Prove the following: If (p) is prime, then (phileft(p^{i}ight)=p^{i}-p^{i-1}). Hint: What numbers have a factor in common

Question:

Prove the following: If \(p\) is prime, then \(\phi\left(p^{i}ight)=p^{i}-p^{i-1}\). Hint: What numbers have a factor in common with \(p^{i}\) ?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  answer-question
Question Posted: