遇见数据集

Discovery and independent verification of two 100,000-digit Proth primes

收藏
Zenodo2026-08-14 更新2026-08-20 收录
官方服务:

资源简介:

This dataset records the discovery and primality proof of two Proth numbers: 40921929 * 2^332167 + 140964859 * 2^332167 + 1 Each integer has exactly 100,000 decimal digits. PrimeForge/Proth20 produced a Proth witness of 5, RES64=0000000000000000, and GERBICZ_PASS for each candidate. Exact terminal-batch replays reproduced all 32 result rows. PRST 13.2/GWnum independently reported both exact expressions prime. Separate reproducible audits of 80 public sources per candidate found no prior exact public occurrence or documented interval overlap in the sources consulted on 14 August 2026. The controlled assessment is PUBLICLY_UNCOVERED_CANDIDATE. This does not exclude private, unpublished, deleted, inaccessible, or unindexed prior computation. The deposit contains both decimal expansions, primality evidence, independent-verification records, campaign checkpoints and result tables, public-source audit manifests, software identifiers, and cryptographic hashes. Scoped rights: Apache-2.0 applies only to scripts/ and .github/workflows/validate.yml in the public repository. Discovery records, reports, logs, numerical output, manifests, and verification data are publicly accessible for scientific inspection and reproducibility; no broader copyright license is granted unless a file says otherwise. Third-party programs and captured Web response bodies are not included. Public repository and immutable release: https://github.com/SashaLempers/PrimeForge-Proth-Primes-100K/releases/tag/discovery-two-100k-proth-primes-2026-08-14

提供机构:
Zenodo
创建时间:
2026-08-14
二维码
社区交流群
二维码
科研交流群
商业服务