Gaussian prime

Noun

 * 1)  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 $a^{2} + b^{2}$ is a prime number (which will not be of the form $4n + 3$).