OpenAI holds a 67% market-implied edge in reaching the next Millennium Prize solution because its internal models delivered a verified Navier-Stokes proof in September 2026, followed by hundreds of additional breakthroughs on open math problems in early October. The company deployed thousands of agents over days of compute to produce Lean-formalized results on fluid-dynamics singularities and related conjectures, outpacing Anthropic’s concurrent progress on the forced Euler equations via researcher Levent Alpöge. Traders cite OpenAI’s larger reported investment in specialized math agents and its rapid expansion to other prize-linked problems as the decisive factors. Upcoming catalysts include further internal model releases and Clay Institute review timelines that could confirm additional solutions.