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GaussInt

  

GIsieve

  

Gaussian prime generator

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GIsieve(m)

Parameters

m

-

positive integer

Description

• 

The GIsieve function generates a list of Gaussian primes x&plus;Iy whose norms are less than or equal to m2, and who are located in the one-eighth plane defined by 0y<x .

• 

Any prime found in that area has seven more associated primes: x&plus;Iy, ±xIy,  ±yIx, except for 1&plus;I which exceptionally lies on x&equals;y and has only three associated primes.

Examples

withGaussInt&colon;

GIsieve10

14&comma;1&plus;I&comma;1&plus;2I&comma;3&comma;2&plus;3I&comma;1&plus;4I&comma;2&plus;5I&comma;1&plus;6I&comma;4&plus;5I&comma;7&comma;2&plus;7I&comma;5&plus;6I&comma;3&plus;8I&comma;5&plus;8I&comma;4&plus;9I

(1)

See Also

GaussInt[GInorm]

 


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