Millennium Prize Problems:The seven problems proposed by the Clay Mathematics Institute: P versus NP; Hodge Conjecture; Poincaré Conjecture; Riemann Hypothesis; Yang-Mills Existence and Mass Gap; Navier-Stokes Existence and Smoothness; Birch and Swinnerton-Dyer Conjecture. Resources include articles on each problem by leading researchers.
Mathematical Problems: In various subjects, compiled by Torsten Sillke.
Most Wanted List: Elementary unsolved problems in mathematics, listed at the MathPages archive.
Unsolved Mathematics Problems: Compiled by Steven Finch. Descriptions of some unsolved problems and numerous links to other collections.
Unsolved Problem of the Week Archive: A list of unsolved problems published by MathPro Press during 1995.