Hilbert's 10th problem over the rationals appears solved in OpenAI math dump

almmaasoglu · x · 2026-10-07

The wildest result in OpenAI's math dump may be hiding in plain sight: Hilbert's tenth problem over the rationals appears solved. The question—given an arbitrary polynomial equation, can an algorithm always determine whether it has a rational solution?—has been answered no, closing out a decades-old open problem.

Commenters also noted OpenAI released these results quietly rather than with fanfare, even though a Millennium Prize–caliber result may be among them, speculating OpenAI got "scared from last time."

Related event: OpenAI Open-Sources 722 AI-Generated Math Results(64 posts)→

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