Recent OpenAI announcements of AI-agent-driven solutions to Navier-Stokes and partial proofs on Hodge-related cases have elevated trader expectations for rapid AI advances in abstract mathematics, yet the near-even split between “no solution by December 2027” at 32.5% and Hodge Conjecture at 30.5% reflects verification hurdles, community scrutiny of formal Lean proofs, and the inherent complexity of these problems. Birch and Swinnerton-Dyer trails at 20.5% amid fewer targeted breakthroughs, while lower-probability outcomes like Yang-Mills, Riemann Hypothesis, and P versus NP lag due to limited demonstrated progress on their specific structures. Upcoming model releases and benchmark gains in formal reasoning remain key swing factors for shifting sentiment before the 2027 cutoff.