A190320 Numbers with prime factorization pq^2r^3s^3.
37800, 52920, 59400, 63000, 70200, 91800, 94500, 99000, 102600, 116424, 117000, 123480, 124200, 130680, 137592, 147000, 148500, 153000, 156600, 167400, 171000, 175500, 179928, 182520, 182952, 185220, 199800, 201096, 205800, 207000, 221400
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]]=={1,2,3,3};Select[Range[350000],f]
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PARI
list(lim)=my(v=List(),t1,t2,t3); forprime(p=2,sqrtnint(lim\360, 3), t1=p^3; forprime(q=2,sqrtnint(lim\(12*t1), 3), if(q==p, next); t2=q^3*t1; forprime(r=2,sqrtint(lim\(2*t2)), if(r==p || r==q, next); t3=r^2*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