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OpenAI Claims AI Agents Solved the Navier–Stokes Millennium Problem

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On the Navier–Stokes Millennium Prize Problem

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OpenAI says an unreleased model — described as well beyond its GPT-6 Astra system — produced a proof addressing the Navier–Stokes existence and smoothness problem, one of the Clay Mathematics Institute’s seven Millennium Prize Problems and a question open for roughly 90 years. The specific result is a finite-time singularity construction: starting from a smooth fluid at rest, a smooth applied force with finite total energy can drive the system to blow up in finite time. That is a narrower, forced variant rather than the unforced global-regularity question most people mean by ‘the’ Navier–Stokes problem, so whether it fully settles the $1M prize is exactly the kind of claim the mathematics community will now spend months scrutinizing.

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