OpenAI claims to have solved a Millennium Prize Problem on the...

OpenAI claims to have solved a Millennium Prize Problem on the Navier–Stokes equations

Nature examines OpenAI's claim of solving a 'Millennium Prize Problem' — a proof of singularity in the Navier–Stokes equations built by thousands of AI agents, which has not yet undergone independent verification.

Compiled by Sergey KostenchukPublished 2026-09-19Updated 2026-09-19

2026-09-19 Research OpenAI

🤖 OpenAI claims to have solved a Millennium Prize Problem on the Navier–Stokes equations

Nature examines OpenAI's September 8 statement: thousands of AI agents proved singularity in the Navier–Stokes equations — a fluid reaches infinite speed in finite time. The Clay Institute pays $1 million for a solution.

🌍 According to OpenAI, a Millennium Prize Problem has been solved for the first time not by a human, but by an orchestra of AI agents. According to Karniadakis (Brown), for air, singularity occurs at a vortex width of ~70 nm: there, the continuous medium ceases to work, and with it aerodynamics and oceanography.

👤 The Navier–Stokes equations are used to calculate wing flow and weather forecasts — they will only break down at nanoscales. The proof awaits independent verification; parallel solutions were published by Alpöge–Buckmaster and the Anandkumar group.

Source 1: https://www.nature.com/articles/d41586-026-02922-6 Source 2: https://www.nature.com/articles/d41586-026-02842-5

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