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Ten problems open for a decade fall, all ten proofs under $2,000
Claim
An internal OpenAI model called Astra cracked ten problems open for a decade or more, from sphere packing to Connes's rigidity conjecture, formalizing each argument in Lean, with Noam Brown noting all ten proofs cost under $2,000 at API prices.
Reported metric: 10 problems, <$2,000
Reporting date: (not necessarily the event date)
Sources
Attribution and reporting linked by this record; links do not imply independent verification.
- Welcome to August 1, 2026 (theinnermostloop.substack.com)
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