Summary
Two Minute Papers host Dr. Karoly Zsolnai-Fehér covers what may be one of the most significant mathematical breakthroughs in modern history: OpenAI’s AI system has very likely solved the Navier-Stokes existence and smoothness problem, one of the seven Millennium Prize Problems carrying a $1 million award. The video explains that two external scientists had already made meaningful progress — acknowledged by legendary mathematician Terence Tao — and that OpenAI’s system, described as more powerful than Astra, extended their work to reach a full solution in approximately 3.5 days.
The video walks through the Navier-Stokes equations themselves — the mathematical framework governing fluid motion via advection, pressure, and diffusion — and explains the core question: whether smooth initial conditions can evolve into mathematical singularities. The answer, per OpenAI’s solution, appears to be yes under carefully constructed vortex conditions, though this is not known to occur in nature.
Dr. Zsolnai-Fehér raises pointed concerns about attribution for the two outside researchers whose foundational work enabled the breakthrough, and highlights a data-privacy dimension: OpenAI acknowledged it cannot rule out that the scientists’ extensive use of ChatGPT and Claude may have contributed to model training. The host reiterates his standing argument that running open-weight AI systems locally is the only way to guarantee that proprietary research prompts stay private.
📺 Source: Two Minute Papers · Published September 10, 2026
🏷️ Format: News Analysis
