9853
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Gaussian Primes
The pattern of Gaussian primes in the complex plane.
Contributed by:
Stephen Wolfram
SNAPSHOTS
DETAILS
Nonzero Gaussian integers can be expressed in a unique way (up to unit factors) as a product of Gaussian primes. The pattern of Gaussian primes in the complex plane shows symmetries with respect to the axes and the diagonals.
RELATED LINKS
Gaussian Integer
(
Wolfram
MathWorld
)
Gaussian Prime
(
Wolfram
MathWorld
)
Algebraic Integer
(
Wolfram
MathWorld
)
Algebraic Number
(
Wolfram
MathWorld
)
Complex Number
(
Wolfram
MathWorld
)
Prime Number
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Gaussian Primes
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/GaussianPrimes/
Contributed by:
Stephen Wolfram
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
Gaussian Prime Spirals
Joseph O'Rourke and Stan Wagon
Gaussian Divisors of an Integer
Stephen Wolfram
Table of Primes
Stephen Wolfram
Irreducible Gaussian Fractions
Eric W. Weisstein
Palindrome Primes
Peter Bohus and Márton Károlyi
Distribution of Primes
Hector Zenil
The Sequence of Primes
Abigail Nussey
How the Primes Are Distributed
Bill Collins
Gaps between Successive Primes
Daniel de Souza Carvalho
Gaps between Consecutive Primes
Michael Schreiber
Related Topics
Complex Numbers
Number Theory
Prime Numbers
High School Finite Mathematics
High School Mathematics
Visual Patterns
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+