Hello, As a hobby, using Mathematica, I tried to compute the Riemann prime pi function pi(x) that uses the non trivial zeros of the Zeta function to calculate the number of prime numbers until x. The formula of pi(x) is here:
https://fr.wikipedia.org/wiki/Fonction_R_de_Riemann
I use a loop to make the correction (with 100 zeros of Zeta) of R(x) and I should get an approximation of the exact number of prime numbers better than just using R(x).
But it doesn't work. Everything is explained in the notebook.
Can you help me?
