OpenAI’s Astra solves 10 long-open math problems and publishes the proofs
OpenAI's Astra didn't just solve 10 long-open math problems—it published machine-checkable proofs. That's a capability inflection.

Why it matters
Astra demonstrates a frontier leap in reasoning and formal verification: solving decade-old problems in mathematics and theoretical CS with publishable proofs signals a qualitative shift in model capability that reshapes how practitioners think about AI for research and verification tasks.
The key facts
6 to knowOpenAI internal Astra version solved 10 open problems in mathematics and theoretical computer science
Problems had been open for at least a decade each
Machine-checkable proofs published alongside results
249-page manuscript of proofs released
Astra announced as OpenAI's next major model release
Published August 2, 2026
Go to the source
SiliconAnglesiliconangle.com
Publisher excerpt: OpenAI Group PBC revealed Saturday that an internal version of Astra, the model family it calls its next major release, produced new results for 10 problems in mathematics and theoretical computer science that had been open for at least a decade, and it published machine-checkable proofs alongside…