An open problem is a problem that can be formally stated and for which a solution is known to exist but which has not yet been solved. It is common in graduate schools to point out open problems to students. However, Fermat's last theorem and the Four color theorem are two notable open problems that have been closed or solved by faculty members, as they would have more expertise and resources than students.
Important open problems exist in many fields, such as in the field of theoretical computer science, computer scheduling, and real-time computing.

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.
Meta Description: [ Seven one million dollar prizes to recognize the eventual solution of seven classic mathematical problems that have resisted solution. Announced May 24, 2004 ]
Mathematical Problems - In various subjects, compiled by Torsten Sillke.
Meta Description: [ Mathematical Problems of 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.
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