A190292 Numbers with prime factorization pqrs^6.
6720, 10560, 12480, 14784, 16320, 17472, 18240, 22080, 22848, 24640, 25536, 27456, 27840, 29120, 29760, 30912, 35520, 35904, 38080, 38976, 39360, 40128, 41280, 41664, 42432, 42560, 45120, 45760, 47424, 48576, 49728, 50880, 51030, 51520
Offset: 1
Keywords
Links
- T. D. Noe, Table of n, a(n) for n = 1..1000
- Will Nicholes,Prime Signatures
Programs
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Mathematica
f[n_]:=Sort[Last/@FactorInteger[n]]=={1,1,1,6};Select[Range[100000],f]
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PARI
list(lim)=my(v=List(),t1,t2,t3); forprime(p=2,sqrtnint(lim\30, 6), t1=p^6; forprime(q=2,lim\(6*t1), if(q==p, next); t2=q*t1; forprime(r=2,lim\(2*t2), if(r==p || r==q, next); t3=r*t2; forprime(s=2,lim\t3, if(s==p || s==q || s==r, next); listput(v, t3*s))))); Set(v) \\ Charles R Greathouse IV, Aug 25 2016