**Gaussian Primes**

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

Read more about this topic: List Of Prime Numbers, Lists of Primes By Type

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

Prime Number - Generalizations - Prime Elements in Rings

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**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

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**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 ...Main Site Subjects

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