OpenAI Solves 10 Major Math Problems for $2K Compute Cost Using Internal Astra

johnseach · x · 2026-08-01

OpenAI announced 10 major breakthroughs in mathematics and theoretical computer science. Using an internal version of their next-gen model (Astra), they solved long-stagnant open problems, including disproving Connes's rigidity conjecture and resolving Erdős conjectures.

The AI generated the core arguments, which humans then wrote up and formalized in Lean. The total compute cost was roughly $2,000. This marks a clear signal that frontier models are becoming genuine research collaborators in pure mathematics.

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