Exercise 2. This software lists all nilpotent elements (see the chapter exercises for definition) in \(Z_n\). Run your program for various values of \(n\) . Use these data to make conjectures about nilpotent elements in \(Z_n\) as a function of \(n\).

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