OpenAI announced that it has found a solution to a significant mathematical challenge related to the Navier-Stokes equations, which describe fluid motion, using a new artificial intelligence model deployed across approximately 10,000 autonomous AI agents. The company stated that the solution was reached in roughly 88 hours, representing what it characterized as a milestone in AI capability development.
The problem in question, part of the Navier-Stokes equations, has lacked a complete proof for 90 years. OpenAI’s proposed solution addresses two of four required statements in the formal proof that would be needed to claim the $1 million Millennium Prize, offered by The Clay Mathematics Institute for solving specific mathematical problems. However, OpenAI indicated it does not intend to claim the prize. The company noted that the computational effort involved nearly 3 million messages exchanged between AI bots and consumed 130 billion output tokens, which would cost approximately $10 million based on OpenAI’s standard pricing models.
The announcement has drawn significant criticism from the mathematics community. Tristan Buckmaster, a mathematics professor at New York University, and Levent Alpöge, a mathematician at OpenAI competitor Anthropic, stated they were independently working on the same problem using OpenAI’s Codex tool. Buckmaster claimed that on 3 September, he discovered that information about their progress had been shared with OpenAI, and that OpenAI did not begin its work on the problem until after learning of theirs.
OpenAI responded by congratulating the concurrent work and denied accessing any of the researchers’ work or user data. The company stated that while de-identified data from the researchers’ use of OpenAI products could theoretically have contributed to model improvement, the proofs and results differ significantly. OpenAI explained that it began training its new mathematics-focused model in late August and, after hearing rumors about Millennium Prize progress, decided to direct its resources toward solving outstanding problems.
Article Attribution | Read More at Article Source
Article summary produced by Claude AI