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 A091100 Number of Gaussian primes whose norm is less than 10^n. 3
 16, 100, 668, 4928, 38404, 313752, 2658344, 23046512, 203394764, 1820205436, 16472216912, 150431552012, 1384262129028, 12819767598972, 119378281788240, 1116953361826164 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Marc Deléglise, Pierre Dusart, and Xavier-Francois Roblot, Counting primes in residue classes, Math. Comp. 73 (2004), no. 247, 1565-1575 Eric Weisstein's World of Mathematics, Gaussian Prime FORMULA a(2n) = 8*A091098(2n) + 4*A091099(n) + 4. a(n) ~ 4 Li(10^n) ~ k/n * 10^n, where k = 4/log(10) = 1.737.... - Charles R Greathouse IV, Oct 24 2012 MATHEMATICA Table[lim2=10^n; lim1=Floor[Sqrt[lim2]]; cnt=0; Do[If[x^2+y^2True], cnt++ ], {x, -lim1, lim1}, {y, -lim1, lim1}]; 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. Cf. A091134 (number of Gaussian primes whose modulus is less than 10^n). Cf. A017934, A295996. Sequence in context: A169721 A125326 A126484 * A061432 A115328 A223767 Adjacent sequences:  A091097 A091098 A091099 * A091101 A091102 A091103 KEYWORD nonn AUTHOR T. D. Noe, Dec 19 2003 EXTENSIONS a(10)-a(16) from Seiichi Manyama using the data in A091098, Dec 03 2017 STATUS approved

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Last modified January 19 09:35 EST 2019. Contains 319306 sequences. (Running on oeis4.)