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Search: id:A102281
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A102281 a(n) is the largest number m such that m = pi(n*m). +0
6
4, 11, 30, 72, 189, 442, 1059, 2700, 6472, 15927, 40121, 100363, 251761, 637340, 1617174, 4124705, 10553853, 27067277, 69709965, 179993173, 465769838, 1208198861, 3140421716, 8179002208, 21338685406, 55762149115, 145935689393 (list; graph; listen)
OFFSET

2,1

COMMENT

All known terms of this sequence satisfy the relation 2.4*a(n) - 12 < a(n+1) < 2.7*a(n) + 1 is true.

a(n) is the largest number m such that floor(prime(m)/m)=n-1. - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Sep 13 2005

EXAMPLE

3140421934 = pi(24*3140421934) and 3140421934 is the largest number with this property, so a(24) = 3140421934.

CROSSREFS

Cf. A038626, A102282, A102283.

Sequence in context: A110579 A084378 A099065 this_sequence A026583 A110034 A114726

Adjacent sequences: A102278 A102279 A102280 this_sequence A102282 A102283 A102284

KEYWORD

nonn

AUTHOR

Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Jan 09 2005; extended Sep 13 2005

EXTENSIONS

More terms from Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Sep 13 2005

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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