Exercise 6. This software determines the order of $Aut(Z_p \oplus Z_p)$, where $p$ is a prime less than 101. Run the software for $p = 3, 5,$ and $7$. Is the result always divisible by $p$? Is the result always divisible by $p-1$? Is the result always divisible by $p+1$? Make a conjecture about the order of $Aut(Z_p \oplus Z_p)$ for all primes $p$.

Please enter $p$.
$p$: