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Search: id:A162144
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| A162144 |
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Products of cubes of 3 distinct primes. |
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+0
1
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| 27000, 74088, 287496, 343000, 474552, 1061208, 1157625, 1331000, 1481544, 2197000, 2628072, 3652264, 4492125, 4913000, 5268024, 6028568, 6434856, 6859000, 7414875, 10941048, 12167000, 12326391, 13481272, 14886936, 16581375, 17173512, 18821096
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OFFSET
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1,1
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COMMENT
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Numbers of the form p^3*q^3*r^3 where p, q, r are three distinct primes.
The cubic analog of A085986 (squares of 2 distinct primes).
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FORMULA
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a(n) = (A007304(n))^3.
A000005(a(n)) = 64.
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EXAMPLE
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27000=2^3*3^3*5^3. 74088=2^3*3^3*7^3. 287496=2^3*3^3*11^3.
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MATHEMATICA
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fQ[n_]:=Last/@FactorInteger[n]=={3, 3, 3}; lst={}; Do[If[fQ[n], AppendTo[lst, n]], {n, 2*10!}]; lst
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CROSSREFS
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Cf. A006881, A162142, A162143.
Adjacent sequences: A162141 A162142 A162143 this_sequence A162145 A162146 A162147
Sequence in context: A093181 A051025 A048921 this_sequence A159995 A037045 A127411
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 14 2009
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