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A046311 Numbers that are divisible by at least 9 primes (counted with multiplicity). 4

%I #18 Apr 07 2017 03:17:29

%S 512,768,1024,1152,1280,1536,1728,1792,1920,2048,2304,2560,2592,2688,

%T 2816,2880,3072,3200,3328,3456,3584,3840,3888,4032,4096,4224,4320,

%U 4352,4480,4608,4800,4864,4992,5120,5184,5376,5632,5760,5832,5888,6048,6144

%N Numbers that are divisible by at least 9 primes (counted with multiplicity).

%H John Cerkan, <a href="/A046311/b046311.txt">Table of n, a(n) for n = 1..10000</a>

%F Product p_i^e_i with Sum e_i >= 9.

%F a(n) = n + O(n (log log n)^7/log n). - _Charles R Greathouse IV_, Apr 07 2017

%t Select[Range[6200],PrimeOmega[#]>8&] (* _Harvey P. Dale_, May 20 2013 *)

%o (PARI) is(n)=bigomega(n)>8 \\ _Charles R Greathouse IV_, Sep 17 2015

%Y Subsequence of A033987, A046304, A046305, A046307, and A046309.

%Y Cf. A046312.

%K nonn

%O 1,1

%A _Patrick De Geest_, Jun 15 1998

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)