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What is a good mathematical explanation for High School Students that proving/disproving the Riemann hypothesis is important? I asked this because I wonder and want a comprehensive example why this question is worth a million (Is there even an application to elementary mathematics?). Thanks in advance.

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    Nobody knows whether it is true or false! This might be starting point.2012-03-21

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You might look at Dan Rockmore's book, "Stalking the Riemann Hypothesis", http://books.google.ca/books?id=cTVn9f9oKAgC

There are lots of connections to very cool things, but I don't know what would strike a high school student as important.