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Search: id:A038624
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| A038624 |
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Values of pi(x) where x exceeds n * pi(x). |
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+0
4
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| 1, 1, 12, 31, 69, 181, 443, 1052, 2701, 6455, 15928, 40073, 100362, 251707, 637235, 1617175, 4124437, 10553415, 27066974, 69709680, 179992909, 465769803, 1208198526, 3140421716, 8179002096, 21338685407, 55762149030, 145935689361
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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"Exceeds" can be interpreted as ">" or ">=" since the corresponding primes are never multiples of their indices. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2008
Equivalently, a(n) = minimal k such that prime(k)/k >= n. - Enoch Haga (Enokh(AT)comcast.net), Oct 19 2007
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EXAMPLE
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x exceeds 3*pi(x) when pi(x)=12, so a(3)=12
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CROSSREFS
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Cf. A038623-A038627.
Essentially the same as A062742.
Sequence in context: A007308 A065138 A008841 this_sequence A074299 A118528 A031118
Adjacent sequences: A038621 A038622 A038623 this_sequence A038625 A038626 A038627
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KEYWORD
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nonn,new
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net)
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EXTENSIONS
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a(24)-a(28) from Robert G. Wilson v (rgwv(at)rgwv.com), Sep 26 2005
Edited by njas, Jun 30 2008 at the suggestion of R. J. Mathar.
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