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A038624
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Values of pi(x) where x exceeds n * pi(x).
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11
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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
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OFFSET
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1,3
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COMMENTS
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"Exceeds" can be interpreted as ">" or ">=" since the corresponding primes are never multiples of their indices. - R. J. Mathar, Jun 08 2008
Equivalently, a(n) = minimal k such that prime(k)/k >= n. - Enoch Haga, Oct 19 2007
a(n) = A062742(n) = A038606(n) for n >= 3. - Jaroslav Krizek, Dec 13 2009
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LINKS
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Giovanni Resta, Table of n, a(n) for n = 1..50
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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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MATHEMATICA
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Join[{k = 1}, Table[While[Prime[k]/k < n, k++]; k, {n, 2, 18}]] (* Jayanta Basu, Jul 10 2013 *)
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CROSSREFS
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Cf. A038623-A038627.
Essentially the same as A062742.
Cf. A038606 (variant).
Sequence in context: A065138 A279821 A008841 * A302362 A262239 A074299
Adjacent sequences: A038621 A038622 A038623 * A038625 A038626 A038627
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KEYWORD
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nonn
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AUTHOR
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Jud McCranie
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EXTENSIONS
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a(24)-a(28) from Robert G. Wilson v, Sep 26 2005
Edited by N. J. A. Sloane, Jun 30 2008 at the suggestion of R. J. Mathar.
a(29)-a(50) obtained from the values of A038625 computed by Jan Büthe. - Giovanni Resta, Sep 01 2018
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STATUS
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approved
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