A129539 Composite numbers to composite powers.

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

Offset: 0

Author

Tanya Khovanova, May 29 2007

Keywords

• nonn

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

Examples

			The sequence starts with 256, because 256 is the smallest composite number to the smallest composite power.
		

Crossrefs

Cf. A113877 - Semiprimes to semiprime powers - is a subsequence of this sequence.

Programs

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 &]