143","to":"erdos:143","kind":"derived_from","trust":"declared"},{"from":"fc:145","to":"erdos:145","kind":"derived_from","trust":"declared"},{"from":"fc:15","to":"erdos:15","kind":"derived_from","trust":"declared"},{"from":"fc:152","to":"erdos:152","kind":"derived_from","trust":"declared"},{"from":"fc:153","to":"erdos:153","kind":"derived_from","trust":"declared"},{"from":"fc:154","to":"erdos:154","kind":"derived_from","trust":"declared"},{"from":"fc:155","to":"erdos:155","kind":"derived_from","trust":"declared"},{"from":"fc:156","to":"erdos:156","kind":"derived_from","trust":"declared"},{"from":"fc:158","to":"erdos:158","kind":"derived_from","trust":"declared"},{"from":"fc:159","to":"erdos:159","kind":"derived_from","trust":"declared"},{"from":"fc:16","to":"erdos:16","kind":"derived_from","trust":"declared"},{"from":"fc:160","to":"erdos:160","kind":"derived_from","trust":"declared"},{"from":"fc:164","to":"erdos:164","kind":"derived_from","trust":"declared"},{"from":"fc:165","to":"erdos:165","kind":"derived_from","trust":"declared"},{"from":"fc:168","to":"erdos:168","kind":"derived_from","trust":"declared"},{"from":"fc:17","to":"erdos:17","kind":"derived_from","trust":"declared"},{"from":"fc:170","to":"erdos:170","kind":"derived_from","trust":"declared"},{"from":"fc:172","to":"erdos:172","kind":"derived_from","trust":"declared"},{"from":"fc:175","to":"erdos:175","kind":"derived_from","trust":"declared"},{"from":"fc:178","to":"erdos:178","kind":"derived_from","trust":"declared"},{"from":"fc:18","to":"erdos:18","kind":"derived_from","trust":"declared"},{"from":"fc:184","to":"erdos:184","kind":"derived_from","trust":"declared"},{"from":"fc:188","to":"erdos:188","kind":"derived_from","trust":"declared"},{"from":"fc:189","to":"erdos:189","kind":"derived_from","trust":"declared"},{"from":"fc:19","to":"erdos:19","kind":"derived_from","trust":"declared"},{"from":"fc:190","to":"erdos:190","kind":"derived_from","trust":"declared"},{"from":"fc:193","to":"erdos:193","kind":"derived_from","trust":"declared"},{"from":"fc:194","to":"erdos:194","kind":"derived_from","trust":"declared"},{"from":"fc:195","to":"erdos:195","kind":"derived_from","trust":"declared"},{"from":"fc:196","to":"erdos:196","kind":"derived_from","trust":"declared"},{"from":"fc:197","to":"erdos:197","kind":"derived_from","trust":"declared"},{"from":"fc:198","to":"erdos:198","kind":"derived_from","trust":"declared"},{"from":"fc:199","to":"erdos:199","kind":"derived_from","trust":"declared"},{"from":"fc:2","to":"erdos:2","kind":"derived_from","trust":"declared"},{"from":"fc:20","to":"erdos:20","kind":"derived_from","trust":"declared"},{"from":"fc:200","to":"erdos:200","kind":"derived_from","trust":"declared"},{"from":"fc:203","to":"erdos:203","kind":"derived_from","trust":"declared"},{"from":"fc:204","to":"erdos:204","kind":"derived_from","trust":"declared"},{"from":"fc:206","to":"erdos:206","kind":"derived_from","trust":"declared"},{"from":"fc:208","to":"erdos:208","kind":"derived_from","trust":"declared"},{"from":"fc:209","to":"erdos:209","kind":"derived_from","trust":"declared"},{"from":"fc:212","to":"erdos:212","kind":"derived_from","trust":"declared"},{"from":"fc:213","to":"erdos:213","kind":"derived_from","trust":"declared"},{"from":"fc:217","to":"erdos:217","kind":"derived_from","trust":"declared"},{"from":"fc:218","to":"erdos:218","kind":"derived_from","trust":"declared"},{"from":"fc:219","to":"erdos:219","kind":"derived_from","trust":"declared"},{"from":"fc:22","to":"erdos:22","kind":"derived_from","trust":"declared"},{"from":"fc:221","to":"erdos:221","kind":"derived_from","trust":"declared"},{"from":"fc:224","to":"erdos:224","kind":"derived_from","trust":"declared"},{"from":"fc:226","to":"erdos:226","kind":"derived_from","trust":"declared"},{"from":"fc:228","to":"erdos:228","kind":"derived_from","trust":"declared"},{"from":"fc:229","to":"erdos:229","kind":"derived_from","trust":"declared"},{"from":"fc:23","to":"erdos:23","kind":"derived_from","trust":"declared"},{"from":"fc:233","to":"erdos:233","kind":"derived_from","trust":"declared"},{"from":"fc:234","to":"erdos:234","kind":"derived_from","trust":"declared"},{"from":"fc:236","to":"erdos:236","kind":"derived_from","trust":"declared"},{"from":"fc:238","to":"erdos:238","kind":"derived_from","trust":"declared"},{"from":"fc:239","to":"erdos:239","kind":"derived_from","trust":"declared"},{"from":"fc:24","to":"erdos:24","kind":"derived_from","trust":"declared"},{"from":"fc:241","to":"erdos:241","kind":"derived_from","trust":"declared"},{"from":"fc:242","to":"erdos:242","kind":"derived_from","trust":"declared"},{"from":"fc:243","to":"erdos:243","kind":"derived_from","trust":"declared"},{"from":"fc:244","to":"erdos:244","kind":"derived_from","trust":"declared"},{"from":"fc:245","to":"erdos:245","kind":"derived_from","trust":"declared"},{"from":"fc:246","to":"erdos:246","kind":"derived_from","trust":"declared"},{"from":"fc:247","to":"erdos:247","kind":"derived_from","trust":"declared"},{"from":"fc:248","to":"erdos:248","kind":"derived_from","trust":"declared"},{"from":"fc:249","to":"erdos:249","kind":"derived_from","trust":"declared"},{"from":"fc:25","to":"erdos:25","kind":"derived_from","trust":"declared"},{"from":"fc:250","to":"erdos:250","kind":"derived_from","trust":"declared"},{"from":"fc:251","to":"erdos:251","kind":"derived_from","trust":"declared"},{"from":"fc:252","to":"erdos:252","kind":"derived_from","trust":"declared"},{"from":"fc:253","to":"erdos:253","kind":"derived_from","trust":"declared"},{"from":"fc:254","to":"erdos:254","kind":"derived_from","trust":"declared"},{"from":"fc:257","to":"erdos:257","kind":"derived_from","trust":"declared"},{"from":"fc:258","to":"erdos:258","kind":"derived_from","trust":"declared"},{"from":"fc:259","to":"erdos:259","kind":"derived_from","trust":"declared"},{"from":"fc:26","to":"erdos:26","kind":"derived_from","trust":"declared"},{"from":"fc:260","to":"erdos:260","kind":"derived_from","trust":"declared"},{"from":"fc:261","to":"erdos:261","kind":"derived_from","trust":"declared"},{"from":"fc:263","to":"erdos:263","kind":"derived_from","trust":"declared"},{"from":"fc:264","to":"erdos:264","kind":"derived_from","trust":"declared"},{"from":"fc:266","to":"erdos:266","kind":"derived_from","trust":"declared"},{"from":"fc:267","to":"erdos:267","kind":"derived_from","trust":"declared"},{"from":"fc:268","to":"erdos:268","kind":"derived_from","trust":"declared"},{"from":"fc:269","to":"erdos:269","kind":"derived_from","trust":"declared"},{"from":"fc:272","to":"erdos:272","kind":"derived_from","trust":"declared"},{"from":"fc:273","to":"erdos:273","kind":"derived_from","trust":"declared"},{"from":"fc:274","to":"erdos:274","kind":"derived_from","trust":"declared"},{"from":"fc:275","to":"erdos:275","kind":"derived_from","trust":"declared"},{"from":"fc:276","to":"erdos:276","kind":"derived_from","trust":"declared"},{"from":"fc:277","to":"erdos:277","kind":"derived_from","trust":"declared"},{"from":"fc:279","to":"erdos:279","kind":"derived_from","trust":"declared"},{"from":"fc:28","to":"erdos:28","kind":"derived_from","trust":"declared"},{"from":"fc:280","to":"erdos:280","kind":"derived_from","trust":"declared"},{"from":"fc:281","to":"erdos:281","kind":"derived_from","trust":"declared"},{"from":"fc:282","to":"erdos:282","kind":"derived_from","trust":"declared"},{"from":"fc:283","to":"erdos:283","kind":"derived_from","trust":"declared"},{"from":"fc:285","to":"erdos:285","kind":"derived_from","trust":"declared"},{"from":"fc:287","to":"erdos:287","kind":"derived_from","trust":"declared"},{"from":"fc:288","to":"erdos:288","kind":"derived_from","trust":"declared"},{"from":"fc:289","to":"erdos:289","kind":"derived_from","trust":"declared"},{"from":"fc:290","to":"erdos:290","kind":"derived_from","trust":"declared"},{"from":"fc:291","to":"erdos:291","kind":"derived_from","trust":"declared"},{"from":"fc:295","to":"erdos:295","kind":"derived_from","trust":"declared"},{"from":"fc:296","to":"erdos:296","kind":"derived_from","trust":"declared"},{"from":"fc:298","to":"erdos:298","kind":"derived_from","trust":"declared"},{"from":"fc:299","to":"erdos:299","kind":"derived_from","trust":"declared"},{"from":"fc:3","to":"erdos:3","kind":"derived_from","trust":"declared"},{"from":"fc:30","to":"erdos:30","kind":"derived_from","trust":"declared"},{"from":"fc:303","to":"erdos:303","kind":"derived_from","trust":"declared"},{"from":"fc:304","to":"erdos:304","kind":"derived_from","trust":"declared"},{"from":"fc:306","to":"erdos:306","kind":"derived_from","trust":"declared"},{"from":"fc:307","to":"erdos:307","kind":"derived_from","trust":"declared"},{"from":"fc:31","to":"erdos:31","kind":"derived_from","trust":"declared"},{"from":"fc:312","to":"erdos:312","kind":"derived_from","trust":"declared"},{"from":"fc:313","to":"erdos:313","kind":"derived_from","trust":"declared"},{"from":"fc:314","to":"erdos:314","kind":"derived_from","trust":"declared"},{"from":"fc:315","to":"erdos:315","kind":"derived_from","trust":"declared"},{"from":"fc:316","to":"erdos:316","kind":"derived_from","trust":"declared"},{"from":"fc:317","to":"erdos:317","kind":"derived_from","trust":"declared"},{"from":"fc:318","to":"erdos:318","kind":"derived_from","trust":"declared"},{"from":"fc:319","to":"erdos:319","kind":"derived_from","trust":"declared"},{"from":"fc:32","to":"erdos:32","kind":"derived_from","trust":"declared"},{"from":"fc:321","to":"erdos:321","kind":"derived_from","trust":"declared"},{"from":"fc:323","to":"erdos:323","kind":"derived_from","trust":"declared"},{"from":"fc:324","to":"erdos:324","kind":"derived_from","trust":"declared"},{"from":"fc:325","to":"erdos:325","kind":"derived_from","trust":"declared"},{"from":"fc:326","to":"erdos:326","kind":"derived_from","trust":"declared"},{"from":"fc:328","to":"erdos:328","kind":"derived_from","trust":"declared"},{"from":"fc:329","to":"erdos:329","kind":"derived_from","trust":"declared"},{"from":"fc:33","to":"erdos:33","kind":"derived_from","trust":"declared"},{"from":"fc:330","to":"erdos:330","kind":"derived_from","trust":"declared"},{"from":"fc:331","to":"erdos:331","kind":"derived_from","trust":"declared"},{"from":"fc:332","to":"erdos:332","kind":"derived_from","trust":"declared"},{"from":"fc:333","to":"erdos:333","kind":"derived_from","trust":"declared"},{"from":"fc:34","to":"erdos:34","kind":"derived_from","trust":"declared"},{"from":"fc:340","to":"erdos:340","kind":"derived_from","trust":"declared"},{"from":"fc:341","to":"erdos:341","kind":"derived_from","trust":"declared"},{"from":"fc:342","to":"erdos:342","kind":"derived_from","trust":"declared"},{"from":"fc:346","to":"erdos:346","kind":"derived_from","trust":"declared"},{"from":"fc:347","to":"erdos:347","kind":"derived_from","trust":"declared"},{"from":"fc:348","to":"erdos:348","kind":"derived_from","trust":"declared"},{"from":"fc:349","to":"erdos:349","kind":"derived_from","trust":"declared"},{"from":"fc:350","to":"erdos:350","kind":"derived_from","trust":"declared"},{"from":"fc:351","to":"erdos:351","kind":"derived_from","trust":"declared"},{"from":"fc:352","to":"erdos:352","kind":"derived_from","trust":"declared"},{"from":"fc:353","to":"erdos:353","kind":"derived_from","trust":"declared"},{"from":"fc:354","to":"erdos:354","kind":"derived_from","trust":"declared"},{"from":"fc:355","to":"erdos:355","kind":"derived_from","trust":"declared"},{"from":"fc:357","to":"erdos:357","kind":"derived_from","trust":"declared"},{"from":"fc:358","to":"erdos:358","kind":"derived_from","trust":"declared"},{"from":"fc:359","to":"erdos:359","kind":"derived_from","trust":"declared"},{"from":"fc:36","to":"erdos:36","kind":"derived_from","trust":"declared"},{"from":"fc:361","to":"erdos:361","kind":"derived_from","trust":"declared"},{"from":"fc:363","to":"erdos:363","kind":"derived_from","trust":"declared"},{"from":"fc:364","to":"erdos:364","kind":"derived_from","trust":"declared"},{"from":"fc:366","to":"erdos:366","kind":"derived_from","trust":"declared"},{"from":"fc:367","to":"erdos:367","kind":"derived_from","trust":"declared"},{"from":"fc:369","to":"erdos:369","kind":"derived_from","trust":"declared"},{"from":"fc:370","to":"erdos:370","kind":"derived_from","trust":"declared"},{"from":"fc:371","to":"erdos:371","kind":"derived_from","trust":"declared"},{"from":"fc:372","to":"erdos:372","kind":"derived_from","trust":"declared"},{"from":"fc:373","to":"erdos:373","kind":"derived_from","trust":"declared"},{"from":"fc:375","to":"erdos:375","kind":"derived_from","trust":"declared"},{"from":"fc:376","to":"erdos:376","kind":"derived_from","trust":"declared"},{"from":"fc:377","to":"erdos:377","kind":"derived_from","trust":"declared"},{"from":"fc:379","to":"erdos:379","kind":"derived_from","trust":"declared"},{"from":"fc:38","to":"erdos:38","kind":"derived_from","trust":"declared"},{"from":"fc:383","to":"erdos:383","kind":"derived_from","trust":"declared"},{"from":"fc:385","to":"erdos:385","kind":"derived_from","trust":"declared"},{"from":"fc:386","to":"erdos:386","kind":"derived_from","trust":"declared"},{"from":"fc:387","to":"erdos:387","kind":"derived_from","trust":"declared"},{"from":"fc:389","to":"erdos:389","kind":"derived_from","trust":"declared"},{"from":"fc:39","to":"erdos:39","kind":"derived_from","trust":"declared"},{"from":"fc:390","to":"erdos:390","kind":"derived_from","trust":"declared"},{"from":"fc:392","to":"erdos:392","kind":"derived_from","trust":"declared"},{"from":"fc:394","to":"erdos:394","kind":"derived_from","trust":"declared"},{"from":"fc:396","to":"erdos:396","kind":"derived_from","trust":"declared"},{"from":"fc:397","to":"erdos:397","kind":"derived_from","trust":"declared"},{"from":"fc:398","to":"erdos:398","kind":"derived_from","trust":"declared"},{"from":"fc:399","to":"erdos:399","kind":"derived_from","trust":"declared"},{"from":"fc:4","to":"erdos:4","kind":"derived_from","trust":"declared"},{"from":"fc:40","to":"erdos:40","kind":"derived_from","trust":"declared"},{"from":"fc:400","to":"erdos:400","kind":"derived_from","trust":"declared"},{"from":"fc:401","to":"erdos:401","kind":"derived_from","trust":"declared"},{"from":"fc:402","to":"erdos:402","kind":"derived_from","trust":"declared"},{"from":"fc:403","to":"erdos:403","kind":"derived_from","trust":"declared"},{"from":"fc:405","to":"erdos:405","kind":"derived_from","trust":"declared"},{"from":"fc:406","to":"erdos:406","kind":"derived_from","trust":"declared"},{"from":"fc:409","to":"erdos:409","kind":"derived_from","trust":"declared"},{"from":"fc:41","to":"erdos:41","kind":"derived_from","trust":"declared"},{"from":"fc:410","to":"erdos:410","kind":"derived_from","trust":"declared"},{"from":"fc:412","to":"erdos:412","kind":"derived_from","trust":"declared"},{"from":"fc:413","to":"erdos:413","kind":"derived_from","trust":"declared"},{"from":"fc:414","to":"erdos:414","kind":"derived_from","trust":"declared"},{"from":"fc:416","to":"erdos:416","kind":"derived_from","trust":"declared"},{"from":"fc:417","to":"erdos:417","kind":"derived_from","trust":"declared"},{"from":"fc:418","to":"erdos:418","kind":"derived_from","trust":"declared"},{"from":"fc:419","to":"erdos:419","kind":"derived_from","trust":"declared"},{"from":"fc:42","to":"erdos:42","kind":"derived_from","trust":"declared"},{"from":"fc:421","to":"erdos:421","kind":"derived_from","trust":"declared"},{"from":"fc:422","to":"erdos:422","kind":"derived_from","trust":"declared"},{"from":"fc:423","to":"erdos:423","kind":"derived_from","trust":"declared"},{"from":"fc:424","to":"erdos:424","kind":"derived_from","trust":"declared"},{"from":"fc:425","to":"erdos:425","kind":"derived_from","trust":"declared"},{"from":"fc:426","to":"erdos:426","kind":"derived_from","trust":"declared"},{"from":"fc:427","to":"erdos:427","kind":"derived_from","trust":"declared"},{"from":"fc:428","to":"erdos:428","kind":"derived_from","trust":"declared"},{"from":"fc:429","to":"erdos:429","kind":"derived_from","trust":"declared"},{"from":"fc:43","to":"erdos:43","kind":"derived_from","trust":"declared"},{"from":"fc:431","to":"erdos:431","kind":"derived_from","trust":"declared"},{"from":"fc:433","to":"erdos:433","kind":"derived_from","trust":"declared"},{"from":"fc:434","to":"erdos:434","kind":"derived_from","trust":"declared"},{"from":"fc:435","to":"erdos:435","kind":"derived_from","trust":"declared"},{"from":"fc:44","to":"erdos:44","kind":"derived_from","trust":"declared"},{"from":"fc:442","to":"erdos:442","kind":"derived_from","trust":"declared"},{"from":"fc:443","to":"erdos:443","kind":"derived_from","trust":"declared"},{"from":"fc:445","to":"erdos:445","kind":"derived_from","trust":"declared"},{"from":"fc:447","to":"erdos:447","kind":"derived_from","trust":"declared"},{"from":"fc:448","to":"erdos:448","kind":"derived_from","trust":"declared"},{"from":"fc:450","to":"erdos:450","kind":"derived_from","trust":"declared"},{"from":"fc:452","to":"erdos:452","kind":"derived_from","trust":"declared"},{"from":"fc:453","to":"erdos:453","kind":"derived_from","trust":"declared"},{"from":"fc:454","to":"erdos:454","kind":"derived_from","trust":"declared"},{"from":"fc:455","to":"erdos:455","kind":"derived_from","trust":"declared"},{"from":"fc:456","to":"erdos:456","kind":"derived_from","trust":"declared"},{"from":"fc:457","to":"erdos:457","kind":"derived_from","trust":"declared"},{"from":"fc:458","to":"erdos:458","kind":"derived_from","trust":"declared"},{"from":"fc:459","to":"erdos:459","kind":"derived_from","trust":"declared"},{"from":"fc:462","to":"erdos:462","kind":"derived_from","trust":"declared"},{"from":"fc:463","to":"erdos:463","kind":"derived_from","trust":"declared"},{"from":"fc:464","to":"erdos:464","kind":"derived_from","trust":"declared"},{"from":"fc:467","to":"erdos:467","kind":"derived_from","trust":"declared"},{"from":"fc:468","to":"erdos:468","kind":"derived_from","trust":"declared"},{"from":"fc:469","to":"erdos:469","kind":"derived_from","trust":"declared"},{"from":"fc:47","to":"erdos:47","kind":"derived_from","trust":"declared"},{"from":"fc:470","to":"erdos:470","kind":"derived_from","trust":"declared"},{"from":"fc:472","to":"erdos:472","kind":"derived_from","trust":"declared"},{"from":"fc:474","to":"erdos:474","kind":"derived_from","trust":"declared"},{"from":"fc:476","to":"erdos:476","kind":"derived_from","trust":"declared"},{"from":"fc:477","to":"erdos:477","kind":"derived_from","trust":"declared"},{"from":"fc:478","to":"erdos:478","kind":"derived_from","trust":"declared"},{"from":"fc:479","to":"erdos:479","kind":"derived_from","trust":"declared"},{"from":"fc:48","to":"erdos:48","kind":"derived_from","trust":"declared"},{"from":"fc:480","to":"erdos:480","kind":"derived_from","trust":"declared"},{"from":"fc:481","to":"erdos:481","kind":"derived_from","trust":"declared"},{"from":"fc:483","to":"erdos:483","kind":"derived_from","trust":"declared"},{"from":"fc:484","to":"erdos:484","kind":"derived_from","trust":"declared"},{"from":"fc:486","to":"erdos:486","kind":"derived_from","trust":"declared"},{"from":"fc:487","to":"erdos:487","kind":"derived_from","trust":"declared"},{"from":"fc:488","to":"erdos:488","kind":"derived_from","trust":"declared"},{"from":"fc:489","to":"erdos:489","kind":"derived_from","trust":"declared"},{"from":"fc:493","to":"erdos:493","kind":"derived_from","trust":"declared"},{"from":"fc:494","to":"erdos:494","kind":"derived_from","trust":"declared"},{"from":"fc:495","to":"erdos:495","kind":"derived_from","trust":"declared"},{"from":"fc:497","to":"erdos:497","kind":"derived_from","trust":"declared"},{"from":"fc:498","to":"erdos:498","kind":"derived_from","trust":"declared"},{"from":"fc:499","to":"erdos:499","kind":"derived_from","trust":"declared"},{"from":"fc:5","to":"erdos:5","kind":"derived_from","trust":"declared"},{"from":"fc:50","to":"erdos:50","kind":"derived_from","trust":"declared"},{"from":"fc:501","to":"erdos:501","kind":"derived_from","trust":"declared"},{"from":"fc:502","to":"erdos:502","kind":"derived_from","trust":"declared"},{"from":"fc:503","to":"erdos:503","kind":"derived_from","trust":"declared"},{"from":"fc:505","to":"erdos:505","kind":"derived_from","trust":"declared"},{"from":"fc:507","to":"erdos:507","kind":"derived_from","trust":"declared"},{"from":"fc:508","to":"erdos:508","kind":"derived_from","trust":"declared"},{"from":"fc:509","to":"erdos:509","kind":"derived_from","trust":"declared"},{"from":"fc:51","to":"erdos:51","kind":"derived_from","trust":"declared"},{"from":"fc:510","to":"erdos:510","kind":"derived_from","trust":"declared"},{"from":"fc:512","to":"erdos:512","kind":"derived_from","trust":"declared"},{"from":"fc:513","to":"erdos:513","kind":"derived_from","trust":"declared"},{"from":"fc:516","to":"erdos:516","kind":"derived_from","trust":"declared"},{"from":"fc:517","to":"erdos:517","kind":"derived_from","trust":"declared"},{"from":"fc:519","to":"erdos:519","kind":"derived_from","trust":"declared"},{"from":"fc:52","to":"erdos:52","kind":"derived_from","trust":"declared"},{"from":"fc:520","to":"erdos:520","kind":"derived_from","trust":"declared"},{"from":"fc:521","to":"erdos:521","kind":"derived_from","trust":"declared"},{"from":"fc:522","to":"erdos:522","kind":"derived_from","trust":"declared"},{"from":"fc:524","to":"erdos:524","kind":"derived_from","trust":"declared"},{"from":"fc:529","to":"erdos:529","kind":"derived_from","trust":"declared"},{"from":"fc:530","to":"erdos:530","kind":"derived_from","trust":"declared"},{"from":"fc:531","to":"erdos:531","kind":"derived_from","trust":"declared"},{"from":"fc:532","to":"erdos:532","kind":"derived_from","trust":"declared"},{"from":"fc:533","to":"erdos:533","kind":"derived_from","trust":"declared"},{"from":"fc:535","to":"erdos:535","kind":"derived_from","trust":"declared"},{"from":"fc:536","to":"erdos:536","kind":"derived_from","trust":"declared"},{"from":"fc:537","to":"erdos:537","kind":"derived_from","trust":"declared"},{"from":"fc:538","to":"erdos:538","kind":"derived_from","trust":"declared"},{"from":"fc:539","to":"erdos:539","kind":"derived_from","trust":"declared"},{"from":"fc:540","to":"erdos:540","kind":"derived_from","trust":"declared"},{"from":"fc:541","to":"erdos:541","kind":"derived_from","trust":"declared"},{"from":"fc:555","to":"erdos:555","kind":"derived_from","trust":"declared"},{"from":"fc:56","to":"erdos:56","kind