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 A091102 Number of first half-quadrant Gaussian primes whose norm is less than 10^n. 3
 3, 14, 87, 623, 4818, 39263, 332406, 2881124, 25425200, 227528084 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..10. Eric Weisstein's World of Mathematics, Gaussian Prime Index entries for Gaussian integers and primes FORMULA a(2n) = A091098(2n) + A091099(n) + 1 MATHEMATICA Table[lim2=10^n; lim1=Floor[Sqrt[lim2]]; cnt=0; Do[If[x^2+y^2True], cnt++ ], {x, 0, lim1}, {y, 0, x}]; cnt, {n, 6}] CROSSREFS Cf. A091098 (number of primes of the form 4k+1 less than 10^n), A091099 (number of primes of the form 4k+3 less than 10^n), A091101, A091102. Sequence in context: A087912 A308878 A051818 * A323771 A325140 A132624 Adjacent sequences: A091099 A091100 A091101 * A091103 A091104 A091105 KEYWORD nonn,more AUTHOR T. D. Noe, Dec 19 2003 EXTENSIONS a(10) calculated from the data at A091098 and A091099 by Amiram Eldar, Feb 28 2020 STATUS approved

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Last modified September 26 07:40 EDT 2023. Contains 365653 sequences. (Running on oeis4.)