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 engage in research to solve such problems. Examples of problems that have been closed, or solved, by faculty members in the late twentieth century are Fermat's last theorem and the Four color theorem.

Important open problems exist in many fields, such as theoretical computer science, real-time computing, physics and mathematics.

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