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A190475
Numbers with prime factorization pqr^3s^5.
1
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
1,1
LINKS
MATHEMATICA
f[n_]:=Sort[Last/@FactorInteger[n]]=={1, 1, 3, 5}; Select[Range[400000], f]
PROG
(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
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved