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%I #14 Feb 18 2024 08:28:39
%S 480,672,1056,1120,1248,1632,1760,1824,2080,2208,2430,2464,2720,2784,
%T 2912,2976,3040,3402,3552,3680,3808,3936,4128,4256,4512,4576,4640,
%U 4960,5088,5152,5346,5664,5856,5920,5984,6318,6432,6496,6560,6688,6816,6880
%N Products of the 5th power of a prime and 2 distinct primes (p^5*q*r).
%H T. D. Noe, <a href="/A179667/b179667.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>
%H <a href="/index/Pri#prime_signature">Index to sequences related to prime signature</a>
%t f[n_]:=Sort[Last/@FactorInteger[n]]=={1,1,5}; Select[Range[10000], f]
%o (PARI) list(lim)=my(v=List(),t);forprime(p=2,(lim\6)^(1/5),forprime(q=2,sqrt(lim\p^5),if(p==q,next);t=p^5*q;forprime(r=q+1,lim\t,if(p==r,next);listput(v,t*r))));vecsort(Vec(v)) \\ _Charles R Greathouse IV_, Jul 20 2011
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Jul 23 2010
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