The close contest between Hodge Conjecture (30.5% implied probability) and no solution by December 31, 2027 (29.5%) highlights trader consensus that current large language models and reasoning systems lack the novel mathematical insight required for these problems despite rapid capability gains. Birch and Swinnerton-Dyer (22.5%) trails as traders weigh its number-theoretic structure against demonstrated AI performance on abstract geometry versus arithmetic conjectures. Low odds on Riemann Hypothesis, P versus NP, and Yang-Mills reflect perceived barriers in computational complexity and physics integration. Key catalysts ahead include major model releases and specialized math benchmarks that could alter positioning before the 2027 cutoff.