A068938 Numbers having the sum of distinct prime factors greater than the sum of exponents in prime factorization, A008472(n)>A001222(n).
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
Offset: 1
Keywords
Examples
12 is included because 12 = 2^2 * 3^1 and 2+3 > 2+1.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
sdfQ[n_]:=Module[{fi=Transpose[FactorInteger[n]]},Total[fi[[1]]] > Total[ fi[[2]]]]; Select[Range[80],sdfQ] (* Harvey P. Dale, Jul 23 2013 *)
Extensions
More terms from David Wasserman, Jun 17 2002