Checking that a major mathematical proof is correct can take years. Formalization—converting the mathematical reasoning into a form computer proof assistants like Lean can verify—can help. Last month, Claude completed the first formalized proof of Fermat’s Last Theorem, one of t…↗

New OpenAI repo with a Lean formalization by GPT-6-Astra proves that there are infinitely many pairs of consecutive primes whose distance is at most 186 github.com/openai/PrimeGa…↗

An internal version of Astra, our next major model, found new results across 10 long-standing open problems in math and theoretical computer science. The total token cost to find all 10 solutions? Roughly $2,000 at Sol API rates. Astra then formalized each argument in Lean. …↗