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 A134653 Number of gaussian primes a+b*i in the first quadrant (a>0,b>=0) such that n

%I

%S 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,

%T 12,10,10,8,10,8,6,14,14,7,14,10,12,11,16,16,10,8,16,18,12,10,14,14,

%U 12,17,14,16

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

%C 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.

%e Examples, written as (a,b) = norm(2 decimal digits):

%e n=0: No prime of norm <1, so a(0) =0

%e (1,1) = 1,41) hence a(1) =1

%e (1,2) and (2,1) = 2,23 (0,3) = 3 hence a(2)=3

%e (1,4) and (4,1) = 4,12 hence a(3)=2

%Y Cf. A055026.

%K easy,nonn

%O 1,3

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

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Last modified January 21 13:55 EST 2020. Contains 331113 sequences. (Running on oeis4.)