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OpenAI · GPT-6

GPT-6 Astra

Benefit

+1.05

Harm

0.00

Net Good

1.05

Verified benefit

0.00

History

Cumulative score

Domains

Mathematics1.05

Release

Status released. First dated 30 Aug 2026.

Event timeline

Benefit8 Sep 2026

OpenAI claims a forced Navier–Stokes singularity from an unreleased system

On 8 September 2026 OpenAI published a 166-page writeup and Lean formalization arguing that smooth, finite-energy 3D Navier–Stokes dynamics with a smooth external force can blow up in finite time, which it says settles Clay statements C and D. The search model was an unreleased internal system; GPT-6 Astra did the Lean step.

MathematicsdisputedTier 3 Major+0.12
Benefit8 Sep 2026

Buckmaster and Alpöge, using Sol and Claude, prove smooth-forced blowup for Euler, IPM, and Boussinesq

On 8–11 September 2026 Tristan Buckmaster and Levent Alpöge released Lean-backed finite-time blowup results with smooth forcing for incompressible porous media, 2D Boussinesq, and 3D Euler, crediting Anthropic’s Claude and especially OpenAI’s GPT-5.6 Sol. Astra was used only for writeups and auditing.

MathematicsprovisionalTier 3 Major+0.06
Benefit3 Sep 2026

GPT-6 Astra improves short and large prime-gap bounds

On 3 September 2026 OpenAI released GPT-6 Astra with two analytic number-theory results: a proof that infinitely many consecutive primes differ by at most 186, and an improvement to a large-gap bound that had been stuck for more than 80 years.

MathematicsprovisionalTier 2 Notable+0.42
Benefit1 Sep 2026

Pre-release GPT-6 Astra solves five Bloom-curated Erdős problems in Lean

On 1 September 2026 Epoch AI reported that a pre-release GPT-6 Astra system was the only model to score on FrontierMath Erdős, a Lean benchmark of 68 significant unsolved Erdős problems. It solved problems 74 and 126 under the official $300 protocol, and problems 1, 548, and 571 in extra attempts.

MathematicsprovisionalTier 2 Notable+0.46