A190475 Numbers with prime factorization pqr^3s^5.
30240, 47520, 56160, 66528, 68040, 73440, 78624, 82080, 84000, 99360, 102816, 106920, 114912, 123552, 125280, 126360, 132000, 133920, 139104, 149688, 156000, 159840, 161568, 164640, 165240, 175392, 176904, 177120, 180576, 184680, 185760
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]]=={1,1,3,5}; Select[Range[400000],f]
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PARI
list(lim)=my(v=List(),t1,t2,t3); forprime(p=2,sqrtnint(lim\120, 5), t1=p^5; forprime(q=2,sqrtnint(lim\(6*t1), 3), if(q==p, next); t2=q^3*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