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A134653
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Number of Gaussian primes a+b*i in the first quadrant (a>0,b>=0) such that n<norm<=1+n.
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0
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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
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1,3
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=1..61.
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EXAMPLE
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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
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CROSSREFS
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Cf. A055026.
Sequence in context: A064126 A175333 A130845 * A090207 A202538 A239736
Adjacent sequences: A134650 A134651 A134652 * A134654 A134655 A134656
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KEYWORD
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easy,nonn
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AUTHOR
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Philippe Lallouet (philip.lallouet(AT)orange.fr), Jan 31 2008
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STATUS
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approved
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