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 $1832$.