":"derived_from","trust":"declared"},{"from":"fc:562","to":"erdos:562","kind":"derived_from","trust":"declared"},{"from":"fc:564","to":"erdos:564","kind":"derived_from","trust":"declared"},{"from":"fc:566","to":"erdos:566","kind":"derived_from","trust":"declared"},{"from":"fc:567","to":"erdos:567","kind":"derived_from","trust":"declared"},{"from":"fc:568","to":"erdos:568","kind":"derived_from","trust":"declared"},{"from":"fc:579","to":"erdos:579","kind":"derived_from","trust":"declared"},{"from":"fc:582","to":"erdos:582","kind":"derived_from","trust":"declared"},{"from":"fc:587","to":"erdos:587","kind":"derived_from","trust":"declared"},{"from":"fc:590","to":"erdos:590","kind":"derived_from","trust":"declared"},{"from":"fc:591","to":"erdos:591","kind":"derived_from","trust":"declared"},{"from":"fc:592","to":"erdos:592","kind":"derived_from","trust":"declared"},{"from":"fc:593","to":"erdos:593","kind":"derived_from","trust":"declared"},{"from":"fc:594","to":"erdos:594","kind":"derived_from","trust":"declared"},{"from":"fc:595","to":"erdos:595","kind":"derived_from","trust":"declared"},{"from":"fc:596","to":"erdos:596","kind":"derived_from","trust":"declared"},{"from":"fc:597","to":"erdos:597","kind":"derived_from","trust":"declared"},{"from":"fc:598","to":"erdos:598","kind":"derived_from","trust":"declared"},{"from":"fc:599","to":"erdos:599","kind":"derived_from","trust":"declared"},{"from":"fc:6","to":"erdos:6","kind":"derived_from","trust":"declared"},{"from":"fc:60","to":"erdos:60","kind":"derived_from","trust":"declared"},{"from":"fc:600","to":"erdos:600","kind":"derived_from","trust":"declared"},{"from":"fc:601","to":"erdos:601","kind":"derived_from","trust":"declared"},{"from":"fc:602","to":"erdos:602","kind":"derived_from","trust":"declared"},{"from":"fc:603","to":"erdos:603","kind":"derived_from","trust":"declared"},{"from":"fc:61","to":"erdos:61","kind":"derived_from","trust":"declared"},{"from":"fc:613","to":"erdos:613","kind":"derived_from","trust":"declared"},{"from":"fc:615","to":"erdos:615","kind":"derived_from","trust":"declared"},{"from":"fc:617","to":"erdos:617","kind":"derived_from","trust":"declared"},{"from":"fc:618","to":"erdos:618","kind":"derived_from","trust":"declared"},{"from":"fc:619","to":"erdos:619","kind":"derived_from","trust":"declared"},{"from":"fc:621","to":"erdos:621","kind":"derived_from","trust":"declared"},{"from":"fc:623","to":"erdos:623","kind":"derived_from","trust":"declared"},{"from":"fc:624","to":"erdos:624","kind":"derived_from","trust":"declared"},{"from":"fc:625","to":"erdos:625","kind":"derived_from","trust":"declared"},{"from":"fc:628","to":"erdos:628","kind":"derived_from","trust":"declared"},{"from":"fc:633","to":"erdos:633","kind":"derived_from","trust":"declared"},{"from":"fc:639","to":"erdos:639","kind":"derived_from","trust":"declared"},{"from":"fc:64","to":"erdos:64","kind":"derived_from","trust":"declared"},{"from":"fc:645","to":"erdos:645","kind":"derived_from","trust":"declared"},{"from":"fc:646","to":"erdos:646","kind":"derived_from","trust":"declared"},{"from":"fc:647","to":"erdos:647","kind":"derived_from","trust":"declared"},{"from":"fc:648","to":"erdos:648","kind":"derived_from","trust":"declared"},{"from":"fc:650","to":"erdos:650","kind":"derived_from","trust":"declared"},{"from":"fc:653","to":"erdos:653","kind":"derived_from","trust":"declared"},{"from":"fc:655","to":"erdos:655","kind":"derived_from","trust":"declared"},{"from":"fc:659","to":"erdos:659","kind":"derived_from","trust":"declared"},{"from":"fc:66","to":"erdos:66","kind":"derived_from","trust":"declared"},{"from":"fc:663","to":"erdos:663","kind":"derived_from","trust":"declared"},{"from":"fc:667","to":"erdos:667","kind":"derived_from","trust":"declared"},{"from":"fc:67","to":"erdos:67","kind":"derived_from","trust":"declared"},{"from":"fc:672","to":"erdos:672","kind":"derived_from","trust":"declared"},{"from":"fc:676","to":"erdos:676","kind":"derived_from","trust":"declared"},{"from":"fc:677","to":"erdos:677","kind":"derived_from","trust":"declared"},{"from":"fc:678","to":"erdos:678","kind":"derived_from","trust":"declared"},{"from":"fc:679","to":"erdos:679","kind":"derived_from","trust":"declared"},{"from":"fc:68","to":"erdos:68","kind":"derived_from","trust":"declared"},{"from":"fc:680","to":"erdos:680","kind":"derived_from","trust":"declared"},{"from":"fc:681","to":"erdos:681","kind":"derived_from","trust":"declared"},{"from":"fc:683","to":"erdos:683","kind":"derived_from","trust":"declared"},{"from":"fc:686","to":"erdos:686","kind":"derived_from","trust":"declared"},{"from":"fc:688","to":"erdos:688","kind":"derived_from","trust":"declared"},{"from":"fc:689","to":"erdos:689","kind":"derived_from","trust":"declared"},{"from":"fc:69","to":"erdos:69","kind":"derived_from","trust":"declared"},{"from":"fc:691","to":"erdos:691","kind":"derived_from","trust":"declared"},{"from":"fc:693","to":"erdos:693","kind":"derived_from","trust":"declared"},{"from":"fc:694","to":"erdos:694","kind":"derived_from","trust":"declared"},{"from":"fc:695","to":"erdos:695","kind":"derived_from","trust":"declared"},{"from":"fc:696","to":"erdos:696","kind":"derived_from","trust":"declared"},{"from":"fc:697","to":"erdos:697","kind":"derived_from","trust":"declared"},{"from":"fc:699","to":"erdos:699","kind":"derived_from","trust":"declared"},{"from":"fc:7","to":"erdos:7","kind":"derived_from","trust":"declared"},{"from":"fc:70","to":"erdos:70","kind":"derived_from","trust":"declared"},{"from":"fc:700","to":"erdos:700","kind":"derived_from","trust":"declared"},{"from":"fc:701","to":"erdos:701","kind":"derived_from","trust":"declared"},{"from":"fc:705","to":"erdos:705","kind":"derived_from","trust":"declared"},{"from":"fc:707","to":"erdos:707","kind":"derived_from","trust":"declared"},{"from":"fc:71","to":"erdos:71","kind":"derived_from","trust":"declared"},{"from":"fc:711","to":"erdos:711","kind":"derived_from","trust":"declared"},{"from":"fc:723","to":"erdos:723","kind":"derived_from","trust":"declared"},{"from":"fc:726","to":"erdos:726","kind":"derived_from","trust":"declared"},{"from":"fc:727","to":"erdos:727","kind":"derived_from","trust":"declared"},{"from":"fc:728","to":"erdos:728","kind":"derived_from","trust":"declared"},{"from":"fc:729","to":"erdos:729","kind":"derived_from","trust":"declared"},{"from":"fc:730","to":"erdos:730","kind":"derived_from","trust":"declared"},{"from":"fc:74","to":"erdos:74","kind":"derived_from","trust":"declared"},{"from":"fc:740","to":"erdos:740","kind":"derived_from","trust":"declared"},{"from":"fc:741","to":"erdos:741","kind":"derived_from","trust":"declared"},{"from":"fc:742","to":"erdos:742","kind":"derived_from","trust":"declared"},{"from":"fc:749","to":"erdos:749","kind":"derived_from","trust":"declared"},{"from":"fc:75","to":"erdos:75","kind":"derived_from","trust":"declared"},{"from":"fc:750","to":"erdos:750","kind":"derived_from","trust":"declared"},{"from":"fc:755","to":"erdos:755","kind":"derived_from","trust":"declared"},{"from":"fc:757","to":"erdos:757","kind":"derived_from","trust":"declared"},{"from":"fc:768","to":"erdos:768","kind":"derived_from","trust":"declared"},{"from":"fc:77","to":"erdos:77","kind":"derived_from","trust":"declared"},{"from":"fc:770","to":"erdos:770","kind":"derived_from","trust":"declared"},{"from":"fc:774","to":"erdos:774","kind":"derived_from","trust":"declared"},{"from":"fc:779","to":"erdos:779","kind":"derived_from","trust":"declared"},{"from":"fc:78","to":"erdos:78","kind":"derived_from","trust":"declared"},{"from":"fc:786","to":"erdos:786","kind":"derived_from","trust":"declared"},{"from":"fc:789","to":"erdos:789","kind":"derived_from","trust":"declared"},{"from":"fc:794","to":"erdos:794","kind":"derived_from","trust":"declared"},{"from":"fc:810","to":"erdos:810","kind":"derived_from","trust":"declared"},{"from":"fc:812","to":"erdos:812","kind":"derived_from","trust":"declared"},{"from":"fc:817","to":"erdos:817","kind":"derived_from","trust":"declared"},{"from":"fc:82","to":"erdos:82","kind":"derived_from","trust":"declared"},{"from":"fc:821","to":"erdos:821","kind":"derived_from","trust":"declared"},{"from":"fc:822","to":"erdos:822","kind":"derived_from","trust":"declared"},{"from":"fc:825","to":"erdos:825","kind":"derived_from","trust":"declared"},{"from":"fc:826","to":"erdos:826","kind":"derived_from","trust":"declared"},{"from":"fc:828","to":"erdos:828","kind":"derived_from","trust":"declared"},{"from":"fc:829","to":"erdos:829","kind":"derived_from","trust":"declared"},{"from":"fc:830","to":"erdos:830","kind":"derived_from","trust":"declared"},{"from":"fc:835","to":"erdos:835","kind":"derived_from","trust":"declared"},{"from":"fc:838","to":"erdos:838","kind":"derived_from","trust":"declared"},{"from":"fc:839","to":"erdos:839","kind":"derived_from","trust":"declared"},{"from":"fc:845","to":"erdos:845","kind":"derived_from","trust":"declared"},{"from":"fc:846","to":"erdos:846","kind":"derived_from","trust":"declared"},{"from":"fc:847","to":"erdos:847","kind":"derived_from","trust":"declared"},{"from":"fc:848","to":"erdos:848","kind":"derived_from","trust":"declared"},{"from":"fc:849","to":"erdos:849","kind":"derived_from","trust":"declared"},{"from":"fc:85","to":"erdos:85","kind":"derived_from","trust":"declared"},{"from":"fc:850","to":"erdos:850","kind":"derived_from","trust":"declared"},{"from":"fc:851","to":"erdos:851","kind":"derived_from","trust":"declared"},{"from":"fc:853","to":"erdos:853","kind":"derived_from","trust":"declared"},{"from":"fc:855","to":"erdos:855","kind":"derived_from","trust":"declared"},{"from":"fc:857","to":"erdos:857","kind":"derived_from","trust":"declared"},{"from":"fc:859","to":"erdos:859","kind":"derived_from","trust":"declared"},{"from":"fc:865","to":"erdos:865","kind":"derived_from","trust":"declared"},{"from":"fc:868","to":"erdos:868","kind":"derived_from","trust":"declared"},{"from":"fc:87","to":"erdos:87","kind":"derived_from","trust":"declared"},{"from":"fc:871","to":"erdos:871","kind":"derived_from","trust":"declared"},{"from":"fc:872","to":"erdos:872","kind":"derived_from","trust":"declared"},{"from":"fc:873","to":"erdos:873","kind":"derived_from","trust":"declared"},{"from":"fc:881","to":"erdos:881","kind":"derived_from","trust":"declared"},{"from":"fc:884","to":"erdos:884","kind":"derived_from","trust":"declared"},{"from":"fc:885","to":"erdos:885","kind":"derived_from","trust":"declared"},{"from":"fc:886","to":"erdos:886","kind":"derived_from","trust":"declared"},{"from":"fc:887","to":"erdos:887","kind":"derived_from","trust":"declared"},{"from":"fc:888","to":"erdos:888","kind":"derived_from","trust":"declared"},{"from":"fc:889","to":"erdos:889","kind":"derived_from","trust":"declared"},{"from":"fc:89","to":"erdos:89","kind":"derived_from","trust":"declared"},{"from":"fc:890","to":"erdos:890","kind":"derived_from","trust":"declared"},{"from":"fc:891","to":"erdos:891","kind":"derived_from","trust":"declared"},{"from":"fc:893","to":"erdos:893","kind":"derived_from","trust":"declared"},{"from":"fc:897","to":"erdos:897","kind":"derived_from","trust":"declared"},{"from":"fc:899","