Community pushes Quasi-RH zero-free record to θ ≤ 0.874810282, Lean proofs pending
IgorCarron · x · 2026-10-21
Rohan Arun and collaborators extended the Lean-verified Quasi-RH record on the QuasiRiemannTracker: adding third and fourth affine levels to ArviFoxy's two-level proof gives θ ≤ 437405141/500000000 ≈ 0.874810282, about 6.8×10⁻⁶ below the prior record.
- The four-level result is conditional on five structural hypotheses (H1–H5) not yet proved in Lean, though the arithmetic is exactly checked; three levels yield θ ≤ 0.874812431.
- The project builds on OpenAI's original 7/8 preprint and runs like a leaderboard: PRs are accepted without full Lean proofs, with a dozen-plus community contributors.
- The author notes this kind of hillclimbing is ideal for auto-researchers.
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