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 $$p$$.