to":"erdos:899","kind":"derived_from","trust":"declared"},{"from":"fc:9","to":"erdos:9","kind":"derived_from","trust":"declared"},{"from":"fc:90","to":"erdos:90","kind":"derived_from","trust":"declared"},{"from":"fc:904","to":"erdos:904","kind":"derived_from","trust":"declared"},{"from":"fc:906","to":"erdos:906","kind":"derived_from","trust":"declared"},{"from":"fc:91","to":"erdos:91","kind":"derived_from","trust":"declared"},{"from":"fc:912","to":"erdos:912","kind":"derived_from","trust":"declared"},{"from":"fc:913","to":"erdos:913","kind":"derived_from","trust":"declared"},{"from":"fc:918","to":"erdos:918","kind":"derived_from","trust":"declared"},{"from":"fc:92","to":"erdos:92","kind":"derived_from","trust":"declared"},{"from":"fc:920","to":"erdos:920","kind":"derived_from","trust":"declared"},{"from":"fc:923","to":"erdos:923","kind":"derived_from","trust":"declared"},{"from":"fc:93","to":"erdos:93","kind":"derived_from","trust":"declared"},{"from":"fc:930","to":"erdos:930","kind":"derived_from","trust":"declared"},{"from":"fc:931","to":"erdos:931","kind":"derived_from","trust":"declared"},{"from":"fc:932","to":"erdos:932","kind":"derived_from","trust":"declared"},{"from":"fc:933","to":"erdos:933","kind":"derived_from","trust":"declared"},{"from":"fc:936","to":"erdos:936","kind":"derived_from","trust":"declared"},{"from":"fc:937","to":"erdos:937","kind":"derived_from","trust":"declared"},{"from":"fc:938","to":"erdos:938","kind":"derived_from","trust":"declared"},{"from":"fc:939","to":"erdos:939","kind":"derived_from","trust":"declared"},{"from":"fc:940","to":"erdos:940","kind":"derived_from","trust":"declared"},{"from":"fc:942","to":"erdos:942","kind":"derived_from","trust":"declared"},{"from":"fc:943","to":"erdos:943","kind":"derived_from","trust":"declared"},{"from":"fc:944","to":"erdos:944","kind":"derived_from","trust":"declared"},{"from":"fc:945","to":"erdos:945","kind":"derived_from","trust":"declared"},{"from":"fc:946","to":"erdos:946","kind":"derived_from","trust":"declared"},{"from":"fc:948","to":"erdos:948","kind":"derived_from","trust":"declared"},{"from":"fc:949","to":"erdos:949","kind":"derived_from","trust":"declared"},{"from":"fc:950","to":"erdos:950","kind":"derived_from","trust":"declared"},{"from":"fc:951","to":"erdos:951","kind":"derived_from","trust":"declared"},{"from":"fc:952","to":"erdos:952","kind":"derived_from","trust":"declared"},{"from":"fc:953","to":"erdos:953","kind":"derived_from","trust":"declared"},{"from":"fc:955","to":"erdos:955","kind":"derived_from","trust":"declared"},{"from":"fc:96","to":"erdos:96","kind":"derived_from","trust":"declared"},{"from":"fc:961","to":"erdos:961","kind":"derived_from","trust":"declared"},{"from":"fc:962","to":"erdos:962","kind":"derived_from","trust":"declared"},{"from":"fc:965","to":"erdos:965","kind":"derived_from","trust":"declared"},{"from":"fc:968","to":"erdos:968","kind":"derived_from","trust":"declared"},{"from":"fc:969","to":"erdos:969","kind":"derived_from","trust":"declared"},{"from":"fc:97","to":"erdos:97","kind":"derived_from","trust":"declared"},{"from":"fc:971","to":"erdos:971","kind":"derived_from","trust":"declared"},{"from":"fc:972","to":"erdos:972","kind":"derived_from","trust":"declared"},{"from":"fc:973","to":"erdos:973","kind":"derived_from","trust":"declared"},{"from":"fc:975","to":"erdos:975","kind":"derived_from","trust":"declared"},{"from":"fc:978","to":"erdos:978","kind":"derived_from","trust":"declared"},{"from":"fc:979","to":"erdos:979","kind":"derived_from","trust":"declared"},{"from":"fc:98","to":"erdos:98","kind":"derived_from","trust":"declared"},{"from":"fc:982","to":"erdos:982","kind":"derived_from","trust":"declared"},{"from":"fc:985","to":"erdos:985","kind":"derived_from","trust":"declared"},{"from":"fc:986","to":"erdos:986","kind":"derived_from","trust":"declared"},{"from":"fc:987","to":"erdos:987","kind":"derived_from","trust":"declared"},{"from":"fc:99","to":"erdos:99","kind":"derived_from","trust":"declared"},{"from":"fc:993","to":"erdos:993","kind":"derived_from","trust":"declared"},{"from":"fc:996","to":"erdos:996","kind":"derived_from","trust":"declared"},{"from":"fc:997","to":"erdos:997","kind":"derived_from","trust":"declared"},{"from":"proof:jayyhk:1000","to":"erdos:1000","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1000","to":"proof:plby:1000","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1007","to":"erdos:1007","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1007","to":"proof:plby:1007","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1008","to":"erdos:1008","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1008","to":"proof:plby:1008","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1014","to":"erdos:1014","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1014","to":"proof:plby:1014","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1022","to":"erdos:1022","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1022","to":"proof:plby:1022","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1023","to":"erdos:1023","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1023","to":"proof:plby:1023","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1026","to":"erdos:1026","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1026","to":"proof:plby:1026","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1028","to":"erdos:1028","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1028","to":"proof:plby:1028","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1034","to":"erdos:1034","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1034","to":"proof:plby:1034","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1036","to":"erdos:1036","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1036","to":"proof:plby:1036","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1037","to":"erdos:1037","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1037","to":"proof:plby:1037","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1043","to":"erdos:1043","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1043","to":"proof:plby:1043","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1044","to":"erdos:1044","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1044","to":"proof:plby:1044","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1047","to":"erdos:1047","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1047","to":"proof:plby:1047","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1048","to":"erdos:1048","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1048","to":"proof:plby:1048","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:105","to":"erdos:105","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:105","to":"proof:plby:105","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1051","to":"erdos:1051","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1051","to":"proof:plby:1051","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1067","to":"erdos:1067","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1067","to":"proof:plby:1067","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1071","to":"erdos:1071","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1080","to":"erdos:1080","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1080","to":"proof:plby:1080","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1090","to":"erdos:1090","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1090","to":"proof:plby:1090","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1098","to":"erdos:1098","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1098","to":"proof:plby:1098","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1102","to":"erdos:1102","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1121","to":"erdos:1121","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1121","to":"proof:plby:1121","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1125","to":"erdos:1125","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1125","to":"proof:plby:1125","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1126","to":"erdos:1126","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1126","to":"proof:plby:1126","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1134","to":"erdos:1134","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1136","to":"erdos:1136","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1136","to":"proof:plby:1136","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1138","to":"erdos:1138","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1138","to":"proof:plby:1138","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1141","to":"proof:plby:1141","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1148","to":"proof:plby:1148","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:115","to":"erdos:115","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:115","to":"proof:plby:115","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1190","to":"erdos:1190","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1190","to":"proof:plby:1190","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1193","to":"erdos:1193","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1193","to":"proof:plby:1193","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1196","to":"erdos:1196","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1196","to":"proof:plby:1196","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:1197","to":"erdos:1197","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:1197","to":"proof:plby:1197","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:125","to":"erdos:125","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:125","to":"proof:plby:125","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:134","to":"erdos:134","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:134","to":"proof:plby:134","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:150","to":"erdos:150","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:150","to":"proof:plby:150","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:154","to":"erdos:154","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:154","to":"proof:plby:154","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:16","to":"erdos:16","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:16","to":"proof:plby:16","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:164","to":"erdos:164","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:164","to":"proof:plby:164","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:178","to":"erdos:178","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:178","to":"proof:plby:178","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:189","to":"erdos:189","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:189","to":"proof:plby:189","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:194","to":"erdos:194","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:194","to":"proof:plby:194","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:198","to":"erdos:198","