%I #21 Feb 18 2024 08:28:46
%S 768,1280,1792,2816,3328,4352,4864,5888,7424,7936,9472,10496,11008,
%T 12032,13122,13568,15104,15616,17152,18176,18688,20224,21248,22784,
%U 24832,25856,26368,27392,27904,28928,32512,32805,33536,35072,35584,38144,38656,40192
%N Products of the 8th power of a prime and a distinct prime (p^8*q).
%H T. D. Noe, <a href="/A179668/b179668.txt">Table of n, a(n) for n = 1..1000</a>
%H Will Nicholes, <a href="http://willnicholes.com/math/primesiglist.htm">Prime Signatures</a>
%t f[n_]:=Sort[Last/@FactorInteger[n]]=={1,8}; Select[Range[40000], f]
%t With[{nn=40},Take[Union[#[[1]]^8 #[[2]]&/@Flatten[Permutations/@Subsets[ Prime[Range[nn]],{2}],1]],nn]] (* _Harvey P. Dale_, Jan 20 2016 *)
%o (PARI) list(lim)=my(v=List(),t);forprime(p=2,(lim\2)^(1/8),t=p^8;forprime(q=2,lim\t,if(p==q,next);listput(v,t*q)));vecsort(Vec(v)) \\ _Charles R Greathouse IV_, Jul 20 2011
%Y Cf. A006881, A007304, A065036, A085986, A085987, A092759, A178739, A179642, A179643, A179644, A179645, A179646, A179664, A179665, A179666, A179667.
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Jul 23 2010
|