

A134653


Number of Gaussian primes a+b*i in the first quadrant (a>0,b>=0) such that n<norm<=1+n.


0



0, 1, 3, 2, 2, 2, 5, 4, 2, 4, 7, 2, 4, 6, 2, 8, 8, 8, 7, 6, 8, 6, 5, 6, 10, 8, 6, 10, 8, 8, 9, 10, 8, 12, 10, 10, 8, 10, 8, 6, 14, 14, 7, 14, 10, 12, 11, 16, 16, 10, 8, 16, 18, 12, 10, 14, 14, 12, 17, 14, 16
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OFFSET

1,3


COMMENTS

This sequence is different from A055026, which counts the primes according to the exact value of their norm. The present one gives an idea of the variation of the density of Gaussian primes.


LINKS



EXAMPLE

Examples, written as (a,b) = norm(2 decimal digits):
n=0: No prime of norm <1, so a(0) =0
(1,1) = 1,41) hence a(1) =1
(1,2) and (2,1) = 2,23 (0,3) = 3 hence a(2)=3
(1,4) and (4,1) = 4,12 hence a(3)=2


CROSSREFS



KEYWORD

easy,nonn


AUTHOR

Philippe Lallouet (philip.lallouet(AT)orange.fr), Jan 31 2008


STATUS

approved



