OPENAI Claims AI has cracked a 90 year-old mathematics mystery — But Experts are not convinced yet

NEW YORK — OpenAI says an advanced artificial intelligence system may have achieved a breakthrough in one of mathematics’ most notoriously difficult problems, claiming its AI generated a proposed solution to the Navier–Stokes existence and smoothness problem in just 88 hours.

The problem, which has challenged mathematicians for nearly a century, involves equations used to explain how fluids such as water and air behave and move. It is among the seven Millennium Prize Problems, each carrying a $1 million prize for a mathematically verified solution.

According to OpenAI, the effort involved deploying roughly 10,000 AI agents, allowing different systems to investigate numerous mathematical strategies simultaneously. The agents reportedly exchanged millions of messages while developing, testing and refining possible approaches.

AI PROPOSES A RADICAL ANSWER

OpenAI says its system eventually produced an extensive mathematical argument suggesting that a smooth solution to the Navier–Stokes equations could develop a singularity — a point where the mathematical behaviour becomes undefined or breaks down within a finite amount of time.

The company says the proposed argument was then subjected to additional AI-based verification in an effort to identify potential errors or weaknesses.

If the result ultimately survives rigorous examination by independent mathematicians, it could become one of the most significant demonstrations yet of AI’s ability to contribute to fundamental mathematical research.

But that outcome remains far from certain.

MATHEMATICIANS DEMAND INDEPENDENT VERIFICATION

Experts have urged caution over the announcement, stressing that a problem of this importance cannot be considered solved simply because an AI system has produced a sophisticated mathematical argument.

The proposed proof must undergo detailed examination by independent mathematicians, who will need to verify every critical step and determine whether it satisfies the precise conditions of the original Navier–Stokes problem.

Questions have also emerged over the relationship between OpenAI’s work and research into related mathematical approaches.

NYU mathematician Tristan Buckmaster has raised concerns because he and Anthropic researcher Levent Alpöge have been working on a related line of research. OpenAI, however, has denied accessing or using their unpublished research and maintains that its work was developed independently.

$1 MILLION PRIZE REMAINS UNCLAIMED

The Navier–Stokes problem is one of the famous Millennium Prize Problems established by the Clay Mathematics Institute. A fully accepted solution would qualify for a $1 million award.

OpenAI says it does not intend to claim the prize at this point.

That decision reflects the central issue surrounding the announcement: the proposed solution has not yet been independently verified and accepted by the mathematical community.

COULD AI CHANGE MATHEMATICAL RESEARCH?

Regardless of whether the proof is ultimately accepted, the episode highlights the rapidly expanding role of artificial intelligence in scientific research.

AI systems are increasingly being used to generate mathematical ideas, test hypotheses and explore problems that would take humans enormous amounts of time to investigate.

If OpenAI’s argument is eventually confirmed, it could mark a major milestone — not only for mathematics but also for the broader debate over whether AI can make genuinely original contributions to scientific discovery.

For now, however, the Navier–Stokes problem remains officially unresolved.

OpenAI may have presented a potentially groundbreaking solution, but the final verdict belongs to mathematicians.