OpenAI says it has solved the Navier–Stokes problem.
The proof was
produced by a group of
10,000 AI agents running on an internal model that the company says is more powerful than GPT-6 Astra. It took
88 hours and
130 billion output tokens.
The agents showed that the flow of a viscous fluid under a smooth external force accelerates to infinite speed in finite time—meaning the equations stop describing reality. OpenAI does not intend to claim the
$1 million prize.
There are already questions about the result: mathematician
Tristan Buckmaster and
Levent Alpöge of Anthropic today released their own proofs for related equations, along with a statement describing how OpenAI proposed publishing the Navier–Stokes work without Alpöge,
because he works for a competitor.
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