Anthropic employee Levent Alpöge collaborated on major progress toward Navier-Stokes-related fluid equations in August 2026 using Claude alongside OpenAI tools, but the company has not announced a full Millennium Prize solution. OpenAI’s September claim of resolving the Navier-Stokes existence and smoothness problem via thousands of internal agents triggered priority disputes and shifted attention, while Anthropic instead highlighted verifiable advances such as the first complete Lean formalization of Fermat’s Last Theorem and an improved 67.2% lower bound on Riemann zeta zeros. Traders see limited near-term catalysts for an Anthropic announcement given the lab’s focus on formalization, partial results, and competitive positioning versus OpenAI’s scale. Upcoming model releases or Clay Institute validation could alter sentiment, though full prize-level claims remain uncertain.