The tight race between the Hodge Conjecture at 30.5% and no Millennium Prize solution by December 2027 at 30% reflects trader views on AI's accelerating but unproven capacity for abstract mathematical reasoning. Large language models and formal proof systems have posted gains on competition benchmarks and automated conjecture generation, yet these open problems demand novel conceptual breakthroughs beyond current pattern-matching and verification tools. Hodge edges ahead due to its geometric structure aligning with emerging multimodal and graph-based AI techniques, while Birch and Swinnerton-Dyer at 22.5% benefits from number-theoretic datasets; lower odds for Riemann Hypothesis and P versus NP underscore the greater perceived barriers in analytic and computational complexity domains. Key catalysts include upcoming model releases and formal mathematics benchmarks through 2027.