%I #22 Nov 01 2014 18:27:24
%S 16384,24576,36864,40960,55296,57344,61440,82944,86016,90112,92160,
%T 102400,106496,124416,129024,135168,138240,139264,143360,153600,
%U 155648,159744,186624,188416,193536,200704,202752,207360,208896,215040,225280
%N 14-almost primes (generalization of semiprimes).
%C Product of 14 not necessarily distinct primes.
%C Divisible by exactly 14 prime powers (not including 1).
%C Any 14-almost prime can be represented in several ways as a product of two 7-almost primes A046308; and in several ways as a product of seven semiprimes A001358. - _Jonathan Vos Post_, Dec 11 2004
%H D. W. Wilson, <a href="/A069275/b069275.txt">Table of n, a(n) for n = 1..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AlmostPrime.html">Almost Prime.</a>
%F Product p_i^e_i with Sum e_i = 14.
%t Select[Range[50000], Plus @@ Last /@ FactorInteger[ # ] == 14 &] (* _Vladimir Joseph Stephan Orlovsky_, Apr 23 2008 *)
%o (PARI) k=14; start=2^k; finish=240000; v=[] for(n=start,finish, if(bigomega(n)==k,v=concat(v,n))); v
%Y Cf. A101637, A101638, A101605, A101606.
%Y Sequences listing r-almost primes, that is, the n such that A001222(n) = r: A000040 (r = 1), A001358 (r = 2), A014612 (r = 3), A014613 (r = 4), A014614 (r = 5), A046306 (r = 6), A046308 (r = 7), A046310 (r = 8), A046312 (r = 9), A046314 (r = 10), A069272 (r = 11), A069273 (r = 12), A069274 (r = 13), this sequence(r = 14), A069276 (r = 15), A069277 (r = 16), A069278 (r = 17), A069279 (r = 18), A069280 (r = 19), A069281 (r = 20). - _Jason Kimberley_, Oct 02 2011
%K nonn
%O 1,1
%A _Rick L. Shepherd_, Mar 13 2002