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A162144 Products of cubes of 3 distinct primes. 3

%I

%S 27000,74088,287496,343000,474552,1061208,1157625,1331000,1481544,

%T 2197000,2628072,3652264,4492125,4913000,5268024,6028568,6434856,

%U 6859000,7414875,10941048,12167000,12326391,13481272,14886936,16581375,17173512,18821096

%N Products of cubes of 3 distinct primes.

%C Numbers of the form p^3*q^3*r^3 where p, q, r are three distinct primes.

%C The cubic analog of A085986 (squares of 2 distinct primes).

%H T. D. Noe, <a href="/A162144/b162144.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = (A007304(n))^3.

%F A000005(a(n)) = 64.

%e 27000=2^3*3^3*5^3. 74088=2^3*3^3*7^3. 287496=2^3*3^3*11^3.

%t fQ[n_]:=Last/@FactorInteger[n]=={1,1,1}; Select[Range[1000], fQ]^3

%Y Cf. A006881, A162142, A162143.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jun 25 2009

%E Edited by _R. J. Mathar_, Aug 14 2009

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Last modified June 20 09:27 EDT 2019. Contains 324234 sequences. (Running on oeis4.)