OpenAI has used its upcoming Astra AI model to solve 10 long-standing open problems in mathematics and theoretical computer science, completing the complex tasks for a total compute cost of approximately $2,000. The breakthroughs, which include proving the existence of nonsofic groups and disproving Connes' Rigidity Conjecture, demonstrate a significant leap in the ability of artificial intelligence to handle high-level scientific reasoning.

The researchers provided the results with machine-verifiable proofs using the Lean formalization language and step-by-step explanations of the logic. While the new model family represents a jump in performance over previous versions, the team noted that Astra has not yet solved the Millennium Prize problems or created new mathematical conjectures, indicating its current limits in theoretical discovery.