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AI findings from Axiom Math

Every finding in the registry credited to Axiom Math, with what each one claims and how solid the evidence is.

By verification grade

0 of 8 carry an independent check. Open the review queue.

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  1. 177 yrBounded prime gaps improved to 212, with a Lean certificate of the deductionposed 1849 · AxiomProver
  2. 5 yrProof of the Lyons–White conjecture on rate-monotonic random walksposed 2021 · AxiomProver
  3. 1 yrBrowning-Sawin conjecture on random sign-coefficient hypersurfaces proved, with a Lean formalization assuming existing literatureposed 2025 · AxiomProver

From the 3 of 8 entries recording a posed year. Add a missing one.

All findings in the registry, sortable by column.
DateFindingLabModelVerificationAutonomyField
2026-10-26 Classification of Finite Simple Groups formalized in Lean by directed AI agents Axiom Math AxiomProver agent system using an unnamed, changing mix of models Claimed Collaborative mathematics
2026-10-12 No zeros of any Dedekind zeta function with real part above 31/32, machine-checked in Lean Axiom Math AxiomProver Formally verified Collaborative mathematics
2026-09-17 Huang-Jiang-Oblomkov conjecture proved for every torus-knot singularity, with a Lean formalization conditional on two literature inputs Axiom Math AxiomProver Claimed AI-assisted mathematics
2026-09-16 Browning-Sawin conjecture on random sign-coefficient hypersurfaces proved, with a Lean formalization assuming existing literature Axiom Math AxiomProver Claimed AI-assisted mathematics
2026-09-03 Bounded prime gaps improved to 212, with a Lean certificate of the deduction Axiom Math AxiomProver Claimed Collaborative mathematics
2026-08-27 Proof of the Lyons–White conjecture on rate-monotonic random walks Axiom Math AxiomProver Formally verified AI-assisted mathematics
2026-08-18 Bounded prime gaps of 246 formalized in Lean from Bombieri-Vinogradov Axiom Math AxiomProver Formally verified Collaborative mathematics
2026-08-06 Huang-Jiang-Oblomkov conjecture for a = 3: a new infinite family of Rogers-Ramanujan identities, with a Lean certificate conditional on eight literature facts Axiom Math AxiomProver Claimed AI-assisted mathematics

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