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OpenAI's Astra Model Solves 10 Decade-Old Math Problems With Verified Proofs

OpenAI says its internal Astra model solved 10 long-standing math and computer science problems, each verified with a machine-checked Lean proof.

OpenAI's Astra Model Solves 10 Decade-Old Math Problems With Verified Proofs

OpenAI says an early, internal version of its next major model has done something no AI system has done before: produce new, verified solutions to ten mathematics and computer science problems that had gone unsolved for at least a decade. The company published the proofs alongside machine-checked certificates, letting anyone verify the logic step by step rather than take the claim on faith. What OpenAI announced On August 1, 2026, OpenAI said an internal version of its upcoming model family, code-named Astra, generated new results for ten open problems spanning pure mathematics and theoretical computer science ( SiliconANGLE ). According to the company, the model produced a 249-page collection of manuscripts, along with reasoning walkthroughs showing how it arrived at each result ( TechTimes ). Every proof was formalized in Lean 4, a proof assistant that mathematicians use to check formal logic line by line. OpenAI reported a "sorry" count of zero across all ten submissions, meanin…

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Puneet Sharma is a freelance web developer, tech writer, and blogger. He is the founder of FWD Tools and runs WebDevPuneet and The Tech Watcher.

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