I am a secondary school student, so I don't have much of a math background. The replies so far have left me bewildered!

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- Dec 23rd 2009, 12:42 PMVitruvian
- Dec 23rd 2009, 01:33 PMchiph588@
Well then all you should know about the Riemann Hypothesis is it states that for a particular function in the complex plane denoted $\displaystyle \zeta(s) $, the only zeros in the strip $\displaystyle 0<\text{Re}(s)<1 $ occur when $\displaystyle s=\frac{1}{2}+it $.

- Dec 23rd 2009, 01:40 PMchiph588@
There really aren't many uses for the RH outside of math with the exception of cryptography perhaps. The reason is because cryptography utilizes the "randomness" of the prime numbers and proving the Riemann Hypothesis is equivalent to putting a really tight error term in the prime number theorem.

Other applications of proving RH are stated here:

Consequences of the Riemann hypothesis

Consequences of the Generalized Riemann hypothesis