---
tag: 0JTC045NNZ
kind: concept
name: Legendre symbol
msc: [11A15]
sources:
  - url: https://en.wikipedia.org/wiki/Legendre_symbol
    locator: lead section
same_as:
  wikidata: Q748339
  wikipedia: Legendre symbol
---

## Summary

The Legendre symbol $\left(\frac{a}{p}\right)$ takes the value $1$, $-1$ or $0$, and it tells whether $a$ is a square modulo an odd prime $p$.
The [[definition of the Legendre symbol|01J8AMV9RS]] gives the precise form.