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On the Navier–Stokes Millennium Prize Problem

AchievementResearchSep 8, 2026

OpenAI says an unreleased model resolved the Navier–Stokes existence and smoothness problem, one of seven Millennium Prize Problems, with agents producing a solution in roughly 88 hours, verified via Lean. NYU professor Tristan Buckmaster alleges OpenAI began after learning of his near-year-long work with Anthropic's Levent Alpöge, conducted using Claude and Codex. OpenAI denies accessing user data but cannot rule out de-identified data aiding its models.

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Evidence

1source· awaiting independent confirmation

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Citation chain · 1 source

OpenAICompanyAnthropicCompanyCodexModelClaudeModelGPT-5.6 SolModelLevent AlpögePersonTristan BuckmasterPersonNYUCompany
Canonical: https://simonwillison.net/2026/Sep/8/on-navier-stokes/