Gaussian Primes

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range of plot
show mesh
show scale
prime factors of integer
The pattern of Gaussian primes in the complex plane.

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.

External 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

Stephen Wolfram
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​"Gaussian Primes"​
​http://demonstrations.wolfram.com/GaussianPrimes/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007