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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+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+Iy, ±xIy,  ±yIx, except for 1+I which exceptionally lies on x=y and has only three associated primes.

Examples

withGaussInt&colon;

GIsieve10

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

(1)

plots:-displayplots:-complexplotGIsieve1002&comma;style=point&comma;plotx&comma;x=0..100

See Also

GaussInt[GInorm]