---
tag: 0ADTQBXRMC
kind: concept
name: Jacobi symbol
msc: [11A15]
sources:
  - url: https://en.wikipedia.org/wiki/Jacobi_symbol
    locator: lead section
same_as:
  wikidata: Q241015
  wikipedia: Jacobi symbol
---

## Summary

The Jacobi symbol $\left(\frac{a}{n}\right)$ extends the Legendre symbol to each odd positive integer $n$, as a product over the prime factors of $n$.
The [[definition of the Jacobi symbol|0XDB5AW7M1]] gives the precise form.