Recent AI-assisted mathematical progress by Anthropic researcher Levent Alpöge, collaborating with NYU's Tristan Buckmaster on forced Euler and related fluid dynamics problems using Claude and other large language models, has shaped trader views on the company's potential for a qualifying Millennium Prize announcement. OpenAI separately claimed a full Navier-Stokes solution in September 2026 via thousands of agents, highlighting intense lab competition, though that result falls outside the market's listed problems such as the Riemann hypothesis or P versus NP. Anthropic's models have delivered notable benchmark gains on zeta zeros and formalizations, yet no official company statement has confirmed a complete solution to an eligible problem. Traders watch for internal model releases or executive updates that could shift implied probabilities before year-end deadlines.