The tight race between the Hodge Conjecture and no Millennium Prize solution by December 31, 2027, both at 29.5% implied probability, reflects trader consensus on AI's accelerating formal reasoning capabilities while highlighting the depth of these open problems. Recent large language model and AI system advances, such as improved performance on mathematical benchmarks and automated theorem proving, have boosted optimism for fields like algebraic geometry underlying the Hodge Conjecture, yet the absence of verified breakthroughs on any prize problem sustains strong support for the no-solution outcome. Birch and Swinnerton-Dyer at 22.5% trails due to its number-theoretic complexity, while lower odds on Riemann Hypothesis, P versus NP, and Yang-Mills underscore fewer demonstrated AI pathways. Upcoming model releases and math-specific training could shift these market-implied odds rapidly.