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Search: id:A075393
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| A075393 |
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Positive integers n such that n is not divisible by A002034(n). |
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+0
2
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| 9, 16, 25, 45, 49, 75, 80, 121, 125, 147, 169, 175, 225, 243, 245, 250, 256, 289, 343, 361, 363, 441, 486, 500, 507, 512, 525, 529, 539, 605, 625, 637, 675, 686, 729, 735, 768, 841, 845, 847, 867, 875, 961, 1000, 1024, 1083, 1089, 1183, 1215, 1225, 1250
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If n is squarefree, then A002034(n) is the largest prime factor of n, so n is not in the sequence. If p is an odd prime, then A002034(p^2) = 2*p, so p^2 is in the sequence. - David Wasserman (dwasserm(AT)earthlink.net), Jan 17 2005
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EXAMPLE
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a(1)=9 because 9 is the first number that is not a multiple of its Smarandache number S(9)=6
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MATHEMATICA
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(Smarandache[n_] := (m=1; While[ !IntegerQ[m!/n], m++ ]; m); list = {}; Do[If[ !IntegerQ[n/Smarandache[n]], list = Append[list, n]], {n, 100}]; list) - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Apr 18 2004
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CROSSREFS
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Cf. A002034.
Sequence in context: A026062 A108945 A092941 this_sequence A048752 A023147 A039788
Adjacent sequences: A075390 A075391 A075392 this_sequence A075394 A075395 A075396
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 22 2002
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EXTENSIONS
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More terms from David Wasserman (dwasserm(AT)earthlink.net), Jan 17 2005
Edited by njas, Apr 19 2007
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