Riemann's zeta function

Riemann's zeta function is expressed like this. This depends on Sieve of Eratosthenes.

According to index principle,

log1/A=－logA,so

Isaac Newton found

x=1/p^s (p is prime)

∴

This pattern is really complicated and miraculous. I'm in the spiral road.
Then, you need infinitesimal calculus.

I referred to Prime obsession.