Open problem
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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. These students as well as faculty members engaged in research attempt to solve such problems. Recent examples of closed, or solved, problems by faculty members are Fermat's last theorem and the Four color theorem.
Important open problems exist in many fields, such as in the field of theoretical computer science, computer scheduling, real-time computing, physics and mathematics.