GaussInt
GIsieve
Gaussian prime generator
Calling Sequence
Parameters
Description
Examples
GIsieve(m)
m
-
positive integer
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 0≤y<x .
Any prime found in that area has seven more associated primes: −x+Iy, ±x−Iy, ±y−Ix, except for 1+I which exceptionally lies on x=y and has only three associated primes.
withGaussInt:
GIsieve10
14,1+I,2+I,3,3+2I,4+I,5+2I,6+I,5+4I,7,7+2I,6+5I,8+3I,8+5I,9+4I
plots:-displayplots:-complexplotGIsieve1002,style=point,plotx,x=0..100
See Also
GaussInt[GInorm]
Download Help Document