Category:Definitions/Gaussian Primes
Jump to navigation
Jump to search
This category contains definitions related to Gaussian Primes.
Related results can be found in Category:Gaussian Primes.
Definition 1
Let $x \in \Z \sqbrk i$ be a Gaussian integer.
$x$ is a Gaussian prime if and only if:
- it cannot be expressed as the product of two Gaussian integers, neither of which is a unit of $\Z \sqbrk i$ (that is, $\pm 1$ or $\pm i$)
- it is not itself a unit of $\Z \sqbrk i$.
Definition 2
A Gaussian prime is a Gaussian integer which has exactly $8$ divisors which are themselves Gaussian integers.
Pages in category "Definitions/Gaussian Primes"
The following 3 pages are in this category, out of 3 total.