This article has been reviewed according to Science X's editorial process and policies. Editors have highlighted the following attributes while ensuring the content's credibility: OpenAI said Tuesday that one of its unreleased artificial intelligence models had solved a mathematical puzzle that has eluded mathematicians for generations, a claim that also drew a fight with rival researchers over credit. Researchers at OpenAI said it took just days—and millions of dollars in computing power—to crack what is known as the Navier-Stokes problem.
Navier-Stokes is one of the seven Millennium Prize Problems, a list of the hardest open questions in mathematics drawn up by the Clay Mathematics Institute. It concerns the equations describing how fluids such as air and water move, which are used in aircraft design, weather forecasting and the study of blood flow. OpenAI said its work showed that these equations can break down over time, answering the question as set out by the Millennium Prize.
"This is a significant milestone for AI research, and its promise for the world is that even more of our hardest questions would become possible to answer," Mark Chen, OpenAI's chief research officer, told reporters. Each Millennium Prize Problem carries a $1 million reward, and only one has been solved since the list was published in 2000. OpenAI says it will not claim the money if its finding is confirmed.
According to the prize rules, a solution has to be published in a peer-reviewed journal and survive two years after gaining acceptance in the mathematical community before the institute will even convene a committee to consider the work. "The process of evaluation is deliberately unhurried, and we shall ensure that it is absolutely rigorous," Martin Bridson, president of the Clay Mathematics Institute, told AFP. ChatGPT-style AI is revolutionizing the world of high-level math by quickly solving famous, long-unsolved problems that stumped experts for decades.
But it has also sparked debate over whether machine-generated answers truly count as real human understanding. In a blog post describing the breakthrough, OpenAI said it began training a new model in late August, more capable than anything it had released publicly. Days later, seeing online rumors that a competitor had solved Millennium problems, OpenAI turned the system loose on all six that remain open.
Work on Navier-Stokes showed unexpected promise, and the company poured its computing power into it. By the final stage, OpenAI researcher Sebastien Bubeck said, 10,000 AI agents—programs that operate on their own—were working on the problem at once, passing messages back and forth. Chen said the computing costs ran "emphatically in the millions of dollars," with Bubeck adding that this was roughly 1,000 times what the company spent on earlier mathematical results.
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