The function GIprime returns true in case z is a Gaussian prime, false otherwise.

A Gaussian prime is a Gaussian integer which is not a unity or zero, and which is divisible only by numbers associated with itself or with 1.

$\mathrm{with}\left(\mathrm{GaussInt}\right)\:$

$\mathrm{GIprime}\left(751\right)$

$\mathrm{true}$

$\mathrm{GIprime}\left(4+9\mathrm{I}\right)$

$\mathrm{true}$

$\mathrm{GIprime}\left(3+7\mathrm{I}\right)$

$\mathrm{false}$