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Scientific Research

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Sunday, 2 August 2026

OpenAI’s Astra solves 10 long-open math problems and publishes the proofs

SiliconANGLE 3 weeks ago 19 9 sources

OpenAI's Astra model solved 10 previously open problems in mathematics and theoretical computer science, including a non-sofic group construction, Connes's conjecture, and three Erdős problems, publishing machine-checkable Lean 4 proofs for all results. The computations cost approximately $2,000 in API tokens, and all formal proofs compiled with zero unproven steps. The achievement remains unreviewed by peer mathematicians, though the Lean certificates provide cryptographic verification independent of the model's reasoning.

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