Gaussian integer

Complex number whose real and imaginary parts are both integers

EntityQ724975

Also known as complex integer

Subclass of: quadratic integer
, Gaussian rational

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as or

Overview

All data

15 statements · 7% with external sources · numbers in brackets are citations

Named after: Carl Friedrich Gauss
Different from: Gaussian rational
Studied by: theory of Gaussian integer

On other databases

11 identifiers linking Gaussian integer across the web's reference databases

Data quality

statements

externally sourced

Source last edited September 28, 2026. AIDB refreshes this page daily.

Suggest a fact or correction

Links

Use this data

curl https://aidb.si/api/v1/entities/Q724975

API docs, limits & keys

Cite this page

AIDB. (2026). Gaussian integer (Q724975). Retrieved from https://aidb.si/e/gaussian-integer-Q724975