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
Notwithstanding Godel's proof, it would be another instance that if a conjecture seems true, it will eventually be proven to be so. I put this in the same class as the Collatz conjecture. Ed Gray