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.

$n$: