# Definition:Gaussian Prime/Definition 2

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## Definition

A **Gaussian prime** is a Gaussian integer which has exactly $8$ divisors which are themselves Gaussian integers.

## Examples

The following are examples of **Gaussian primes**:

- $1 + i$
- $4 - i$
- $7 + 2 i$

## Also see

- Results about
**Gaussian primes**can be found**here**.

## Source of Name

This entry was named for Carl Friedrich Gauss.

## Historical Note

The concept of a Gaussian prime was introduced by Carl Friedrich Gauss in his papers of $1828$ and $1832$.