1. ## Euler totient function

let $\displaystyle n,a$ be positive integers $\displaystyle p$ be prime with $\displaystyle a<p$

if $\displaystyle n \equiv a\mod(p^3)$ is squarefree

then

$\displaystyle \phi(n) \not\equiv a \mod(p^2)$

2. ## Question

Is this a problem or your observation?

Show that
if...
then...