%I #18 May 05 2023 12:19:35
%S 32,96,160,224,243,288,352,416,480,486,544,608,672,736,800,864,928,
%T 972,992,1056,1120,1184,1215,1248,1312,1376,1440,1504,1568,1632,1696,
%U 1701,1760,1824,1888,1944,1952,2016,2080,2144,2208,2272,2336,2400,2430,2464,2528,2592,2656,2673,2720,2784,2848,2912,2976
%N Numbers with at least one 5 in their prime signature.
%C Contains all odd multiples of 2^5: Each second term of A174312 is in this sequence.
%C The asymptotic density of this sequence is 1 - Product_{p prime} (1 - 1/p^5 + 1/p^6) = 0.01863624892... . - _Amiram Eldar_, May 05 2023
%H Amiram Eldar, <a href="/A362841/b362841.txt">Table of n, a(n) for n = 1..10000</a>
%e Contains 2^5, 2^5*3, 2^5*5, 2^5*7, 3^5, 2^5*3^2, 2^5*11, 2^5*13, 2^5*3*5, 2*3^5, etc.
%t Select[Range[3000], MemberQ[FactorInteger[#][[;;, 2]], 5] &] (* _Amiram Eldar_, May 05 2023 *)
%Y Cf. A038109 (at least one 2), A176297 (at least one 3), A050997 (subsequence), A178740 (subsequence), A179646 (subsequence), A179667 (subsequence), A179671 (subsequence), A174312.
%K nonn
%O 1,1
%A _R. J. Mathar_, May 05 2023