Exercise 6. This software determines the zero-divisors in Zn [i] = { a+bi | a, b belong to Zn }. Use the software to formulate and test conjectures about the number of zero-divisors in Zn[i] based on various conditions of n. Run the program for n = 5, 13, and 17. Make conjecture about the number of zero-divisors for primes of this form. Run the program for n = 3, 7, 11, and 19. Make conjecture about the number of zero-divisors for primes of this form.

Please input set size n here:

Example: this software accepts multiple values of n. If you want to calculate n for 3, 7, 11, and 19, just input 3, 7, 11,and 19 into the above input text box and press "What's the result?" button. If you just want to input a single value of n, input that value into the above input text box and press "What's the result?" button.