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A068938 Numbers having the sum of distinct prime factors greater than the sum of exponents in prime factorization, A008472(n)>A001222(n). 5
2, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

12 is included because 12 = 2^2 * 3^1 and 2+3 > 2+1.

MATHEMATICA

sdfQ[n_]:=Module[{fi=Transpose[FactorInteger[n]]}, Total[fi[[1]]] > Total[ fi[[2]]]]; Select[Range[80], sdfQ] (* Harvey P. Dale, Jul 23 2013 *)

CROSSREFS

Cf. A068935, A068936, A054411, A068937.

Sequence in context: A074492 A059307 A159635 * A166937 A039250 A135130

Adjacent sequences:  A068935 A068936 A068937 * A068939 A068940 A068941

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Mar 08 2002

EXTENSIONS

More terms from David Wasserman, Jun 17 2002

STATUS

approved

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Last modified May 18 15:59 EDT 2022. Contains 353816 sequences. (Running on oeis4.)