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A134618
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Numbers such that the sum of cubes of their prime factors (taken with multiplicity) is a prime.
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9
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12, 28, 40, 45, 48, 52, 54, 56, 63, 75, 80, 96, 104, 108, 117, 136, 152, 153, 165, 175, 210, 224, 232, 245, 250, 261, 268, 300, 320, 325, 333, 344, 350, 363, 384, 387, 390, 399, 405, 416, 432, 462, 464, 468, 475, 477, 504, 507, 531, 536, 539, 561, 570, 584
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Harvey P. Dale and Hieronymus Fischer, Table of n, a(n) for n = 1..10000 (first 1000 terms from Harvey P. Dale)
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EXAMPLE
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a(2)=28, since 28=2*2*7 and 2^3+2^3+7^3=359 which is prime.
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MATHEMATICA
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Select[Range[600], PrimeQ[Total[Flatten[Table[#[[1]], {#[[2]]}]&/@ FactorInteger[#]]^3]]&] (* Harvey P. Dale, Feb 01 2013 *)
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CROSSREFS
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Cf. A001597, A025475, A134333, A134344, A134376.
Cf. A134600, A134602, A134605, A134608, A134612, A134616, A134620.
Sequence in context: A087252 A141274 A224613 * A108405 A184838 A044073
Adjacent sequences: A134615 A134616 A134617 * A134619 A134620 A134621
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KEYWORD
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nonn
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AUTHOR
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Hieronymus Fischer, Nov 11 2007
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EXTENSIONS
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Example clarified by Harvey P. Dale, Feb 01 2013
Minor edits by Hieronymus Fischer, May 06 2013
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STATUS
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approved
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