Chapter 8 Exercise 7

This software determines the order of , 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 for all primes p.
(Please install java SDK or JDK on your computer if you could not see the program below.)