GaussianIntegers

GaussianIntegers is an option for FactorInteger, PrimeQ, Factor and related functions which specifies whether factorization should be done over Gaussian integers.

With GaussianIntegers -> False, factorization is done over the ordinary ring of integers .

With GaussianIntegers -> True, factorization is done over the ring of integers with adjoined .

Example: FactorInteger[13, GaussianIntegers -> True] .

The Gaussian primes used when GaussianIntegers -> True are chosen to have both real and imaginary parts positive.

The first entry in the list given by FactorInteger with GaussianIntegers -> True may be -1 or -I.

See Section 3.2.4.

See also: Extension, ComplexExpand.

New in Version 2.

Further Examples