AnalysisAI ModelsAugust 3, 2026

OpenAI's Astra model solves 10 open math problems

OpenAI's unreleased Astra model solved 10 open math problems for under $2,000, including a sphere-packing bound stuck since 1978 and the first explicit construction of a non-sofic group. Each result ships with a Lean 4 certificate on GitHub.

Featured · Sébastien Bubeck

How this story unfolded

4 weeks · 1 report · 5 community posts · from Aug 1

Aug 1
- An internal version of Astra, @OpenAI’s next major model family, solved 10 major open problems in...
Aug 2
- OpenAI's unreleased Astra model solved 10 math problems that no human had made progress on for at...
Aug 4
- OpenAI's Astra Model Solved 10 Open Math Problems for $2,000mindstudio.ai
- OpenAI's unreleased Astra model solved 10 open math problems for $2,000 and shipped machine-checkable proofs
Aug 28
- Today I was asked why we haven’t announced more math results from Astra since these problems. At...
Aug 30
- OpenAI built a model so capable they're afraid to release it. That's not hype. That's what OpenAI...

AI Models by email

Get an email when there's news on AI Models

No news that day, no email.

OpenAI's Astra model solves 10 open math problems

How this story unfolded

AI Models by email

More stories today