Development of an Arithmetic Function using Euler’s Phi Function and Study of its Properties

摘要

The central results of this article are ? ? ? Φ????Φ? ??? ??equals to (n-1) whenever‘n’ is a prime number and it equals to (n) otherwise. These results can be used todetermine and define the set of prime numbers. This result can also be used to realizethe density of prime numbers in a given interval.