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Search: id:A134653
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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
1
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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
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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This sequence is different from A055026, which counts the primes acoording 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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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.
Adjacent sequences: A134650 A134651 A134652 this_sequence A134654 A134655 A134656
Sequence in context: A102845 A064126 A130845 this_sequence A090207 A065437 A097721
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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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