Primitive Root of Unity

A number r is an nth root of unity if r^n=1 and a primitive nth root of unity if, in addition, n is the smallest integer of k=1, ..., n for which r^k=1.

See also

Principal Root of Unity, Root of Unity

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Nagell, T. Introduction to Number Theory. New York: Wiley, p. 157, 1951.

Referenced on Wolfram|Alpha

Primitive Root of Unity

Cite this as:

Weisstein, Eric W. "Primitive Root of Unity." From MathWorld--A Wolfram Web Resource.

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