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Search: id:A090977
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| A090977 |
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Least k such that k*prime(k) > 10^n. |
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+0
1
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| 3, 7, 17, 48, 134, 382, 1115, 3287, 9786, 29296, 88181, 266694, 809599, 2465574, 7528976, 23045352, 70684657, 217196605, 668461874
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Does lim(n->infinity) a(n+1)/a(n) exist? If so, is the limit pi? - Ryan Propper (rpropper(AT)stanford.edu), Sep 15 2005
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EXAMPLE
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a(3) = 17 as 17*prime(17) = 17*59 = 1003 > 10^3.
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MAPLE
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for n from 1 to 11 do b:=proc(k) if k*ithprime(k)>10^n then k else fi end: a[n]:=[seq(b(k), k=1..100000)][1]: od: seq(a[n], n=1..11); (Deutsch)
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MATHEMATICA
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n = 1; For[k = 1, k > 0, k++, If[k*Prime[k] > 10^n, Print[k]; n++ ]] (Propper) (Propper)
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CROSSREFS
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Sequence in context: A062810 A113985 A071985 this_sequence A014144 A096358 A079634
Adjacent sequences: A090974 A090975 A090976 this_sequence A090978 A090979 A090980
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 04 2004
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 04 2005
More terms from Ryan Propper (rpropper(AT)stanford.edu), Sep 15 2005
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