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A062385
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Numbers k such that sigma(k) - phi(k) is a cube.
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2
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1, 30, 44, 87, 169, 247, 515, 630, 707, 910, 1067, 1255, 1356, 1691, 2128, 2188, 2291, 2438, 2574, 2627, 2747, 2867, 3668, 3689, 4063, 4295, 5206, 5359, 5999, 6331, 6583, 6835, 7719, 8286, 8968, 8991, 9383
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OFFSET
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1,2
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LINKS
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EXAMPLE
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sigma(30) - phi(30) = 72 - 8 = 64 = 4^3, so 30 is a term of the sequence.
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MATHEMATICA
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Select[Range[10^4], IntegerQ[(DivisorSigma[1, # ] - EulerPhi[ # ])^(1/3)] &]
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PROG
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(PARI) select(k->ispower(sigma(k)-eulerphi(k), 3), [1..10000]) \\ Harry J. Smith, Aug 06 2009
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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