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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
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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
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