OpenAI's Astra Solves 10 Open Problems in Math and Theoretical CS for ~$2,000 | 2026-08-03
On August 1, OpenAI announced that an internal version of Astra, its next major model family, solved 10 open problems in mathematics, quantum complexity, and theoretical computer science that had seen no progress on their main results for at least a decade. The proofs span sphere packing, non-sofic groups, Connes' rigidity conjecture, and quantum parallel repetition, all formalized in Lean. At Sol API rates, the total token cost to find these solutions was roughly $2,000.