Anthropic employee Levent Alpöge’s September 2026 collaboration with mathematician Tristan Buckmaster produced AI-assisted advances on forced Euler and related equations using Claude models, sparking rumors of a full Navier-Stokes Millennium solution that OpenAI quickly countered with its own internal model announcement resolving statements C and D. The Clay Mathematics Institute described the Navier-Stokes result as apparently settled but has not awarded any prize, and no official Anthropic corporate announcement has claimed a complete Millennium resolution. Subsequent OpenAI releases of hundreds of additional math proofs have highlighted competitive gaps in frontier model capabilities. Traders are watching for Anthropic model updates, Lean formalizations, or Clay Institute validation timelines that could shift the low implied probability of an imminent company-led announcement.