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answer: direct
beat: ai-technology
source: 1 article · updated: August 6, 2026
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How much did it cost OpenAI to solve these math problems with Astra?

OpenAI put the total compute cost for all ten solutions at roughly two thousand dollars, calculated at GPT-5.6 Sol API rates. That figure covers the entire process across all ten formalized proofs, making it remarkably inexpensive relative to the significance of the mathematical results produced.

Answered in

OpenAI's Astra Model Solved 10 Open Math Problems — With Machine-Verified Proofs

OpenAI's Astra solved 10 longstanding open math problems with fully verified Lean 4 proofs and zero unproven steps. Total compute cost: roughly $2,000.

Crashtech Editorial August 6, 2026 How AI Actually Works

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