OpenAI announced today that it has made a major breakthrough in mathematics, solving a 200-year-old equation that describes the natural behavior of fluids like water and air. The company said it used a new AI model with advanced mathematical capabilities to crack the Navier-Stokes equation, one of the unsolved problems in the Clay Millennium prizes, which are each worth $1 million.

Sebastien Bubeck, a mathematician and AI researcher at OpenAI, said in a press briefing that the company began training the new AI model on August 28, after reading rumors that Anthropic, a competing AI company, was making progress toward solving Navier-Stokes. Bubeck said OpenAI dedicated more resources to tackling the problem, using over 1,000 agents to work on it for more than 50 hours before discovering a solution.

However, the announcement has been marred by claims from another mathematician, Tristan Buckmaster, who says that OpenAI rushed ahead to solve the problem after learning of his and another mathematician's progress on the problem. Buckmaster claims that OpenAI tried to influence who got credit for the work, offering him a proposal to publish a paper announcing the solution without including the name of his collaborator, Levent Alpöge.

OpenAI executives denied that the company had inspected Buckmaster and Alpöge's work to inform their own research. Bubeck said that OpenAI recognizes the priority of Buckmaster and Alpöge's work on unforced Euler and congratulates them on their achievement. However, Ven Chandrasekaran, a mathematician at OpenAI, emphasized that the company's solution was significantly different in nature from the one produced by Buckmaster and Alpöge.

The spat over who gets credit for solving one of the biggest problems in math may rumble on for a while. As AI takes on more of the work involved with finding proofs, such fights could become more common. OpenAI's breakthrough has significant implications for the field of mathematics and the use of AI in research.

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