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 A134653 Number of Gaussian primes a+b*i in the first quadrant (a>0,b>=0) such that n
 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; refs; listen; history; text; internal format)
 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 Table of n, a(n) for n=1..61. 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 Cf. A055026. Sequence in context: A064126 A175333 A130845 * A090207 A364571 A202538 Adjacent sequences: A134650 A134651 A134652 * A134654 A134655 A134656 KEYWORD easy,nonn AUTHOR Philippe Lallouet (philip.lallouet(AT)orange.fr), Jan 31 2008 STATUS approved

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Last modified December 5 10:40 EST 2023. Contains 367589 sequences. (Running on oeis4.)