OpenAI’s October 6, 2026 release of 722 AI-generated papers resolving or advancing 377 open problems across number theory, topology, algebraic geometry, and related fields has sharply elevated trader expectations for additional breakthroughs before year-end. The internal frontier model produced these results—many Lean-verified—after tackling roughly 4,000 problems, following its earlier claimed solution to the Navier-Stokes Millennium problem. Top models now post FrontierMath scores above 90 percent on advanced tiers, with OpenAI variants leading, though full official announcements of solved conjectures remain the market resolution trigger. Hodge Conjecture currently leads implied odds amid the surge in demonstrated capabilities, while harder targets like Riemann Hypothesis or P versus NP trade lower due to verification hurdles and the need for explicit lab declarations rather than partial progress. Further releases from OpenAI, Anthropic, or Google and independent mathematician reviews represent the main near-term catalysts.