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%I #9 Aug 25 2016 23:09:12
%S 240240,314160,351120,371280,414960,425040,502320,535920,542640,
%T 572880,583440,633360,652080,656880,677040,683760,734160,757680,
%U 789360,794640,808080,810810,816816,828240,852720,868560,885360,895440,912912,925680
%N Numbers with prime factorization pqrstu^4.
%H T. D. Noe, <a href="/A190388/b190388.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]]=={1,1,1,1,1,4};Select[Range[1200000],f]
%o (PARI) list(lim)=my(v=List(),t1,t2,t3,t4,t5); forprime(p=2,sqrtnint(lim\2310, 4), t1=p^4; forprime(q=2,lim\(210*t1), if(q==p, next); t2=q*t1; forprime(r=2,lim\(30*t2), if(r==p || r==q, next); t3=r*t2; forprime(s=2,lim\(6*t3), if(s==p || s==q || s==r, next); t4=s*t3; forprime(t=2,lim\(2*t4), if(t==p || t==q || t==r || t==s, next); t5=t*t4; forprime(u=2,lim\t5, if(u==p || u==q || u==r || u==s || u==t, next); listput(v, t5*u))))))); Set(v) \\ _Charles R Greathouse IV_, Aug 25 2016
%Y Cf. A190386, A190387.
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, May 09 2011
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