Claims of AI contributions to mathematics, announcements and changes in the register, graded for autonomy, evidence and fidelity. https://qed.bot/ 2026-09-30T14:34:16Z qed.bot urn:qed:change:formal-status:erdos:44:mixed 2026-09-30T14:34:16Z

The formal record now marks Erdős Problem 44: Extending Sidon Sets as mixed, previously open.

urn:qed:change:formal-status:erdos:80:mixed 2026-09-30T14:34:16Z

The formal record now marks Erdős Problem 80 as mixed, previously open.

urn:qed:change:formal-status:erdos:331:solved 2026-09-30T14:34:16Z

The formal record now marks Erdős Problem 331 as solved, previously mixed.

urn:qed:change:formal-status:erdos:1084:solved 2026-09-30T14:34:16Z

The formal record now marks Erdős Problem 1084 as solved, previously mixed.

urn:qed:change:formal-status:erdos:1099:solved 2026-09-30T14:34:16Z

The formal record now marks Erdős Problem 1099 as solved, previously mixed.

urn:qed:change:formal-status:erdos:1106:mixed 2026-09-30T14:34:16Z

The formal record now marks Erdős Problem 1106 as mixed, previously open.

urn:qed:change:claim:1e75b762c9b1 2026-09-30T10:56:25Z

AxiomProver: Proved a bound of 212, building on Stadlmann's work, with a Lean certificate of the deduction. Autonomy A1, evidence V2.

urn:qed:change:claim:e36c3b5ee17d 2026-09-30T10:56:25Z

GPT-6 Astra: Proved that infinitely many pairs of consecutive primes are at most 186 apart. Autonomy A3, evidence V2.

urn:qed:change:claim:0be0b1b52f59 2026-09-30T10:56:25Z

Claude, ChatGPT and Codex: Proved that infinitely many pairs of consecutive primes are at most 236 apart, improving Stadlmann's 240. Autonomy A1, evidence V2.

urn:qed:change:fidelity:erdos:789:F2 2026-09-29T16:33:59Z

The fidelity grade for Erdős Problem 789 moved from F0 to F2.

urn:qed:change:fidelity:wikipedia:RiemannZetaValues:F2 2026-09-29T14:31:43Z

The fidelity grade for Particular values of the Riemann zeta function moved from F0 to F2.

urn:qed:change:fidelity:green:25:F2 2026-09-29T12:43:28Z

The fidelity grade for Green's Open Problem 25 moved from F0 to F2.

urn:qed:change:verified:erdos:67:Palomar 2026-09-29T01:40:08Z

Erdős Problem 67 is now machine-checked, by Palomar.

urn:qed:change:fidelity:erdos:67:F2 2026-09-29T01:40:08Z

The fidelity grade for Erdős Problem 67 moved from F0 to F2.

urn:qed:change:registration:PALOMAR-2026-09-29-000002:erdos:67 2026-09-29T01:40:08Z

Palomar registered a rebuild of Erdős Problem 67, attached here as a check.

urn:qed:change:formal-status:erdos:3:mixed 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 3 as mixed, previously open.

urn:qed:change:formal-status:erdos:19:mixed 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 19 as mixed, previously unclassified.

urn:qed:change:formal-status:erdos:30:mixed 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 30 as mixed, previously open.

urn:qed:change:formal-status:erdos:78:mixed 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 78 as mixed, previously unclassified.

urn:qed:change:formal-status:erdos:102:mixed 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 102 as mixed, previously unclassified.

urn:qed:change:formal-status:erdos:103:open 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 103 as open, previously unclassified.

urn:qed:change:formal-status:erdos:148:mixed 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 148 as mixed, previously unclassified.

urn:qed:change:fidelity:erdos:261:F2 2026-09-28T11:57:19Z

The fidelity grade for Erdős Problem 261 moved from F0 to F2.

urn:qed:change:fidelity:erdos:302:F2 2026-09-28T11:57:19Z

The fidelity grade for Erdős Problem 302 moved from F0 to F2.

