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A111697 5-almost primes with semiprime digits (digits 4, 6, 9 only).

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%I A111697 #12 Dec 16 2024 19:15:14
%S A111697 464,496,696,944,4446,4496,4664,6444,6669,6996,9666,9944,44649,44664,
%T A111697 44694,44696,44946,44964,46664,46696,49446,49496,49944,64664,66664,
%U A111697 66996,69464,69944,69996,94996,96464,96664,96996,99664,99946,99996
%N A111697 5-almost primes with semiprime digits (digits 4, 6, 9 only).
%H A111697 Charles R Greathouse IV, <a href="/A111697/b111697.txt">Table of n, a(n) for n = 1..10000</a>
%e A111697 a(1) = 464 = 2^4 x 29, a(2) = 496 = 2^4 * 31, a(3) = 696 = 2^3 * 3 * 29, a(4) = 944 = 2^4 * 59, a(5) = 4446 = 2 * 3^2 * 13 * 19, a(6) = 4496 = 2^4 * 281, a(7) = 4664 = 2^3 * 11 * 53, a(8) = 6444 = 2^2 * 3^2 * 179, a(9) = 6669 = 3^3 * 13 * 19, a(10) = 6996 = 2^2 * 3 * 11 * 53.
%t A111697 Table[Select[FromDigits/@Tuples[{4,6,9},n],PrimeOmega[#]==5&],{n,3,5}]//Flatten (* _Harvey P. Dale_, Dec 16 2024 *)
%o A111697 (PARI) do(N)=my(v=List(), a=[4, 6, 9]); for(d=1, N, forvec(u=vector(d, i, [1, 3]), t=fromdigits(apply(n->a[n], u)); if(bigomega(t)==5, listput(v, t)))); Set(v) \\ _Charles R Greathouse IV_, Feb 01 2017
%Y A111697 Cf. A001358, A014614, A107665, A107666, A107342, A111494, A111496.
%K A111697 base,easy,nonn
%O A111697 1,1
%A A111697 _Jonathan Vos Post_, Nov 17 2005
%E A111697 Corrected by _Ray Chandler_, Nov 19 2005