A195092 Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 8.

512, 1536, 2304, 2560, 3456, 3584, 5184, 5632, 6400, 6656, 7680, 7776, 8704, 9728, 10752, 11520, 11664, 11776, 12544, 14848, 15872, 16000, 16128, 16896, 17280, 17496, 17920, 18944, 19200, 19683, 19968, 20992, 22016, 24064, 24192

Offset

1,1

Comments

The asymptotic density of this sequence is (6/Pi^2) * Sum_{k>=1} f(a(k)) = 0.0014793..., where f(k) = A112526(k) * Product_{p|k} p/(p+1). - Amiram Eldar, Sep 24 2024

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Index entries for sequences computed from exponents in factorization of n.

Formula

A046660(a(n)) = 8. - Reinhard Zumkeller, Nov 29 2015

Mathematica

Select[Range[25000], PrimeOmega[#]-PrimeNu[#]==8&]

Prog

(PARI) is(n)=bigomega(n)-omega(n)==8 \\ Charles R Greathouse IV, Sep 14 2015
(Haskell)
a195092 n = a195092_list !! (n-1)
a195092_list = filter ((== 8) . a046660) [1..]
-- Reinhard Zumkeller, Nov 29 2015

Crossrefs

Cf. A060687, A195069, A195086, A195087, A195088, A195089, A195090, A195091, A195093.

Cf. A025487, A046660, A059956, A112526, A257851, A261256, A264959.

Sequence in context: A224644 A258726 A220583 * A235192 A203451 A251192

Adjacent sequences: A195089 A195090 A195091 * A195093 A195094 A195095

Keyword

nonn,easy

Author

Harvey P. Dale, Sep 08 2011

Status

approved