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:198","to":"proof:plby:198","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:199","to":"erdos:199","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:199","to":"proof:plby:199","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:202","to":"erdos:202","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:204","to":"erdos:204","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:204","to":"proof:plby:204","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:205","to":"erdos:205","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:205","to":"proof:plby:205","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:206","to":"erdos:206","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:209","to":"erdos:209","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:214","to":"erdos:214","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:214","to":"proof:plby:214","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:221","to":"erdos:221","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:221","to":"proof:plby:221","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:224","to":"erdos:224","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:224","to":"proof:plby:224","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:226","to":"erdos:226","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:226","to":"proof:plby:226","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:229","to":"erdos:229","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:229","to":"proof:plby:229","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:237","to":"proof:plby:237","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:24","to":"erdos:24","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:24","to":"proof:plby:24","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:246","to":"erdos:246","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:246","to":"proof:plby:246","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:258","to":"proof:plby:258","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:259","to":"erdos:259","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:259","to":"proof:plby:259","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:26","to":"erdos:26","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:268","to":"erdos:268","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:268","to":"proof:plby:268","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:275","to":"erdos:275","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:275","to":"proof:plby:275","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:280","to":"erdos:280","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:280","to":"proof:plby:280","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:281","to":"erdos:281","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:281","to":"proof:plby:281","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:283","to":"erdos:283","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:283","to":"proof:plby:283","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:290","to":"erdos:290","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:290","to":"proof:plby:290","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:296","to":"erdos:296","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:296","to":"proof:plby:296","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:298","to":"erdos:298","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:298","to":"proof:plby:298","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:299","to":"erdos:299","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:299","to":"proof:plby:299","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:303","to":"erdos:303","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:303","to":"proof:plby:303","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:31","to":"erdos:31","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:31","to":"proof:plby:31","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:314","to":"erdos:314","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:314","to":"proof:plby:314","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:315","to":"erdos:315","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:315","to":"proof:plby:315","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:316","to":"erdos:316","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:316","to":"proof:plby:316","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:328","to":"erdos:328","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:330","to":"erdos:330","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:331","to":"erdos:331","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:331","to":"proof:plby:331","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:333","to":"erdos:333","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:333","to":"proof:plby:333","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:337","to":"erdos:337","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:337","to":"proof:plby:337","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:34","to":"erdos:34","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:34","to":"proof:plby:34","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:347","to":"erdos:347","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:347","to":"proof:plby:347","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:350","to":"erdos:350","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:350","to":"proof:plby:350","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:351","to":"erdos:351","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:351","to":"proof:plby:351","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:353","to":"erdos:353","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:355","to":"erdos:355","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:355","to":"proof:plby:355","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:363","to":"erdos:363","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:363","to":"proof:plby:363","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:369","to":"erdos:369","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:369","to":"proof:plby:369","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:370","to":"erdos:370","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:370","to":"proof:plby:370","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:379","to":"erdos:379","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:379","to":"proof:plby:379","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:38","to":"erdos:38","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:38","to":"proof:plby:38","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:392","to":"erdos:392","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:392","to":"proof:plby:392","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:397","to":"erdos:397","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:397","to":"proof:plby:397","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:399","to":"erdos:399","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:399","to":"proof:plby:399","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:401","to":"erdos:401","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:401","to":"proof:plby:401","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:403","to":"erdos:403","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:418","to":"proof:plby:418","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:419","to":"erdos:419","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:419","to":"proof:plby:419","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:42","to":"erdos:42","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:42","to":"proof:plby:42","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:426","to":"erdos:426","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:427","to":"proof:plby:427","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:429","to":"erdos:429","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:429","to":"proof:plby:429","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:433","to":"erdos:433","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:433","to":"proof:plby:433","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:434","to":"erdos:434","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:434","to":"proof:plby:434","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:435","to":"erdos:435","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:435","to":"proof:plby:435","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:443","to":"erdos:443","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:443","to":"proof:plby:443","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:447","to":"erdos:447","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:447","to":"proof:plby:447","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:45","to":"erdos:45","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:45","to":"proof:plby:45","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:453","to":"erdos:453","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:453","to":"proof:plby:453","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:457","to":"erdos:457","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:457","to":"proof:plby:457","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:459","to":"erdos:459","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:459","to":"proof:plby:459","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:46","to":"erdos:46","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:46","to":"proof:plby:46","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:464","to":"erdos:464","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:47","to":"erdos:47","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:47","to":"proof:plby:47","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:476","to":"erdos:476","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:476","to":"proof:plby:476","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:481","to":"erdos:481","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:481","to":"proof:plby:481","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:484","to":"erdos:484","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:484","to":"proof:plby:484","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:487","to":"erdos:487","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:487","to":"proof:plby:487","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:493","to":"erdos:493","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:493","to":"proof:plby:493","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:497","to":"erdos:497","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:497","to":"proof:plby:497","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:498","to":"erdos:498","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