OpenAIAnalysisAI ModelsAugust 1, 2026

OpenAI's Astra model solves 10 open math problems

OpenAI's unreleased Astra model produced machine-verified proofs for 10 long-standing problems in mathematics and theoretical computer science, at a cost of roughly $2,000 in GPT-5.6 Sol API tokens. The results include solutions to three Erdős problems and a sphere-packing bound unmoved since 1978.

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