Usually means: Complex numbers irreducible in Z[i].
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We found 5 dictionaries that define the word Gaussian prime:

General (2 matching dictionaries)
  1. Gaussian prime: Wikipedia, the Free Encyclopedia
  2. Gaussian prime: Wiktionary

Computing (1 matching dictionary)
  1. Gaussian prime: Encyclopedia

Science (2 matching dictionaries)
  1. Gaussian Prime: Eric Weisstein's World of Mathematics
  2. Gaussian prime: PlanetMath Encyclopedia

Definitions from Wiktionary (Gaussian prime)

noun:  (mathematics) A Gaussian integer a + bi such that either one of a, b is zero and the absolute value of the other is a prime number of the form 4n + 3 (with m a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will not be of the form 4n + 3).

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