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OpenAI

GPT-6

A family is a named generation or product line. Scores below are the sum of its named releases and any documented internal systems in the same line.

Benefit

+2.59

Harm

0.00

Net Good

2.59

Releases

Leaderboard

RankModelOrganizationBenefitHarmNetEventsLast impact
16OpenAI Internal Research System — 2026-09

GPT-6 · internal / unreleased

OpenAI+2.000.002.0028 Sep 2026
35GPT-6 Astra

GPT-6

OpenAI+0.600.000.6038 Sep 2026

Timeline

Events

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+1.13
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+1.13
Benefit5 Sep 2026

An unreleased OpenAI system produces an unforced 3D Euler blowup

While probing Millennium problems in early September 2026, OpenAI says a multi-agent run of an internal model more capable than GPT-6 Astra produced a finite-time singularity for unforced 3D incompressible Euler in about 50 hours.

MathematicsprovisionalTier 3 Major+0.99
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
GPT-6 · NetGoodIndex