Recent OpenAI advances, including its September 2026 Navier-Stokes resolution via 10,000 AI agents and October release of hundreds of model-generated proofs, have elevated the Hodge Conjecture and Birch and Swinnerton-Dyer as leading contenders in trader consensus. These partial results on algebraic geometry and elliptic curves demonstrate rapid gains in large language model reasoning and multi-agent proof search, yet full verification in Lean and community acceptance remain uncertain amid ongoing scrutiny. This dynamic keeps the no-solution-by-end-2027 outcome closely competitive at 34.5 percent, with P versus NP and Riemann Hypothesis trailing due to greater perceived complexity. Upcoming catalysts include further formalizations and Clay Institute reviews that could shift market-implied odds.