---
tag: 0EHM5ZP5QH
kind: concept
name: Primitive root of unity
msc: [11R18]
sources:
  - url: https://en.wikipedia.org/wiki/Root_of_unity
    locator: General definition
---

## Summary

A primitive $n$th root of unity is an $n$th [[root of unity|0YV2CKP2AV]] that is not a $k$th root of unity for a smaller positive $k$.
Its powers give all the $n$th roots of unity.