A067715 Numbers k such that the sum of exponents in the prime factorization of k is < log(k).

3, 5, 7, 9, 10, 11, 13, 14, 15, 17, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88

Offset

1,1

Links

Table of n, a(n) for n=1..70.

Example

9 is included because the sum of the exponents in the prime factorization of 9 is 2, which is < log(9).

Mathematica

Select[Range[100], Total[Transpose[FactorInteger[#]][[2]]]<Log[#]&] (* Harvey P. Dale, Feb 01 2015 *)

Crossrefs

Cf. A067712.

Sequence in context: A326980 A281005 A080259 * A344291 A231564 A325798

Adjacent sequences: A067712 A067713 A067714 * A067716 A067717 A067718

Keyword

nonn

Author

Leroy Quet, Feb 05 2002

Extensions

Definition extended and offset changed to 1 by Georg Fischer, Feb 01 2024

Status

approved