

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
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OFFSET

1,1


LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000
Will Nicholes, Prime Signatures


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

Cf. A190472, A190473, A190474.
Sequence in context: A247855 A113286 A027687 * A218029 A323991 A109485
Adjacent sequences: A190472 A190473 A190474 * A190476 A190477 A190478


KEYWORD

nonn


AUTHOR

Vladimir Joseph Stephan Orlovsky, May 10 2011


STATUS

approved



