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Search: id:A030673
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| A030673 |
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Smallest cube that begins with n-th prime. |
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+0
2
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| 27, 343, 512, 729, 110592, 1331, 1728, 19683, 238328, 29791, 314432, 373248, 4173281, 438976, 474552, 531441, 59319, 614125, 6751269, 7189057, 7301384, 79507, 830584, 8998912, 97336, 101194696, 103823, 10793861, 1092727, 11390625
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Robert G. Wilson v, Table of n, a(n) for n = 1..1000.
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FORMULA
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a(n) = A018797(A000040(n)).
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EXAMPLE
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a(1) = 27 because 27 = 3^3 is the smallest cube beginning (base 10) with prime(1) = 2.
a(2) = 343 because 343 = 7^3 is the smallest cube beginning (base 10) with prime(2) = 3.
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MATHEMATICA
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f[n_] := Block[{k, l = Ceiling@ Log[10, Prime@ n], p = IntegerDigits@ Prime@ n}, k = Ceiling[ Prime[n]^(1/3)]; While[ Take[ IntegerDigits[k^3], l] != p, k++ ]; k^3]; Array[f, 31] (* Robert G. Wilson v, (rgwv(AT)rgwv.com), May 31 2008 *)
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CROSSREFS
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Cf. A000040, A000578, A018797, A030674.
Sequence in context: A076394 A133211 A029947 this_sequence A030683 A038840 A032599
Adjacent sequences: A030670 A030671 A030672 this_sequence A030674 A030675 A030676
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KEYWORD
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base,easy,nonn
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com)
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 29 2008 at the suggestion of R. J. Mathar
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