Noun
Gaussian prime (plural Gaussian primes)
(mathematics) A Gaussian integer .mw-parser-output .texhtml{font-family:"Nimbus Roman No9 L","Times New Roman",Times,serif;font-size:118%;line-height:1;white-space:nowrap;font-feature-settings:"lnum","tnum","kern"0;font-variant-numeric:lining-nums tabular-nums;font-kerning:none}.mw-parser-output .texhtml .texhtml{font-size:100%}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 a + b is a prime number (which will not be of the form 4n + 3).