GPT-6 Codenamed Astra Breaks 10 Major Math Problems
mark_k · x · 2026-08-01
OpenAI's next major model, codenamed Astra (suspected GPT-6 series), has internally solved 10 major problems in math and theoretical computer science that have seen no progress for over a decade. Highlights include new upper bounds for high-dimensional sphere packing and the disproof of Connes' rigidity conjecture.
Humans prepared the manuscripts while Astra formalized the arguments in Lean. OpenAI is releasing the Lean certificates and the model's reasoning process, with an estimated total token cost of just $2,000. The model is positioned for long-running multi-agent work on hard problems.
Related event: OpenAI's Internal Model Astra Cracks 10 Major Math Problems(99 posts)→
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