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A030673
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Smallest cube that begins with n-th prime.
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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
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OFFSET
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1,1
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LINKS
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FORMULA
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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, May 31 2008 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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