11454
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Factoring Gaussian Integers
Every nonzero Gaussian integer
, where
and
are ordinary integers and
can be expressed uniquely as the product of a unit and powers of special Gaussian primes. Units are 1,
, -1,
. Special Gaussian primes are
and primes
with
and
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
J. H. Conway and R. K. Guy,
The Book of Numbers
, New York: Copernicus Books/Springer, 2006 pp. 217–220.
RELATED LINKS
Gaussian Integer
(
Wolfram
MathWorld
)
Gaussian Prime
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Factoring Gaussian Integers
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FactoringGaussianIntegers/
Contributed by:
Izidor Hafner
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Eisenstein Integer
Daniel de Souza Carvalho
Gaussian Divisors of an Integer
Stephen Wolfram
Gaussian Primes
Stephen Wolfram
Gaussian Prime Spirals
Joseph O'Rourke and Stan Wagon
Integer Value Spatial Distance
Michael Schreiber
Positive Integer Explorer
Chris Boucher
Ruffini-Horner Algorithm for Complex Arguments
Izidor Hafner
Irreducible Gaussian Fractions
Eric W. Weisstein
Extended GCD of Quadratic Integers
Abdelwaheb Miled and Ahmed Ouertani
Fermat's Little Theorem
Michael Schreiber
Related Topics
Algebra
Complex Numbers
Number Theory
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+