:498","to":"proof:plby:498","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:499","to":"erdos:499","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:499","to":"proof:plby:499","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:502","to":"erdos:502","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:502","to":"proof:plby:502","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:505","to":"erdos:505","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:505","to":"proof:plby:505","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:512","to":"erdos:512","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:519","to":"erdos:519","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:519","to":"proof:plby:519","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:532","to":"erdos:532","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:532","to":"proof:plby:532","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:537","to":"erdos:537","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:537","to":"proof:plby:537","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:540","to":"erdos:540","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:540","to":"proof:plby:540","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:541","to":"erdos:541","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:541","to":"proof:plby:541","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:56","to":"erdos:56","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:56","to":"proof:plby:56","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:582","to":"erdos:582","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:582","to":"proof:plby:582","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:613","to":"erdos:613","kind":"supports","trust":"machine"},{"from":"proof:jayyhk:618","to":"erdos:618","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:618","to":"proof:plby:618","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:619","to":"erdos:619","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:621","to":"erdos:621","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:639","to":"erdos:639","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:645","to":"erdos:645","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:645","to":"proof:plby:645","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:646","to":"erdos:646","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:646","to":"proof:plby:646","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:648","to":"erdos:648","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:648","to":"proof:plby:648","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:649","to":"erdos:649","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:649","to":"proof:plby:649","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:650","to":"erdos:650","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:650","to":"proof:plby:650","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:658","to":"proof:plby:658","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:659","to":"proof:plby:659","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:666","to":"erdos:666","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:666","to":"proof:plby:666","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:674","to":"erdos:674","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:674","to":"proof:plby:674","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:678","to":"erdos:678","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:678","to":"proof:plby:678","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:692","to":"erdos:692","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:692","to":"proof:plby:692","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:694","to":"proof:plby:694","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:698","to":"erdos:698","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:698","to":"proof:plby:698","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:707","to":"erdos:707","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:707","to":"proof:plby:707","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:71","to":"erdos:71","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:716","to":"erdos:716","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:728","to":"erdos:728","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:728","to":"proof:plby:728","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:729","to":"erdos:729","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:729","to":"proof:plby:729","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:741","to":"erdos:741","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:741","to":"proof:plby:741","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:751","to":"erdos:751","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:753","to":"erdos:753","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:753","to":"proof:plby:753","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:756","to":"erdos:756","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:756","to":"proof:plby:756","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:760","to":"erdos:760","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:762","to":"erdos:762","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:762","to":"proof:plby:762","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:765","to":"erdos:765","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:775","to":"erdos:775","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:775","to":"proof:plby:775","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:785","to":"erdos:785","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:785","to":"proof:plby:785","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:794","to":"erdos:794","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:794","to":"proof:plby:794","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:798","to":"erdos:798","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:798","to":"proof:plby:798","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:818","to":"erdos:818","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:818","to":"proof:plby:818","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:844","to":"erdos:844","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:844","to":"proof:plby:844","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:845","to":"erdos:845","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:845","to":"proof:plby:845","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:846","to":"erdos:846","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:846","to":"proof:plby:846","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:862","to":"erdos:862","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:862","to":"proof:plby:862","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:867","to":"erdos:867","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:867","to":"proof:plby:867","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:871","to":"erdos:871","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:871","to":"proof:plby:871","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:897","to":"erdos:897","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:898","to":"erdos:898","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:898","to":"proof:plby:898","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:90","to":"cond:golod-shafarevich","kind":"depends_on","trust":"machine"},{"from":"proof:jayyhk:90","to":"erdos:90","kind":"supports","trust":"machine"},{"from":"proof:jayyhk:904","to":"erdos:904","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:905","to":"erdos:905","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:907","to":"erdos:907","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:907","to":"proof:plby:907","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:914","to":"erdos:914","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:923","to":"erdos:923","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:927","to":"erdos:927","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:93","to":"erdos:93","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:93","to":"proof:plby:93","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:94","to":"erdos:94","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:94","to":"proof:plby:94","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:947","to":"erdos:947","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:947","to":"proof:plby:947","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:958","to":"erdos:958","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:958","to":"proof:plby:958","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:964","to":"proof:plby:964","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:966","to":"erdos:966","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:966","to":"proof:plby:966","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:967","to":"erdos:967","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:967","to":"proof:plby:967","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:974","to":"erdos:974","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:990","to":"erdos:990","kind":"supports","trust":"declared"},{"from":"proof:jayyhk:990","to":"proof:plby:990","kind":"replicates","trust":"machine"},{"from":"proof:jayyhk:997","to":"proof:plby:997","kind":"replicates","trust":"machine"},{"from":"proof:plby:1000","to":"erdos:1000","kind":"supports","trust":"machine"},{"from":"proof:plby:1007","to":"erdos:1007","kind":"supports","trust":"machine"},{"from":"proof:plby:1008","to":"erdos:1008","kind":"supports","trust":"machine"},{"from":"proof:plby:1014","to":"erdos:1014","kind":"supports","trust":"machine"},{"from":"proof:plby:1022","to":"erdos:1022","kind":"supports","trust":"machine"},{"from":"proof:plby:1023","to":"erdos:1023","kind":"supports","trust":"machine"},{"from":"proof:plby:1026","to":"erdos:1026","kind":"supports","trust":"machine"},{"from":"proof:plby:1028","to":"erdos:1028","kind":"supports","trust":"machine"},{"from":"proof:plby:1034","to":"erdos:1034","kind":"supports","trust":"machine"},{"from":"proof:plby:1036","to":"erdos:1036","kind":"supports","trust":"machine"},{"from":"proof:plby:1037","to":"erdos:1037","kind":"supports","trust":"machine"},{"from":"proof:plby:1043","to":"erdos:1043","kind":"supports","trust":"machine"},{"from":"proof:plby:1044","to":"erdos:1044","kind":"supports","trust":"machine"},{"from":"proof:plby:1047","to":"erdos:1047","kind":"supports","trust":"machine"},{"from":"proof:plby:1048","to":"erdos:1048","kind":"supports","trust":"machine"},{"from":"proof:plby:105","to":"erdos:105","kind":"supports","trust":"machine"},{"from":"proof:plby:1051","to":"erdos:1051","kind":"supports","trust":"machine"},{"from":"proof:plby:1056","to":"erdos:1056","kind":"supports","trust":"machine"},{"from":"proof:plby:1067","to":"erdos:1067","kind":"supports