Gaussian prime

English

Noun

Gaussian prime (plural Gaussian primes)

(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 $4 n + 3$ (with m a nonnegative integer); or both are nonzero and $a 2 + b 2$ is a prime number (which will not be of the form $4 n + 3$ ).

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