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Gaussian integers are complex numbers whose real and imaginary parts are integers. . . . . . .
Gaussian integers are members of the imaginary quadratic field Q(sqrt(-1))
Gaussian integers form a ring, denoted Z[i]
Gaussian integers can be uniquely factored in terms of other Gaussian integers (known as Gaussian primes) up to powers of i and rearrangements.
The units of Z[i] are ±1 and �i.
Wikipedia: Gaussian integer
Mathworld: Gaussian Integer, Imaginary Quadratic Field
Fact Archive: Gaussian integer
The webmaster and author of this Math Help site is Graeme McRae.