Relation Between the Golden Ratio Phi and Zeta Function SUM

Abstract

This paper will explain the relation between the golden ratio Phi and Zeta function SUM. First, we will introduce why we used Phi and its functional properties then we will go through some of Phi Properties in a complex plane. Finally, we will use this Golden ratio Phi functional formula, to find the sum of the Prime numbers in Zeta function infinite series in relation with the Golden ration Phi, and pi.