This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 BUILT-IN MATHEMATICA SYMBOL Tutorials »| See Also »| More About »

# GaussianIntegers

 GaussianIntegersis an option for FactorInteger, PrimeQ, Factor, and related functions that specifies whether factorization should be done over Gaussian integers.
• The Gaussian primes used when GaussianIntegers->True are chosen to have both real and imaginary parts positive.
Factor a polynomial over :
Factor an integer over :
Factor a polynomial over :
 Out[1]=
Factor an integer over :
 Out[2]=
 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:
For Factor, GaussianIntegers->True is equivalent to Extension->I:
New in 2