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Part of the glamour, mystery, and excitement of mathematics involves finding solutions to famous problems. The Four-Color Problem and Fermat's Last Theorem have been solved fairly recently to great public acclaim. Both of these long-standing problems are easy to state even though their solutions baffled the best minds in mathematics for centuries. There is general agreement in the mathematical community that the most important unsolved problem of mathematics now is the Riemann Hypothesis. This hypothesis involves concepts of advanced mathematics but connects to elementary notions such as prime numbers. A proper understanding of the Riemann Hypothesis requires some advanced mathematics, but you will see how Mathematical Explorer allows us to understand some of the functions related to the Riemann function and to examine some of the evidence for the truth of the Riemann Hypothesis.