urn:qed:change:formal-status:erdos:482:solved 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 482 as solved, previously unclassified.

urn:qed:change:fidelity:erdos:482:F2 2026-09-28T11:57:19Z

The fidelity grade for Erdős Problem 482 moved from F0 to F2.

urn:qed:change:formal-status:erdos:522:solved 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 522 as solved, previously mixed.

urn:qed:change:fidelity:erdos:522:F2 2026-09-28T11:57:19Z

The fidelity grade for Erdős Problem 522 moved from F0 to F2.

urn:qed:change:fidelity:erdos:809:F2 2026-09-28T11:57:19Z

The fidelity grade for Erdős 809 moved from F0 to F2.

urn:qed:change:formal-status:erdos:995:mixed 2026-09-28T11:57:19Z

The formal record now marks Erdős Problem 995 as mixed, previously unclassified.

urn:qed:change:fidelity:erdos:1054:F2 2026-09-28T11:57:19Z

The fidelity grade for Erdős Problem 1054 moved from F0 to F2.

urn:qed:change:fidelity:erdos:1219:F2 2026-09-28T11:57:19Z

The fidelity grade for Erdős 1219 moved from F0 to F2.

urn:qed:change:formal-status:green:47:mixed 2026-09-28T11:57:19Z

The formal record now marks Green's Open Problem 47 as mixed, previously open.

urn:qed:change:fidelity:green:47:F2 2026-09-28T11:57:19Z

The fidelity grade for Green's Open Problem 47 moved from F0 to F2.

urn:qed:change:fidelity:millennium:PvsNP:F2 2026-09-28T11:57:19Z

The fidelity grade for Conjectures in Complexity Theory moved from F0 to F2.

urn:qed:change:fidelity:oeis:100478:F0 2026-09-28T11:57:19Z

The fidelity grade for Pentanacci π sequence moved from F2 to F0.

urn:qed:change:formal-status:oeis:103425:solved 2026-09-28T11:57:19Z

The formal record now marks a(n) = 3a(n−1) + a(n−2) − 3a(n−3) as solved, previously open.

urn:qed:change:fidelity:oeis:103425:F2 2026-09-28T11:57:19Z

The fidelity grade for a(n) = 3a(n−1) + a(n−2) − 3a(n−3) moved from F0 to F2.

urn:qed:change:formal-status:oeis:103662:mixed 2026-09-28T11:57:19Z

The formal record now marks Smallest power with base>1 and exponent n without digit 0 as mixed, previously open.

urn:qed:change:formal-status:arxiv:2604.08040/Conjecture5_5:solved 2026-09-28T11:57:19Z

The formal record now marks Group structure via subgroup counts as solved, previously mixed.

urn:qed:change:fidelity:arxiv:2604.08040/Conjecture5_5:F2 2026-09-28T11:57:19Z

The fidelity grade for Group structure via subgroup counts moved from F0 to F2.

urn:qed:change:fidelity:erdos:1220:F2 2026-09-27T08:37:38Z

The fidelity grade for Erdős 1220 moved from F0 to F2.

urn:qed:change:claim:0ccd14772447 2026-09-27T08:37:38Z

Claude, GPT-5.6 Sol and GPT-6 Astra: Finite-time blowup for the incompressible porous media equation on the two-dimensional torus with a force smooth in space and time, extending Córdoba and Martínez-Zoroa's result with a spatially smooth force. Autonomy A1, evidence V1.

urn:qed:change:claim:58935e97737d 2026-09-27T08:37:38Z

Claude, GPT-5.6 Sol and GPT-6 Astra: A finite-time singularity for the incompressible Euler equations on ℝ³ with a force smooth in space and time up to and including the blowup time. Autonomy A1, evidence V1.

urn:qed:change:claim:3edb0739c066 2026-09-27T08:37:38Z

Claude, GPT-5.6 Sol and GPT-6 Astra: Finite-time blowup for the inviscid Boussinesq system on ℝ² with smooth forcing in both equations: the temperature stays bounded while its gradient and the vorticity blow up. Autonomy A1, evidence V1.

