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

1,1

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: A059307 A357961 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