# Jacobi symbol

> English word · Noun

## Definitions
1. A mathematical function of integer a and odd positive integer b, generally written (a/b), based on, for each of the prime factors pᵢ of b, whether a is a quadratic residue or nonresidue modulo pᵢ.

## Etymology
Named after German mathematician Carl Gustav Jakob Jacobi, who introduced the notation in 1837.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/jacobi-symbol