---
tag: 0HYRJF4WNQ
kind: concept
name: Norm of a Gaussian integer
msc: [11R11]
sources:
  - url: https://en.wikipedia.org/wiki/Gaussian_integer
    locator: lead section
---

## Summary

The norm of a Gaussian integer $a + bi$ is the integer $a^2 + b^2$. It is multiplicative.
The [[definition of the norm|00HPT88ZX0]] gives the precise form.