Problem 46681. Determine the kth Primitive Root of Unity

Created by David Hill

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Determine all prime numbers less than n (input) that have a kth (k&lt;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).</span></span></div></div></div>

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Last Solution submitted on Jan 24, 2022

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David Hill on 13 Oct 2020

See: https://en.wikipedia.org/wiki/Root_of_unity_modulo_n
kth root of unity modulo n (prime number), such that k

Rafael S.T. Vieira on 14 Oct 2020

Thanks, David. I will try once again. (I've deleted my previous comment since you changed the problem description and to not confuse people.)

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Problem 46681. Determine the kth Primitive Root of Unity

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Problem 46681. Determine the kth Primitive Root of Unity

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