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A200511 Numbers n with omega(n)=2 and bigomega(n)>2, where omega=A001221=number of distinct prime factors, bigomega=A001222=prime factors counted with multiplicity. 5

%I #18 Apr 23 2017 01:02:23

%S 12,18,20,24,28,36,40,44,45,48,50,52,54,56,63,68,72,75,76,80,88,92,96,

%T 98,99,100,104,108,112,116,117,124,135,136,144,147,148,152,153,160,

%U 162,164,171,172,175,176,184,188,189,192,196,200,207,208,212,216,224,225,232,236

%N Numbers n with omega(n)=2 and bigomega(n)>2, where omega=A001221=number of distinct prime factors, bigomega=A001222=prime factors counted with multiplicity.

%C Equivalently, numbers of the form n=p^k*q^m where k,m>0, k+m>2 and p,q prime.

%C It appears that this is equal to A123711.

%H G. C. Greubel, <a href="/A200511/b200511.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[240], PrimeNu[#] == 2 && PrimeOmega[#] > 2 &] (* _Jean-François Alcover_, Jun 29 2013 *)

%o (PARI) for(n=1,999,bigomega(n)>2 & omega(n)==2 & print1(n","))

%Y Cf. A200521, A178212.

%K nonn

%O 1,1

%A _M. F. Hasler_, Feb 09 2012

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)