The close race among Hodge Conjecture at 30.5 percent implied probability, no solution by end of 2027 at 29.5 percent, and Birch and Swinnerton-Dyer at 24.5 percent reflects trader consensus on the steep barriers AI faces in proving these abstract problems before the deadline. Recent gains in large language models and theorem-proving systems have boosted capabilities on competition-level math benchmarks, yet Millennium Prize Problems demand novel conceptual breakthroughs beyond current pattern-matching strengths. Key swing factors include accelerated scaling of reasoning models, potential hybrid AI-human approaches, and any demonstrated progress on related open questions that could shift timelines. The low odds on Riemann Hypothesis and P versus NP underscore their perceived intractability in the near term amid ongoing uncertainty in AI forecasting.