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A033987 Numbers that are divisible by at least 4 primes (counted with multiplicity). 16

%I #29 Oct 26 2023 18:38:21

%S 16,24,32,36,40,48,54,56,60,64,72,80,81,84,88,90,96,100,104,108,112,

%T 120,126,128,132,135,136,140,144,150,152,156,160,162,168,176,180,184,

%U 189,192,196,198,200,204,208,210,216,220,224,225,228,232,234,240,243

%N Numbers that are divisible by at least 4 primes (counted with multiplicity).

%C Complement of A037144: A001222(a(n)) > 3; A117358(a(n)) > 1. - _Reinhard Zumkeller_, Mar 10 2006

%C Also numbers such that no permutation of all proper divisors exists with coprime adjacent elements: A178254(a(n)) = 0. - _Reinhard Zumkeller_, May 24 2010

%C Also, numbers that can be written as a product of at least two composites, i.e., admit a nontrivial factorization into composites. - _Felix Fröhlich_, Dec 22 2018

%H T. D. Noe, <a href="/A033987/b033987.txt">Table of n, a(n) for n=1..1000</a>

%F Product p_i^e_i with Sum e_i >= 4.

%F A001055(a(n)) > A033273(a(n)). - _Juri-Stepan Gerasimov_, Nov 09 2009

%p with(numtheory): A033987:=n->`if`(bigomega(n)>3, n, NULL): seq(A033987(n), n=1..300); # _Wesley Ivan Hurt_, May 26 2015

%t Select[Range[300],PrimeOmega[#]>3&] (* _Harvey P. Dale_, Mar 20 2016 *)

%o (PARI) is(n)=bigomega(n)>3 \\ _Charles R Greathouse IV_, May 26 2015

%Y Subsequence of A033942; A178212 is a subsequence.

%Y Cf. A014613, A001055, A033273.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Patrick De Geest_, Jun 15 1998

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Last modified April 24 12:57 EDT 2024. Contains 371943 sequences. (Running on oeis4.)