Function Repository Resource:

GaussianIntegerQ

Determine if a number is a Gaussian integer

Contributed by: Arnoud Buzing

ResourceFunction["GaussianIntegerQ"][z]

gives True is z is a Gaussian integer and False otherwise.

Details and Options

A Gaussian integer is a number whose real and imaginary parts are both integers.

Zero is a Gaussian integer:

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Any integer is a Gaussian integer:

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A complex number with integer real and imaginary parts is a Gaussian integer:

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Non-integer numbers are not Gaussian integers:

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$ResourceFunction["GaussianIntegerQ"][2 + \[Pi] I]$

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