Traders see the "no solution by end of 2027" outcome edging ahead at 32.5% because current large language models and formal systems like Lean demonstrate strong performance on contest math and narrow benchmarks yet lack the conceptual leaps required for Millennium Prize Problems. Hodge Conjecture at 30.5% benefits from its algebraic geometry structure, which aligns with emerging AI strengths in pattern recognition and automated theorem proving, while Birch and Swinnerton-Dyer at 24.5% draws interest from number theory applications. Lower odds on P versus NP, Riemann Hypothesis, and Yang-Mills reflect their deeper computational and analytic barriers. Key upcoming catalysts include further scaling of AI reasoning models and any verified formal proofs submitted to the Clay Mathematics Institute.