---
tag: 074P7C85XH
kind: concept
name: Gaussian integer
msc: [11R11]
sources:
  - url: https://en.wikipedia.org/wiki/Gaussian_integer
    locator: lead section
---

## Summary

A Gaussian integer is a complex number $a + bi$ with integers $a$ and $b$. The Gaussian integers form the ring $\mathbb{Z}[i]$.
The [[definition of a Gaussian integer|0B268GVX95]] gives the precise form.