Which Millennium Prize Problem will AI solve next?

This market will resolve according to the first qualifying Millennium Prize Problem for which an eligible AI lab announces a solution by December 31, 2027, 11:59 PM ET. If no eligible AI lab announces a solution to a qualifying problem by December 31, 2027, 11:59 PM ET, this market will resolve to "No solution by Dec 31, 2027". If solutions to two or more qualifying problems are announced on the same calendar day (ET), this market will resolve to the problem whose name, as listed below, comes first in alphabetical order. The qualifying problems are, in alphabetical order, the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, P versus NP, the Riemann Hypothesis, and the Yang-Mills existence and mass gap problem (https://www.claymath.org/millennium-problems/). Announcements concerning the Navier-Stokes existence and smoothness problem will not qualify. A qualifying announcement must be made by an eligible AI lab or an official representative of the lab, and must express that the problem has been solved; announcements of partial results or progress toward a solution will not qualify. The announcement must present the solution as the work of the lab, its researchers, or its models, alone or jointly with outside researchers. … (condensed)