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.
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.