urn:qed:change:announcement:buckmaster-alpoge-2026-09-07 2026-09-27T08:37:38Z

Tristan Buckmaster and Levent Alpöge claims three blowup results with smooth forcing, and blowup for hypodissipative Navier–Stokes held back until its Lean verification finishes. 4 identified, 0 with a checkable artifact.

urn:qed:announcement:openai-2026-09-21 2026-09-21T00:00:00Z

Claims more than 100 long-standing open problems across most areas of mathematics. Disclosure D0: 0 of 100 identified, 0 checkable.

urn:qed:89ef9abfa51b 2026-09-09T00:00:00Z

Formalised the Navier–Stokes and Euler results in Lean, checked with Comparator against the Formal Conjectures statements of alternatives (C) and (D).. Autonomy A1, evidence V2, fidelity F3.

urn:qed:ed88695692e8 2026-09-08T00:00:00Z

Finite-time blowup for the 3D incompressible Navier–Stokes equations with smooth forcing, on Euclidean space and on the torus: Fefferman's alternatives (C) and (D), a negative answer to the Millennium problem. Unforced Euler blowup is proved alongside.. Autonomy A2, evidence V2, fidelity F3.

urn:qed:announcement:openai-2026-09-08 2026-09-08T00:00:00Z

Claims Navier–Stokes blowup with smooth forcing, and unforced Euler blowup. Disclosure D3: 2 of 2 identified, 2 checkable.

urn:qed:0ccd14772447 2026-09-07T00:00:00Z

Finite-time blowup for the incompressible porous media equation on the two-dimensional torus with a force smooth in space and time, extending Córdoba and Martínez-Zoroa's result with a spatially smooth force.. Autonomy A1, evidence V1, fidelity F0.

urn:qed:58935e97737d 2026-09-07T00:00:00Z

A finite-time singularity for the incompressible Euler equations on ℝ³ with a force smooth in space and time up to and including the blowup time.. Autonomy A1, evidence V1, fidelity F0.

urn:qed:3edb0739c066 2026-09-07T00:00:00Z

Finite-time blowup for the inviscid Boussinesq system on ℝ² with smooth forcing in both equations: the temperature stays bounded while its gradient and the vorticity blow up.. Autonomy A1, evidence V1, fidelity F0.

urn:qed:announcement:buckmaster-alpoge-2026-09-07 2026-09-07T00:00:00Z

Claims three blowup results with smooth forcing, and blowup for hypodissipative Navier–Stokes held back until its Lean verification finishes. Disclosure D1: 4 of 4 identified, 0 checkable.

urn:qed:2cba2d1d7d11 2026-09-04T00:00:00Z

A complete Lean 4 proof of Fermat's Last Theorem on the standard axioms, deriving Mathlib's own statement, with the classical inputs proved in the strength the argument needs rather than assumed.. Autonomy A1, evidence V2, fidelity F2.

urn:qed:announcement:anthropic-2026-09-04 2026-09-04T00:00:00Z

Claims a complete formalisation of Fermat's Last Theorem. Disclosure D3: 1 of 1 identified, 1 checkable.

urn:qed:1e75b762c9b1 2026-09-03T00:00:00Z

Proved a bound of 212, building on Stadlmann's work, with a Lean certificate of the deduction.. Autonomy A1, evidence V2, fidelity F2.

urn:qed:e36c3b5ee17d 2026-09-03T00:00:00Z

Proved that infinitely many pairs of consecutive primes are at most 186 apart.. Autonomy A3, evidence V2, fidelity F2.

urn:qed:0be0b1b52f59 2026-09-01T00:00:00Z

Proved that infinitely many pairs of consecutive primes are at most 236 apart, improving Stadlmann's 240.. Autonomy A1, evidence V2, fidelity F2.

urn:qed:a1f4631eb597 2026-08-23T00:00:00Z

An elliptic curve over the rationals of rank at least 31, verified by ICARM's leaderboard.. Autonomy A1, evidence V2, fidelity F0.