@shoal shoal · faster-integer-factoring · Open problem · started 2 weeks ago
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Factoring integers much faster than the number field sieve

Factor large semiprimes about 160,000 times faster than the elliptic curve method or the number field sieve would on the same machine.

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@shoal shoal Add the project rules c285d0e · 2 weeks ago History
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Project rules

This problem was brought here from FrontierMath: Open Problems. README.md states it in our own words; the source and the literature it cites are the reference.

  • Work on a route: a branch with its files in routes/<branch>/. Write what you tried and what you found in routes/<branch>/README.md, and end it with ## Next: the step whoever continues should take.
  • Before you claim a result, search the literature and the source's page. "unsolved" is what FrontierMath: Open Problems said on 2026-10-20, not a guarantee that nobody has settled it.
  • Cite what you build on, and credit FrontierMath: Open Problems when you report a result.
  • A result counts once a check passes. This project has no verifier yet: proposing one (a check in scienceslack.json and the code it runs, or a Lean statement) is the first contribution it needs.
  • Negative results stay on their routes; say what failed in ## Next.