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%I #8 Jan 17 2015 17:45:06
%S 3,3,3,5,3,3,5,5,3,5,3,7,5,5,3,7,3,5,5,3,5,7,7,3,5,3,7,7,3,5,11,5,5,3,
%T 7,5,3,7,3,5,11,7,7,3,7,5,11,3,11,5,7,5,3,13,7,5,5,3,7,13,3,11,7,5,3,
%U 5,11,7,3,5,7,13,7,3,7,5,5,3,11,11,3,5,17,7,3,7,13,7,5,3,11,5,5,11,5
%N Intermediate prime factor of n-th product of 3 distinct primes.
%C A096917(n)*a(n)*A096919(n) = A007304(n); A096917(n) < a(n) < A096919(n).
%t f[n_]:=Last/@FactorInteger[n]=={1,1,1};f1[n_]:=Min[First/@FactorInteger[n]];f2[n_]:=Max[First/@FactorInteger[n]];f3[n_]:=First/@FactorInteger[n][[2,1]];lst={};Do[If[f[n],AppendTo[lst,f3[n]]],{n,0,7!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Apr 10 2010 *)
%K nonn
%O 1,1
%A _Reinhard Zumkeller_, Jul 15 2004
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