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Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.
1

%I #12 Jan 09 2013 15:07:57

%S 8,20,964,1825,2074,2637,3614,3786,4503,5283,5495,6414,6652,7138,7383,

%T 9485,9764,10330,10615,11191,12427,12749,13074,15475,16195,16930,

%U 18446,19233,20855,22108,22959,23387,28273,28747,29222,30676,32695,34798,35871

%N Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.

%C Bigomega=3 analog of the semiprime version A092190. In sequence A086062 it was asked whether there are infinitely many such numbers.

%F A217018 = A086062 intersect A014612.

%o (PARI) A217018(n,list=0,N=0,S=0)={until(!n--,until(bigomega(S+=N)==3,until(bigomega(N++)==3,));list&print1(S","));S} \\ - _M. F. Hasler_, Sep 29 2012

%K nonn

%O 1,1

%A _M. F. Hasler_, Sep 23 2012