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Search: id:A091101
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| A091101 |
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Number of first-quadrant Gaussian primes whose norm is less than 10^n. |
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+0
3
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| 5, 27, 173, 1245, 9635, 78525, 664811, 5762247, 50850399
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Gaussian Prime
Index entries for Gaussian integers and primes
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FORMULA
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a(2n) = 2*A091098(2n) + 2*A091099(n) + 1
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MATHEMATICA
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Table[lim2=10^n; lim1=Floor[Sqrt[lim2]]; cnt=0; Do[If[x^2+y^2<lim2&&PrimeQ[x+I y, GaussianIntegers->True], cnt++ ], {x, 0, lim1}, {y, 0, lim1}]; cnt, {n, 6}]
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CROSSREFS
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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), A091100, A091102.
Sequence in context: A138772 A082425 A109963 this_sequence A023811 A126119 A105631
Adjacent sequences: A091098 A091099 A091100 this_sequence A091102 A091103 A091104
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Dec 19 2003
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