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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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Barry Mazur and William Stein are working on a non-technical book. You can read the drafts now! – Dylan Moreland Feb 24 '12 at 23:27
Nobody knows whether it is true or false! This might be starting point. – Balin Mar 21 '12 at 0:32
up vote 2 down vote accepted

You might look at Dan Rockmore's book, "Stalking the Riemann Hypothesis",

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

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