","trust":"machine"},{"from":"proof:plby:1071","to":"erdos:1071","kind":"supports","trust":"declared"},{"from":"proof:plby:1080","to":"cond:is_adjacent","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1080","to":"cond:zero_Point","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1080","to":"erdos:1080","kind":"supports","trust":"machine"},{"from":"proof:plby:1090","to":"erdos:1090","kind":"supports","trust":"machine"},{"from":"proof:plby:1095","to":"erdos:1095","kind":"supports","trust":"machine"},{"from":"proof:plby:1098","to":"erdos:1098","kind":"supports","trust":"machine"},{"from":"proof:plby:1100","to":"cond:PNT_statement","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1100","to":"erdos:1100","kind":"supports","trust":"machine"},{"from":"proof:plby:1102","to":"erdos:1102","kind":"supports","trust":"declared"},{"from":"proof:plby:1121","to":"cond:CirclesNonseparable","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1121","to":"erdos:1121","kind":"supports","trust":"machine"},{"from":"proof:plby:1125","to":"erdos:1125","kind":"supports","trust":"machine"},{"from":"proof:plby:1126","to":"erdos:1126","kind":"supports","trust":"machine"},{"from":"proof:plby:1136","to":"erdos:1136","kind":"supports","trust":"machine"},{"from":"proof:plby:1138","to":"erdos:1138","kind":"supports","trust":"machine"},{"from":"proof:plby:1141","to":"cond:Pollack17.theorem_1_3","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1141","to":"erdos:1141","kind":"supports","trust":"machine"},{"from":"proof:plby:1148","to":"cond:DukeTheoremStatement","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1148","to":"erdos:1148","kind":"supports","trust":"machine"},{"from":"proof:plby:115","to":"cond:EremenkoLempertAtZeroStatement","kind":"depends_on","trust":"machine"},{"from":"proof:plby:115","to":"erdos:115","kind":"supports","trust":"machine"},{"from":"proof:plby:1187","to":"cond:Prime","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1187","to":"erdos:1187","kind":"supports","trust":"machine"},{"from":"proof:plby:1190","to":"erdos:1190","kind":"supports","trust":"machine"},{"from":"proof:plby:1193","to":"erdos:1193","kind":"supports","trust":"machine"},{"from":"proof:plby:1196","to":"erdos:1196","kind":"supports","trust":"machine"},{"from":"proof:plby:1197","to":"cond:bm_approx_data","kind":"depends_on","trust":"machine"},{"from":"proof:plby:1197","to":"erdos:1197","kind":"supports","trust":"machine"},{"from":"proof:plby:124","to":"erdos:124","kind":"supports","trust":"machine"},{"from":"proof:plby:125","to":"erdos:125","kind":"supports","trust":"machine"},{"from":"proof:plby:134","to":"erdos:134","kind":"supports","trust":"machine"},{"from":"proof:plby:150","to":"erdos:150","kind":"supports","trust":"machine"},{"from":"proof:plby:154","to":"erdos:154","kind":"supports","trust":"machine"},{"from":"proof:plby:16","to":"erdos:16","kind":"supports","trust":"machine"},{"from":"proof:plby:164","to":"erdos:164","kind":"supports","trust":"machine"},{"from":"proof:plby:178","to":"erdos:178","kind":"supports","trust":"machine"},{"from":"proof:plby:189","to":"erdos:189","kind":"supports","trust":"machine"},{"from":"proof:plby:194","to":"erdos:194","kind":"supports","trust":"machine"},{"from":"proof:plby:198","to":"erdos:198","kind":"supports","trust":"machine"},{"from":"proof:plby:199","to":"erdos:199","kind":"supports","trust":"machine"},{"from":"proof:plby:202","to":"erdos:202","kind":"supports","trust":"declared"},{"from":"proof:plby:204","to":"erdos:204","kind":"supports","trust":"machine"},{"from":"proof:plby:205","to":"erdos:205","kind":"supports","trust":"machine"},{"from":"proof:plby:206","to":"erdos:206","kind":"supports","trust":"declared"},{"from":"proof:plby:214","to":"erdos:214","kind":"supports","trust":"machine"},{"from":"proof:plby:221","to":"erdos:221","kind":"supports","trust":"machine"},{"from":"proof:plby:224","to":"cond:NoObtuse","kind":"depends_on","trust":"machine"},{"from":"proof:plby:224","to":"erdos:224","kind":"supports","trust":"machine"},{"from":"proof:plby:226","to":"erdos:226","kind":"supports","trust":"machine"},{"from":"proof:plby:229","to":"erdos:229","kind":"supports","trust":"machine"},{"from":"proof:plby:237","to":"cond:maynard-tao","kind":"depends_on","trust":"machine"},{"from":"proof:plby:237","to":"erdos:237","kind":"supports","trust":"machine"},{"from":"proof:plby:24","to":"erdos:24","kind":"supports","trust":"machine"},{"from":"proof:plby:246","to":"erdos:246","kind":"supports","trust":"machine"},{"from":"proof:plby:258","to":"cond:tao_teravainen","kind":"depends_on","trust":"machine"},{"from":"proof:plby:258","to":"erdos:258","kind":"supports","trust":"machine"},{"from":"proof:plby:259","to":"erdos:259","kind":"supports","trust":"machine"},{"from":"proof:plby:26","to":"erdos:26","kind":"supports","trust":"declared"},{"from":"proof:plby:264","to":"erdos:264","kind":"supports","trust":"machine"},{"from":"proof:plby:268","to":"erdos:268","kind":"supports","trust":"machine"},{"from":"proof:plby:275","to":"erdos:275","kind":"supports","trust":"machine"},{"from":"proof:plby:280","to":"erdos:280","kind":"supports","trust":"machine"},{"from":"proof:plby:281","to":"cond:Erdos281Hyp","kind":"depends_on","trust":"machine"},{"from":"proof:plby:281","to":"erdos:281","kind":"supports","trust":"machine"},{"from":"proof:plby:283","to":"erdos:283","kind":"supports","trust":"machine"},{"from":"proof:plby:290","to":"erdos:290","kind":"supports","trust":"machine"},{"from":"proof:plby:291","to":"erdos:291","kind":"supports","trust":"machine"},{"from":"proof:plby:296","to":"erdos:296","kind":"supports","trust":"machine"},{"from":"proof:plby:298","to":"erdos:298","kind":"supports","trust":"machine"},{"from":"proof:plby:299","to":"erdos:299","kind":"supports","trust":"machine"},{"from":"proof:plby:303","to":"erdos:303","kind":"supports","trust":"machine"},{"from":"proof:plby:31","to":"erdos:31","kind":"supports","trust":"machine"},{"from":"proof:plby:314","to":"erdos:314","kind":"supports","trust":"machine"},{"from":"proof:plby:315","to":"erdos:315","kind":"supports","trust":"machine"},{"from":"proof:plby:316","to":"erdos:316","kind":"supports","trust":"machine"},{"from":"proof:plby:331","to":"erdos:331","kind":"supports","trust":"machine"},{"from":"proof:plby:333","to":"erdos:333","kind":"supports","trust":"machine"},{"from":"proof:plby:337","to":"erdos:337","kind":"supports","trust":"machine"},{"from":"proof:plby:34","to":"erdos:34","kind":"supports","trust":"machine"},{"from":"proof:plby:347","to":"erdos:347","kind":"supports","trust":"machine"},{"from":"proof:plby:350","to":"cond:DecidableDistinctSubsetSums","kind":"depends_on","trust":"machine"},{"from":"proof:plby:350","to":"erdos:350","kind":"supports","trust":"machine"},{"from":"proof:plby:351","to":"erdos:351","kind":"supports","trust":"machine"},{"from":"proof:plby:355","to":"erdos:355","kind":"supports","trust":"machine"},{"from":"proof:plby:363","to":"erdos:363","kind":"supports","trust":"machine"},{"from":"proof:plby:367","to":"erdos:367","kind":"supports","trust":"machine"},{"from":"proof:plby:368","to":"erdos:368","kind":"supports","trust":"machine"},{"from":"proof:plby:369","to":"erdos:369","kind":"supports","trust":"machine"},{"from":"proof:plby:370","to":"erdos:370","kind":"supports","trust":"machine"},{"from":"proof:plby:379","to":"erdos:379","kind":"supports","trust":"machine"},{"from":"proof:plby:38","to":"erdos:38","kind":"supports","trust":"machine"},{"from":"proof:plby:392","to":"erdos:392","kind":"supports","trust":"machine"},{"from":"proof:plby:397","to":"erdos:397","kind":"supports","trust":"machine"},{"from":"proof:plby:399","to":"erdos:399","kind":"supports","trust":"machine"},{"from":"proof:plby:401","to":"erdos:401","kind":"supports","trust":"machine"},{"from":"proof:plby:418","to":"cond:native_decide","kind":"depends_on","trust":"machine"},{"from":"proof:plby:418","to":"erdos:418","kind":"supports","trust":"machine"},{"from":"proof:plby:419","to":"erdos:419","kind":"supports","trust":"machine"},{"from":"proof:plby:42","to":"erdos:42","kind":"supports","trust":"machine"},{"from":"proof:plby:426","to":"erdos:426","kind":"supports","trust":"declared"},{"from":"proof:plby:427","to":"cond:shiu_consecutive_primes","kind":"depends_on","trust":"machine"},{"from":"proof:plby:427","to":"erdos:427","kind":"supports","trust":"machine"},{"from":"proof:plby:429","to":"erdos:429","kind":"supports","trust":"machine"},{"from":"proof:plby:433","to":"cond:Finset.add_kneser","kind":"depends_on","trust":"machine"},{"from":"proof:plby:433","to":"erdos:433","kind":"supports","trust":"machine"},{"from":"proof:plby:434","to":"cond:Finset.add_kneser","kind":"depends_on","trust":"machine"},{"from":"proof:plby:434","to":"erdos:434","kind":"supports","trust":"machine"},{"from":"proof:plby:435","to":"erdos:435","kind":"supports","trust":"machine"},{"from":"proof:plby:443","to":"erdos:443","kind":"supports","trust":"machine"},{"from":"proof:plby:447","to":"erdos:447","kind":"supports","trust":"machine"},{"from":"proof:plby:45","to":"erdos:45","kind":"supports","trust":"machine"},{"from":"proof:plby:453","to":"erdos:453","kind":"supports","trust":"machine"},{"from":"proof:plby:457","to":"erdos:457","kind":"supports","trust":"machine"},{"from":"proof:plby:459","to":"erdos:459","kind":"supports","trust":"machine"},{"from":"proof:plby:46","to":"erdos:46","kind":"supports","trust":"machine"},{"from":"proof:plby:47","to":"erdos:47","kind":"supports","trust":"machine"},{"from":"proof:plby:476","to":"erdos:476","kind":"supports","trust":"machine"},{"from":"proof:plby:481","to":"erdos:481","kind":"supports","trust":"machine"},{"from":"proof:plby:484","to":"erdos:484","kind":"supports","trust":"machine"},{"from":"proof:plby:485","to":"erdos:485","kind":"supports","trust":"machine"},{"from":"proof:plby:487","to":"erdos:487","kind":"supports","trust":"machine"},{"from":"proof:plby:493","to":"erdos:493","kind":"supports","trust":"machine"},{"from":"proof:plby:497","to":"erdos:497","kind":"supports","trust":"machine"},{"from":"proof:plby:498","to":"erdos:498","kind":"supports","trust":"machine"},{"from":"proof:plby:499","to":"erdos:499","kind":"supports","trust":"machine"},{"from":"proof:plby:502","to":"erdos:502","kind":"supports","trust":"machine"},{"from":"proof:plby:505","to":"erdos:505","kind":"supports","trust":"machine"},{"from":"proof:plby:519","to":"erdos:519","kind":"supports","trust":"machine"},{"from":"proof:plby:532","to":"erdos:532","kind":"supports","trust":"machine"},{"from":"proof:plby:537","to":"erdos:537","kind":"supports","trust":"machine"},{"from":"proof:plby:540","to":"erdos:540","kind":"supports","trust":"machine"},{"from":"proof:plby:541","to":"erdos:541","kind":"supports","trust":"machine"},{"from":"proof:plby:56","to":"erdos:56","kind":"supports","trust":"machine"},{"from":"proof:plby:582","to":"erdos:582","kind":"supports","trust":"machine"},{"from":"proof:plby:613","to":"erdos:613","kind":"supports","trust":"declared"},{"from":"proof:plby:613","to":"proof:jayyhk:613","kind":"replicates","trust":"machine"},{"from":"proof:plby:618","to":"erdos:618","kind":"supports","trust":"machine"},{"from":"proof:plby:621","to":"erdos:621","kind":"supports","trust":"declared"},{"from":"proof:plby:639","to":"erdos:639","kind":"supports","trust":"declared"},{"from":"proof:plby:645","to":"erdos:645","kind":"supports","trust":"machine"},{"from":"proof:plby:646","to":"erdos:646","kind":"supports","trust":"machine"},{"from":"proof:plby:648","to":"erdos:648","kind":"supports","trust":"machine"},{"from":"proof:plby:649","to":"erdos:649","kind":"supports","trust":"machine"},{"from":"proof:plby:650","to":"erdos:650","kind":"supports","trust":"machine"},{"from":"proof:plby:658","to":"erdos:658","kind":"supports","trust":"machine"},{"from":"proof:plby:659","to":"cond:bernays","kind":"depends_on","trust":"machine"},{"from":"proof:plby:659","to":"erdos:659","kind":"supports","trust":"machine"},{"from":"proof:plby:666","to":"erdos:666","kind":"supports","trust":"machine"},{"from":"proof:plby:674","to":"erdos:674","kind":"supports","trust":"machine"},{"from":"proof:plby:678","to":"erdos:678","kind":"supports","trust":"machine"},{"from":"proof:plby:692","to":"erdos:692","kind":"supports","trust":"machine"},{"from":"proof:plby:694","to":"cond:linnik_dvd","kind":"depends_on","trust":"machine"},{"from":"proof:plby:694","to":"cond:mertens_product","kind":"depends_on","trust":"machine"},{"from":"proof:plby:694","to":"erdos:694","kind":"supports","trust":"machine"},{"from":"proof:plby:698","to":"erdos:698","kind":"supports","trust":"machine"},{"from":"proof:plby:707","to":"erdos:707","kind":"supports","trust":"machine"},{"from":"proof:plby:728","to":"erdos:728","kind":"supports","trust":"machine"},{"from":"proof:plby:729","to":"erdos:729","kind":"supports","trust":"machine"},{"from":"proof:plby:741","to":"erdos:741","kind":"supports","trust":"machine"},{"from":"proof:plby:751","to":"erdos:751","kind":"supports","trust":"declared"},{"from":"proof:plby:753","to":"erdos:753","kind":"supports","trust":"machine"},{"from":"proof:plby:756","to":"erdos:756","kind":"supports","trust":"machine"},{"from":"proof:plby:760","to":"erdos:760","kind":"supports","trust":"declared"},{"from":"proof:plby:762","to":"erdos:762","kind":"supports","trust":"machine"},{"from":"proof:plby:775","to":"erdos:775","kind":"supports","trust":"machine"},{"from":"proof:plby:785","to":"cond:exact_complements","kind":"depends_on","trust":"machine"},{"from":"proof:plby:785","to":"erdos:785","kind":"supports","trust":"machine"},{"from":"proof:plby:794","to":"erdos:794","kind":"supports","trust":"machine"},{"from":"proof:plby:798","to":"erdos:798","kind":"supports","trust":"machine"},{"from":"proof:plby:818","to":"erdos:818","kind":"supports","trust":"machine"},{"from":"proof:plby:844","to":"erdos:844","kind":"supports","trust":"machine"},{"from":"proof:plby:845","to":"erdos:845","kind":"supports","trust":"machine"},{"from":"proof:plby:846","to":"erdos:846","kind":"supports","trust":"machine"},{"from":"proof:plby:862","to":"erdos:862","kind":"supports","trust":"machine"},{"from":"proof:plby:866","to":"erdos:866","kind":"supports","trust":"machine"},{"from":"proof:plby:867","to":"erdos:867","kind":"supports","trust":"machine"},{"from":"proof:plby:871","to":"erdos:871","kind":"supports","trust":"machine"},{"from":"proof:plby:897","to":"erdos:897","kind":"supports","trust":"declared"},{"from":"proof:plby:898","to":"erdos:898","kind":"supports","trust":"machine"},{"from":"proof:plby:904","to":"erdos:904","kind":"supports","trust":"declared"},{"from":"proof:plby:905","to":"erdos:905","kind":"supports","trust":"declared"},{"from":"proof:plby:907","to":"erdos:907","kind":"supports","trust":"machine"},{"from":"proof:plby:914","to":"erdos:914","kind":"supports","trust":"declared"},{"from":"proof:plby:923","to":"erdos:923","kind":"supports","trust":"declared"},{"from":"proof:plby:93","to":"erdos:93","kind":"supports","trust":"machine"},{"from":"proof:plby:94","to":"cond:ConvexPosition","kind":"depends_on","trust":"machine"},{"from":"proof:plby:94","to":"erdos:94","kind":"supports","trust":"machine"},{"from":"proof:plby:947","to":"erdos:947","kind":"supports","trust":"machine"},{"from":"proof:plby:958","to":"erdos:958","kind":"supports","trust":"machine"},{"from":"proof:plby:964","to":"cond:GoldstonGrahamPintzYildirimStatement","kind":"depends_on","trust":"machine"},{"from":"proof:plby:964","to":"erdos:964","kind":"supports","trust":"machine"},{"from":"proof:plby:966","to":"erdos:966","kind":"supports","trust":"machine"},{"from":"proof:plby:967","to":"erdos:967","kind":"supports","trust":"machine"},{"from":"proof:plby:974","to":"erdos:974","kind":"supports","trust":"declared"},{"from":"proof:plby:990","to":"erdos:990","kind":"supports","trust":"machine"},{"from":"proof:plby:997","to":"cond:maynard-tao","kind":"depends_on","trust":"machine"},{"from":"proof:plby:997","to":"erdos:997","kind":"supports","trust":"machine"},{"from":"proof:vlp:154","to":"erdos:154","kind":"supports","trust":"declared"},{"from":"proof:vlp:154","to":"proof:plby:154","kind":"replicates","trust":"machine"},{"from":"vsa:vsa_00afe5b9d83c8343","to":"fc:246","kind":"supports","trust":"signed"},{"from":"vsa:vsa_082702df03318584","to":"fc:904","kind":"supports","trust":"signed"},{"from":"vsa:vsa_091ed4c5a5fc0f93","to":"fc:31","kind":"supports","trust":"signed"},{"from":"vsa:vsa_0b7b4a8b0ca914df","to":"fc:1090","kind":"supports","trust":"signed"},{"from":"vsa:vsa_0d768df62282d1e4","to":"fc:1148","kind":"specializes","trust":"signed"},{"from":"vsa:vsa_0f00f2812df9b286","to":"fc:443","kind":"supports","trust":"signed"},{"from":"vsa:vsa_17209c4a7cd4c6bb","to":"fc:519","kind":"supports","trust":"signed"},{"from":"vsa:vsa_18cdc4c446722c7e","to":"fc:258","kind":"supports","trust":"signed"},{"from":"vsa:vsa_1f3d381599abb1ff","to":"fc:333","kind":"supports","trust":"signed"},{"from":"vsa:vsa_286db47f558bdec1","to":"fc:369","kind":"supports","trust":"signed"},{"from":"vsa:vsa_2c8c6095d54a8a8c","to":"fc:419","kind":"supports","trust":"signed"},{"from":"vsa:vsa_35eed8100f7ca57d","to":"fc:582","kind":"supports","trust":"signed"},{"from":"vsa:vsa_404bef9d29f19e2e","to":"fc:484","kind":"supports","trust":"signed"},{"from":"vsa:vsa_40c141d610daf5d4","to":"fc:314","kind":"supports","trust":"signed"},{"from":"vsa:vsa_43b5f86a95b3524c","to":"fc:497","kind":"supports","trust":"signed"},{"from":"vsa:vsa_47d3516f45c47857","to":"fc:618","kind":"supports","trust":"signed"},{"from":"vsa:vsa_4ba09f447ec5fa95","to":"fc:363","kind":"supports","trust":"signed"},{"from":"vsa:vsa_4de2d8094b05e020","to":"fc:134","kind":"supports","trust":"signed"},{"from":"vsa:vsa_560014a2ef689aed","to":"fc:164","kind":"supports","trust":"signed"},{"from":"vsa:vsa_56973ed9feca81cc","to":"fc:429","kind":"supports","trust":"signed"},{"from":"vsa:vsa_590ee5f723b17f6d","to":"fc:476","kind":"supports","trust":"signed"},{"from":"vsa:vsa_5b64b43cdceb5588","to":"fc:164","kind":"supports","trust":"signed"},{"from":"vsa:vsa_5d51352f74dfddf4","to":"erdos:205","kind":"specializes","trust":"signed"},{"from":"vsa:vsa_705d7d58a8fe1816","to":"fc:93","kind":"supports","trust":"signed"},{"from":"vsa:vsa_726918b611c7d404","to":"fc:532","kind":"supports","trust":"signed"},{"from":"vsa:vsa_7510e45af9ee47fd","to":"fc:314","kind":"supports","trust":"signed"},{"from":"vsa:vsa_752b7506d96b3946","to":"fc:493","kind":"supports","trust":"signed"},{"from":"vsa:vsa_77fbf4f62b2f2649","to":"fc:453","kind":"supports","trust":"signed"},{"from":"vsa:vsa_784dda4f682d91d8","to":"fc:47","kind":"supports","trust":"signed"},{"from":"vsa:vsa_7c835a596e46b58b","to":"fc:24","kind":"supports","trust":"signed"},{"from":"vsa:vsa_879bd2c826515cbf","to":"fc:333","kind":"supports","trust":"signed"},{"from":"vsa:vsa_87db7f5ade55e46a","to":"fc:487","kind":"supports","trust":"signed"},{"from":"vsa:vsa_882ad62c622ae184","to":"fc:281","kind":"supports","trust":"signed"},{"from":"vsa:vsa_8dcfcccd429a5c4d","to":"fc:226","kind":"supports","trust":"signed"},{"from":"vsa:vsa_91a62854af084f2c","to":"fc:296","kind":"supports","trust":"signed"},{"from":"vsa:vsa_966c3cd4ec3a61ca","to":"fc:502","kind":"supports","trust":"signed"},{"from":"vsa:vsa_9691f0035704c649","to":"fc:401","kind":"supports","trust":"signed"},{"from":"vsa:vsa_96f98b83ba41c2e7","to":"fc:315","kind":"supports","trust":"signed"},{"from":"vsa:vsa_98ac2c292687a859","to":"fc:537","kind":"supports","trust":"signed"},{"from":"vsa:vsa_9a20c702e3158d78","to":"fc:34","kind":"supports","trust":"signed"},{"from":"vsa:vsa_9a3fd8ddbf76c338","to":"fc:280","kind":"supports","trust":"signed"},{"from":"vsa:vsa_9a4e4bd6708172ce","to":"fc:540","kind":"supports","trust":"signed"},{"from":"vsa:vsa_9ce6beabb331c7f5","to":"fc:93","kind":"supports","trust":"signed"},{"from":"vsa:vsa_a6912bf56bbf19ab","to":"fc:923","kind":"supports","trust":"signed"},{"from":"vsa:vsa_a6dd8ad77d869095","to":"fc:315","kind":"supports","trust":"signed"},{"from":"vsa:vsa_a74b65b56a3ee00b","to":"fc:178","kind":"supports","trust":"signed"},{"from":"vsa:vsa_b73d257fa8b7863b","to":"fc:1125","kind":"supports","trust":"signed"},{"from":"vsa:vsa_c1ba4a06c0a0bfce","to":"fc:369","kind":"supports","trust":"signed"},{"from":"vsa:vsa_c974adb93cc0448c","to":"fc:429","kind":"supports","trust":"signed"},{"from":"vsa:vsa_cce05f44f38a76ed","to":"erdos:214","kind":"contradicts","trust":"signed"},{"from":"vsa:vsa_cd27bd188fc79ade","to":"fc:646","kind":"supports","trust":"signed"},{"from":"vsa:vsa_d26afe685e264d30","to":"fc:435","kind":"supports","trust":"signed"},{"from":"vsa:vsa_d3436796ad05c066","to":"fc:729","kind":"supports","trust":"signed"},{"from":"vsa:vsa_d7e06cdc5e6670f9","to":"fc:1126","kind":"supports","trust":"signed"},{"from":"vsa:vsa_db083f4319ac62f7","to":"fc:435","kind":"supports","trust":"signed"},{"from":"vsa:vsa_e53c1d2cc6653a0e","to":"fc:871","kind":"supports","trust":"signed"},{"from":"vsa:vsa_e7d5e9e9e1ec62cf","to":"fc:24","kind":"supports","trust":"signed"},{"from":"vsa:vsa_f1a9b0465b04ca43","to":"fc:498","kind":"supports","trust":"signed"},{"from":"vsa:vsa_f1b30d1f99e3e928","to":"fc:224","kind":"supports","trust":"signed"},{"from":"vsa:vsa_fd540ecebd0e4429","to":"fc:401","kind":"supports","trust":"signed"},{"from":"vsa:vsa_ff5b1982fd123784","to":"fc:199","kind":"supports","trust":"signed"},{"from":"vsa:vsa_ffc0e460741d5d1b","to":"erdos:337","kind":"contradicts","trust":"signed"},{"from":"wiki:1141","to":"proof:plby:1141","kind":"contradicts","trust":"recorded"},{"from":"wiki:1148","to":"proof:plby:1148","kind":"contradicts","trust":"recorded"},{"from":"wiki:1197","to":"proof:plby:1197","kind":"contradicts","trust":"recorded"},{"from":"wiki:258","to":"proof:plby:258","kind":"contradicts","trust":"recorded"},{"from":"wiki:281","to":"proof:plby:281","kind":"contradicts","trust":"recorded"},{"from":"wiki:659","to":"proof:plby:659","kind":"contradicts","trust":"recorded"},{"from":"wiki:694","to":"proof:plby:694","kind":"contradicts","trust":"recorded"},{"from":"wiki:90","to":"proof:jayyhk:90","kind":"contradicts","trust":"recorded"},{"from":"wiki:997","to":"proof:plby:997","kind":"contradicts","trust":"recorded"}]}
