he motion of fluids is described by the Navier–Stokes equations, the focus of one of the thorniest problems in mathematics.Credit: Kertlis/Getty

OpenAI claims huge maths breakthrough on a famed “Millennium Problem”

The article reports that OpenAI claims to have solved a major open problem in mathematics using artificial intelligence. The problem is related to the motion of fluids and is connected to one of the famous Millennium Prize Problems.

According to the article, this would be significant because it would represent the first time that a computer has apparently solved such a major, long-standing mathematical problem. OpenAI says that its AI system was able to tackle the mathematical and physical aspects of the problem.

However, the article presents the achievement as a claim by OpenAI, rather than simply declaring that the mathematical problem has definitively been solved. This distinction is important because major mathematical results normally need to be carefully examined and verified by independent mathematicians.

The article therefore focuses on the broader importance of the claim: if confirmed, it could demonstrate that AI is capable of making genuinely new contributions to advanced mathematics, rather than simply assisting humans with calculations or known techniques.

Reference: Castelvecchi, D. (2026, September 8). OpenAI claims huge maths breakthrough on a famed ‘Millennium Problem’. Nature, 657, 579–580. https://www.nature.com/articles/d41586-026-02842-5?error=cookies_not_supported&code=05139380-068d-48d5-90f5-20de8a42ed4f