AI Giants Report Advances in Mathematical Research
AI Summary: OpenAI's internal AI system produced a proposed solution to the Navier-Stokes existence and smoothness problem, one of mathematics' seven Millennium Prize Problems, and released the proof and a computer-checkable formalization written in the Lean proof assistant. The AI system used a large-scale approach with 10,000 concurrent agents that communicated, used code, and consulted a cached version of the internet, exchanging 2.7 million messages and generating 130 billion output tokens to arrive at the proposed solution. The result was obtained after 88 hours, followed by 17 hours of formalization and verification using another AI model. This development suggests that frontier AI systems are beginning to generate candidate results that may qualify as genuinely new knowledge, making formal verification tools like Lean increasingly important.