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Search: id:A062743
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| A062743 |
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Smallest prime p(m) such that Floor[p(m)/m]=n. |
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+0
4
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| 3, 2, 37, 127, 347, 1087, 3109, 8419, 24317, 64553, 175211, 480881, 1304707, 3523901, 9558533, 25874843, 70115473, 189961529, 514272533, 1394193607, 3779851091, 10246935679, 27788566133, 75370121191, 204475052401
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n+1)/a(n) -> e as n -> infinity, as do the m's.
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LINKS
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Robert G. Wilson v, Table of n, a(n) for n = 1..29
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FORMULA
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A062742(n)=pi(a(n))
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MATHEMATICA
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Do[ k = 1; While[ Floor[ Prime[m]/ m] != n, m++ ]; Print[Prime[k] ], {n, 1, 27} ]
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CROSSREFS
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Essentially the same as A038623.
Cf. A038607. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 30 2009]
Sequence in context: A054676 A154332 A136635 this_sequence A013324 A009084 A096057
Adjacent sequences: A062740 A062741 A062742 this_sequence A062744 A062745 A062746
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KEYWORD
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easy,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jul 12 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 13 2001
a(27) from Farideh Firoozbakht, Sep 12 2005
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 14 2006
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