**Exercise 1.**
This software determines if \(U(n)\) is cyclic. Run the program for
\(n\) = 8, 16, 32, 64 and 128. Make a conjucture. Run the program for
3. 9. 27. 81, 243, 5, 25, 125, 7, 49, 11 and 121. Make a conjecture.
Run the program for \(n\) = 12, 20, 28, 44, 52, 15, 21, 33, 39, 51, 57,
69, 35, 55, 65 and 85. Make a conjecture.

Please enter \(n\) here,