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 \(p\).
\(p\):