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A129539
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Composite numbers to composite powers.
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0
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256, 1296, 4096, 6561, 10000, 20736, 38416, 46656, 50625, 65536, 104976, 160000, 194481, 234256, 262144, 331776, 390625, 456976, 531441, 614656, 810000, 1000000, 1048576, 1185921, 1336336, 1500625, 1679616, 2085136, 2313441
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Only unique powers are shown here. E.g., 4096 = 4^6 = 8^4, but 4096 is only in the sequence once. - Franklin T. Adams-Watters, Sep 28 2011
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EXAMPLE
| The sequence starts with 256, because 256 is the smallest composite number to the smallest composite power.
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MATHEMATICA
| comp = Select[Range[2, 40], ! PrimeQ[ # ] &]; Select[ Union[Flatten[ Table[comp[[n]]^comp[[k]], {n, Length[comp]}, {k, Length[comp]}]]], # < comp[[Length[comp]]]^4 &]
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CROSSREFS
| Cf. A113877 - Semiprimes to semiprime powers - is a subsequence of this sequence.
Sequence in context: A206118 A206111 A120054 * A113877 A205097 A205090
Adjacent sequences: A129536 A129537 A129538 * A129540 A129541 A129542
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KEYWORD
| nonn
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AUTHOR
| Tanya Khovanova (tanyakh(AT)yahoo.com), May 29 2007
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