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?
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.)