Determine all prime numbers less than n (input) that have a kth (k<prime number) root of unity modulo (prime number) and determine the primitive kth root of unity for each of those prime numbers (modulo those prime numbers).
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See: https://en.wikipedia.org/wiki/Root_of_unity_modulo_n
kth root of unity modulo n (prime number), such that k
Thanks, David. I will try once again. (I've deleted my previous comment since you changed the problem description and to not confuse people.)