OpenAI reportedly claims its AI solved Navier–Stokes Millennium Prize problem
OpenAI announced that an AI system produced a solution to the Navier–Stokes existence and smoothness problem, one of the seven Millennium Prize challenges. The solution demonstrates a singularity when a fluid vortex narrows to about 70 nanometres, a scale calculated by Brown University mathematician George Karniadakis. OpenAI says the result was generated by a variant of its next‑generation…
Key points
- OpenAI announced its AI solved the Navier–Stokes Millennium Prize problem, showing a singularity at ~70 nm vortex width.
- The solution was produced by tens of thousands of agents using a variant model codenamed “Doug,” reportedly costing millions of dollars.
- Mathematicians expressed alarm over attribution and AI’s impact; OpenAI later clarified that external prompts did not influence the result.
Nature focuses on the technical implications of the singularity and cites experts Charles Fefferman and Yu Deng on related equations. The Decoder adds that the Navier‑Stokes claim remains officially unconfirmed and that the company is now close to solving the Hodge conjecture. Wired reports the mathematician community’s backlash, OpenAI’s investigation, and an amended statement that external prompts could not have influenced the system. It also notes broader concerns about attribution, data use, and the future role of AI in mathematical research.
The story so far
4 episodes →- OpenAI reportedly claims its AI solved Navier–Stokes Millennium Prize problemthis story
The Guardian view on AI v mathematicians: humans are still vital to the field, but tech firms refuse to see that
The Guardian AI · 20 September 2026
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Coverage and discussion
4sources- Mathematicians Hate AI. They Can’t Quit ItPress · Wired AI ·
- AI cracked the Navier–Stokes challenge. What does that mean for physics?Primary source · Nature Machine Learning ·
- OpenAI reportedly closes in on solving the Hodge conjecture, its second Millennium Prize ProblemPress · The Decoder ·
The headline, key points and digest above were generated by Digest AI's editorial model from the linked sources. Automated summaries can contain errors: the sources are the record. Spotted a mistake? Tell us. Published by Martin K., who runs Digest AI and handles corrections.
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