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.) |