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Friday, September 11, 2026
OpenAI Claims a Navier-Stokes Solution With a Formal Proof
OpenAI has published a claimed solution to the Navier-Stokes existence and smoothness problem, with a release that reportedly includes a Lean 4 formal proof.
A mathematical claim with engineering implications
The reported effort used approximately 10,000 agents to produce the claimed solution. The inclusion of a formal proof makes this a development in formal methods as well as mathematics, although the result remains a claimed solution.
The potential engineering relevance lies in computational fluid dynamics. The work could eventually inform simulations used by engineers and researchers, but a claimed mathematical solution does not itself establish faster or more accessible calculations. Those benefits remain possibilities rather than demonstrated results.




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