The tight contest between the Hodge Conjecture at 30.5% implied probability and "no solution by December 31, 2027" at 28.5% reflects trader caution about AI delivering a verified Millennium Prize resolution within the next 15 months. Recent demonstrations of large language models advancing formal theorem proving and automated reasoning have lifted interest in algebraically structured problems like Hodge, while Birch and Swinnerton-Dyer sits close behind at 24.5% on the strength of number-theoretic pattern recognition. Lower odds on Riemann, P versus NP, and Yang-Mills underscore the deeper conceptual barriers these problems pose for current machine-learning approaches, even as scaling laws and specialized math benchmarks continue to evolve.