OpenAI's Astra Model Solves Ten Major Open Mathematics Problems

OpenAI announced that Astra, an advanced internal model, has achieved proofs for ten significant unsolved mathematics problems. The breakthroughs span diverse fields including sphere packing bounds, group theory, complexity theory, and quantum computing. Each solution was formally verified using Lean theorem proving. The company estimated that solving these problems would cost approximately $2,000 in computational tokens at standard API pricing. While Astra's attempts on other problems proved unsuccessful, researchers indicated that additional test-time computation could unlock further mathematical breakthroughs. The achievement demonstrates major progress in AI's capacity for advanced mathematical reasoning.