Recent AI breakthroughs in formal mathematical reasoning, including OpenAI’s September 2026 solution of the Navier-Stokes problem via thousands of coordinated agents and Lean-verified proofs, have elevated expectations that large language models and multi-agent systems will tackle additional Millennium Prize Problems by late 2027. Trader sentiment favors the Hodge Conjecture at 42.5% implied probability due to parallel advances in algebraic geometry, such as AI-assisted resolutions of related Hilbert-function questions and geometry benchmarks, positioning it as the most accessible target for current model architectures. Birch and Swinnerton-Dyer at 20.5% reflects ongoing number-theory work aided by LLMs, while the 15% chance of no further solutions by the deadline accounts for verification timelines, potential proof gaps, and the inherent difficulty of problems like Yang-Mills or Riemann. Lower odds for P versus NP underscore its computational complexity barriers despite broader AI progress.