GaussianIntegers

GaussianIntegers

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

Details

Examples

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Basic Examples  (1)

Factor a polynomial over :

Factor an integer over :

Scope  (3)

By default polynomial factorization is performed over the rationals:

This specifies that the factorization should be done over :

By default integer factorization is performed over the integers:

This specifies that the factorization should be done over the Gaussian integers:

A number prime over the integers may not be prime over the Gaussian integers:

Properties & Relations  (1)

For Factor, GaussianIntegers->True is equivalent to Extension->I:

Introduced in 1991
 (2.0)