# What impact would Riemann's conjecture if it had to be demonstrated as a whole?

I ask myself for many years without ever having answers that suit me.

What impact would Riemann's conjecture if it had to be demonstrated as a whole? What would be the impact on our lives?

I already know that the Riemann hypothesis holds its importance in number theory, particularly on prime numbers.

The Riemann hypothesis is one of seven Millenium problems, a reputed insurmountable mathematical challenge posed by the Clay Mathematics Institute in $2000$. One of the criteria why the institute has chosen seven problems was that the resolution would be a great interest to advance mathematics and society.

Can you share me your opinion on this question?

P.S. I already know there exists a similar question : Proving the Riemann Hypothesis and Impact on Cryptography and What is so interesting about the zeroes of the Riemann $\zeta$ function?. However, the question is not exactly the same.

The question has been modified

• The Riemann Hypothesis has no impact on RSA/criptography/secutiry whatsoever since it although predicts stuff about the distribution of primes, it doesn't say anything about methods of factorization. RSA is powerful because factoring numbers that are a product large primes is computationally difficult, and nothing short of an algorithm that finds prime factors of a given number faster will break it. Nov 7 '15 at 0:04
• RSA is by no means the most important real world cryptographic system. Nov 7 '15 at 0:06
• Extremely similar question: math.stackexchange.com/questions/1272296/… Nov 7 '15 at 0:09