Gaussian prime

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Noun

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Gaussian prime (plural Gaussian primes)

  1. (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).