Anthropic employee Levent Alpöge’s September 2026 collaboration with NYU mathematician Tristan Buckmaster produced major AI-assisted advances on Navier-Stokes precursors, including forced Euler blowups, using Claude and other large language models. This placed the company at the center of the first major AI-driven progress toward a Millennium Prize solution, even as OpenAI separately claimed a full Navier-Stokes resolution days later amid priority disputes. Traders weigh Anthropic’s current lead in model rankings and math-capable internal research against the lack of any official company announcement claiming a complete prize problem. Competitive pressure from OpenAI’s multi-agent approach and Clay Institute scrutiny of the proofs could accelerate or delay an Anthropic claim, with resolution hinging on whether further internal model work yields a verifiable, company-endorsed solution before the market deadline.