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OpenAI Navier-Stokes Claim Sparks Backlash From Mathematicians — AI-generated representative image: A researcher reviews mathematical equations in a modern AI research lab amid debate over a claimed Navier-Stokes solution.

Editorial Team

Researchers question the timing and significance of an AI-generated proof for the Millennium Prize problem ahead of a potential IPO.

OpenAI is facing criticism after announcing that an internal artificial intelligence system solved the Navier-Stokes problem, one of mathematics' famous Millennium Prize questions. The company said on Tuesday that roughly 10,000 AI agents worked for about 88 hours to produce a computer-verified proof. The achievement carries a $1 million prize from the Clay Mathematics Institute, though OpenAI said it does not intend to claim the money.

The announcement has divided the scientific and technology communities. Some observers called it an exciting day for mathematics, while others raised suspicions of plagiarism and questioned whether the result is as significant as the company claims. Critics suggest the timing may be tied to boosting OpenAI's valuation ahead of a potential stock-market listing.

Breakthrough Announcement and Immediate Criticism

OpenAI said the internal AI system solved the Navier-Stokes problem, which concerns equations describing how liquids and gases move and asks whether the mathematics can suddenly break down under certain conditions. The company reported that the AI agents exchanged millions of messages and generated around 130 billion output tokens before producing the proof.

The company presented the result as evidence of how rapidly its internal AI systems are advancing. However, mathematicians have cautioned against declaring the problem solved before the proof undergoes independent examination.

Background on the Millennium Prize

The Navier-Stokes problem is among the seven Millennium Prize Problems established by the Clay Mathematics Institute in 2000. Each carries a $1 million reward for a correct solution. The problems represent some of the most difficult unanswered questions in mathematics, and only one has been officially solved to date.

OpenAI acknowledged that the project began after hearing rumors that outside mathematicians had made progress on related problems. The company denied accessing their unpublished work but said it could not rule out that anonymized data from researchers' use of OpenAI products had helped improve its models.

Expert Reactions and Specific Allegations

NYU mathematician Tristan Buckmaster accused OpenAI of throwing massive resources at the problem only after learning that he and Anthropic researcher Levent Alpöge were making progress on a related approach. Diego Cordoba, whose work helped pioneer the approach used by the AI, said a valid solution would be a "big surprise."

Prominent tech commentator Mehdi, who has a large following on X, opened a lengthy attack on the announcement, accusing the company of trying to "privatize the very mechanism of human knowledge." He argued that OpenAI tackled an easier version of the problem and used brute-force computing rather than genuine machine reasoning, suggesting the result was manufactured to create an artificial "Sputnik moment" ahead of a stock-market listing.

What Happens Next

OpenAI maintains that its result satisfies the official wording of the prize problem. Independent verification of the proof has not yet been completed, and mathematicians have emphasized that the achievement should not be considered confirmed until the work is examined by outside experts. Further clarification from the company and the broader research community is awaited.