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Search: id:A102749
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| A102749 |
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Numbers n such that largest prime-power dividing n is not a power of the largest prime dividing n. |
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+0
2
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| 12, 24, 40, 45, 48, 56, 63, 80, 90, 96, 112, 120, 126, 135, 144, 160, 168, 175, 176, 180, 189, 192, 208, 224, 240, 252, 270, 275, 280, 288, 297, 315, 320, 325, 336, 350, 351, 352, 360, 378, 384, 405, 416, 425, 448, 459, 475, 480, 504, 513, 525, 528, 539, 540
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Does this sequence have finite density? - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 29 2006
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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45 is included because 45 = 3^2 *5 and 9 (the largest prime-power dividing 45) is not a power of 5 (the largest prime dividing 45).
144 is included because its largest prime divisor is 3, but the largest prime power divisor, 16, is not a power of 3.
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MATHEMATICA
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fQ[n_] := Block[{p = Power @@@ FactorInteger[n]}, Last[p] != Max[p]]; Select[Range[540], fQ] (*Chandler*)
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CROSSREFS
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Cf. A006530, A034699, A126855.
Sequence in context: A139406 A140831 A126855 this_sequence A085231 A057715 A053990
Adjacent sequences: A102746 A102747 A102748 this_sequence A102750 A102751 A102752
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Feb 09 2005
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EXTENSIONS
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More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 29 2006
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