# List of Prime Numbers - Lists of Primes By Type - Gaussian Primes

Gaussian Primes

Prime elements of the Gaussian integers (primes of form 4n + 3).

3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107, 127, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263, 271, 283, 307, 311, 331, 347, 359, 367, 379, 383, 419, 431, 439, 443, 463, 467, 479, 487, 491, 499, 503 ( A002145)

### Other articles related to "prime, gaussian":

Prime Number - Generalizations - Prime Elements in Rings
... Prime numbers give rise to two more general concepts that apply to elements of any commutative ring R, an algebraic structure where addition, subtraction and multiplication are defined prime ... An element p of R is called prime element if it is neither zero nor a unit (i.e ... In the ring Z of integers, the set of prime elements equals the set of irreducible elements, which is In any ring R, any prime element is irreducible ...
Gaussian Integer - As A Principal Ideal Domain
... The Gaussian integers form a principal ideal domain with units 1, −1, i, and −i ... If x is a Gaussian integer, the four numbers x, ix, −x, and −ix are called the associates of x ... As for every principal ideal domain, the Gaussian integers form also a unique factorization domain ...