A046313 Numbers that are divisible by at least 10 primes (counted with multiplicity).

1024, 1536, 2048, 2304, 2560, 3072, 3456, 3584, 3840, 4096, 4608, 5120, 5184, 5376, 5632, 5760, 6144, 6400, 6656, 6912, 7168, 7680, 7776, 8064, 8192, 8448, 8640, 8704, 8960, 9216, 9600, 9728, 9984, 10240, 10368, 10752, 11264, 11520, 11664, 11776

Offset

1,1

Links

John Cerkan, Table of n, a(n) for n = 1..10000

Formula

Product p_i^e_i with Sum e_i >= 10.

a(n) = n + O(n (log log n)^8/log n). - Charles R Greathouse IV, Apr 07 2017

Mathematica

Select[Range[12000], PrimeOmega[#]>9&] (* Harvey P. Dale, Dec 17 2018 *)

Prog

(PARI) is(n)=bigomega(n)>9 \\ Charles R Greathouse IV, Sep 17 2015

Crossrefs

Subsequence of A033987, A046304, A046305, A046307, A046309, and A046311.

Cf. A046314.

Sequence in context: A057421 A074211 A057443 * A046314 A221260 A223065

Adjacent sequences: A046310 A046311 A046312 * A046314 A046315 A046316

Keyword

nonn

Author

Patrick De Geest, Jun 15 1998

Status

approved