Thread: What is the significance of the Riemann Hypothesis?

Okay, so in the Riemann Zeta Function, every time it hits the x-axis (a zero), the real part is 1/2.

Why is this so important/significant? If this is true, what are the implications?

The Reimann theorem would 'predict' the occurence of the next prime number. So far, nobody has created this equation - the path to finding is perhaps long and complex, possibly even impossible. Prime numbers may not have ANY logical correlation at all - which tells us something quite fundamental about our universe, and how it's logic operates. Primes are extremely important numbers in mathematics - they are unique, and useful in many, many kinds of arithmetical science.

Originally Posted by Zesterer

The Reimann theorem would 'predict' the occurence of the next prime number. So far, nobody has created this equation - the path to finding is perhaps long and complex, possibly even impossible. Prime numbers may not have ANY logical correlation at all - which tells us something quite fundamental about our universe, and how it's logic operates. Primes are extremely important numbers in mathematics - they are unique, and useful in many, many kinds of arithmetical science.

Ok. So the problem is finding an equation to determine the next prime number, somehow relating to the Riemann Zeta Function. Is it just a general equation as in a sequential rule? How's it related to the Zeta function?