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Search: id:A062773
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| A062773 |
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Index of the smallest prime which follows square of n-th prime. |
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+0
1
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| 3, 5, 10, 16, 31, 40, 62, 73, 100, 147, 163, 220, 264, 284, 330, 410, 488, 520, 610, 676, 706, 812, 887, 1001, 1164, 1253, 1295, 1382, 1424, 1524, 1878, 1977, 2142, 2191, 2490, 2548, 2730, 2916, 3044, 3242, 3437, 3513, 3869, 3946, 4090, 4165, 4628
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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a(n)=Pi[nextprime(p(n)^2)]
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EXAMPLE
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100th prime, 541 immediately follows 529, square of 9th prime,a(9)=100.
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PROGRAM
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(PARI) { default(primelimit, 64000000); for (n=1, 1000, write("b062773.txt", n, " ", primepi(nextprime(prime(n)^2))) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 10 2009]
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CROSSREFS
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A054270, A054271, A000879.
Sequence in context: A070559 A000990 A129361 this_sequence A079934 A005403 A018072
Adjacent sequences: A062770 A062771 A062772 this_sequence A062774 A062775 A062776
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jul 18 2001
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EXTENSIONS
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OFFSET changed from 0,1 to 1,1 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 10 2009
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