Primitive Root of Unity (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Algebra
• Cyclotomy

A number is an throot of unity if and a primitive th root of unity if, in addition, is the smallest integer of , ..., for which .

See also

Principal Root of Unity,Root of Unity

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More things to try:

• cyclotomic factorization
• 1,000,000th prime
• dodecahedron

References

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. https://mathworld.wolfram.com/PrimitiveRootofUnity.html

Subject classifications

• Algebra
• Cyclotomy