Exercise 2. This software lists the element of \(Z_n\) that generates all of \(Z_n\)-that is, those elements \(k, 0 \leq k \leq n-1 \), for which \(Z_n\) = <\(k\)> . How does this set compare with \(U(n)\)? (See computer exercise 1a in Chapter 2.) Make a conjecture.

Please enter \(n\) and click the button, generators of \(Z_n\) will show below.