Trader consensus positions no solution by December 31, 2027 as the leading outcome at 36.5% implied probability, reflecting skepticism that current large language models and theorem-proving systems can deliver the novel conceptual breakthroughs required for Millennium Prize Problems within the narrow window. Among specific conjectures, Yang-Mills and the Hodge Conjecture lead at 21.2% and 18.0% respectively, as traders weigh AI's growing facility with algebraic geometry and quantum field theory against persistent gaps in rigorous proof generation. Lower odds on Birch and Swinnerton-Dyer, Riemann Hypothesis, and P versus NP underscore the exceptional difficulty of analytic number theory and computational complexity challenges. Recent model releases have demonstrated incremental gains on competition-level math benchmarks, yet these remain far from the creative leaps needed, with product timelines and capability thresholds likely to shift probabilities quickly.
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