This software computes the order of . Run the program for

Chapter 6, Problem 1CE

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Problem 1CE

This software computes the order of . Run the program for n = 3, 5, 7, 11. Make a conjecture about the order when n is prime. Run the program for n = 4, 8, 16, 32. Make a conjecture when n is a power of 2. Run the program for n = 6, 10, 14, 22. Make a conjecture when n is twice a prime. Run the program for n = 9, 15, 21, 33. Make a conjecture when n is 3 times a prime. Try to deduce a general formula for the order of .

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