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.