Trader sentiment reflects the narrow gap between the Hodge Conjecture at 30.5% and no solution by December 31, 2027, at 29.5%, driven by steady progress in AI theorem-proving systems but uncertainty over timelines for abstract geometric and algebraic breakthroughs. Large language models continue to post gains on formal math benchmarks, yet Millennium Prize Problems demand novel reasoning beyond current demonstrated capabilities. Birch and Swinnerton-Dyer at 24.5% draws support from number theory connections in machine learning, while Yang-Mills, Riemann Hypothesis, and P versus NP remain low-probability due to deeper computational and conceptual hurdles. Upcoming model releases and AI-focused math conferences could introduce new information that shifts these market-implied odds.