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Search: id:A062742
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| A062742 |
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Index j of prime p(j) such that Floor[p(j)/j]=n is first satisfied. |
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+0
5
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| 2, 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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1,1
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FORMULA
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a(n) = Min{j| Floor[p(j)/j] = n}. Note that neither p(j)/j nor Floor[p(j)/j] is monotonic.
a(n)=pi(A062743(n))
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EXAMPLE
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The q(j)=p(j)/j quotient when value 14 first appears: {j=251706, p(j)=3523841, q(j)=13.9998291} {251707, 3523901, 14.0000119} {251708, 3523903, 13.9999642} {251709, 3523921, 13.9999801} {251710, 3523957, 14.0000675} {251711, 3523963, 14.0000357}
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PROGRAM
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(PARI) {a062742(m)=local(n, j); for(n=1, m, j=1; while(floor(prime(j)/j)!=n, j++); print1(j, ", "))} a062742(10^7)
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CROSSREFS
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Essentially the same as A038624.
Sequence in context: A013161 A012926 A013157 this_sequence A009821 A009831 A012931
Adjacent sequences: A062739 A062740 A062741 this_sequence A062743 A062744 A062745
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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 12 2001
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), May 15 2002
a(17) - a(28) from Farideh Firoozbakht and Robert G. Wilson v (rgwv(at)rgwv.com), Sep 13 2005
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