**Exercise 7.**
This software determines the order of \(Aut(Z_p \oplus Z_p \oplus Z_p)\), where \(p\) is a prime less than 101. Run the software for
\(p = 3, 5,\) and \(7\).
What is the highest power of \(p\) that divides the order? What is the highest power of \(p-1\) that divides the order? What is the highest power of \(p+1\) that divides the order? Make a conjecture about the order of \(Aut(Z_p \oplus Z_p \oplus Z_p)\) for all primes \(p\).

Please enter \(p\).