Gaussian prime

noun

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 n a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will never be of the form 4n + 3).

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Meanings

nounGaussian prime (plural Gaussian primes)

plural Gaussian primes

  1. mathematicsA 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 n a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will never be of the form 4n + 3).
Cite this entry
APA

Gaussian prime. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Gaussian%20prime

MLA

“Gaussian prime.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Gaussian%20prime. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Gaussian prime,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Gaussian%20prime.

Source: Gaussian prime on Wiktionary, CC BY-SA 4.0.