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A068317 Numbers n such that n*tau(n) > omega(n)*prime(n) where tau(n) is the number of divisors of n and omega(n) the number of distinct prime factors of n. +0
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1, 2, 3, 4, 8, 9, 16, 24, 27, 32, 36, 48, 64, 72, 96, 108, 128, 144, 160, 180, 192, 216, 240, 256, 288, 320, 324, 360, 384, 400, 432, 480, 504, 512, 540, 576, 600, 640, 648, 672, 720, 756, 768, 792, 800, 840, 864, 896, 900, 936, 960, 972, 1000, 1008, 1024 (list; graph; listen)
OFFSET

1,2

COMMENT

There are very few odd terms in the sequence ( 1,3,9,27,30375,33075,....) (PARI) for(n=1,1000, if(numdiv(n)*n>omega(n)*prime(n),print1(n,",")))

CROSSREFS

Sequence in context: A078829 A045583 A045608 this_sequence A074311 A076382 A006899

Adjacent sequences: A068314 A068315 A068316 this_sequence A068318 A068319 A068320

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 26 2002

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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