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A076468 Perfect powers m^k where m is an integer and k > 3. +0
4
1, 16, 32, 64, 81, 128, 243, 256, 512, 625, 729, 1024, 1296, 2048, 2187, 2401, 3125, 4096, 6561, 7776, 8192, 10000, 14641, 15625, 16384, 16807, 19683, 20736, 28561, 32768, 38416, 46656, 50625, 59049, 65536, 78125, 83521, 100000, 104976, 117649 (list; graph; listen)
OFFSET

1,2

COMMENT

If p|n when at least p^4|n.

MATHEMATICA

a = {1}; Do[ If[ Apply[ GCD, Last[ Transpose[ FactorInteger[n]]]] > 3, a = Append[a, n]; Print[n]], {n, 2, 131071}]; a

CROSSREFS

Cf. A001597, A076467, A076469 & A076470.

Sequence in context: A101426 A018923 A036967 this_sequence A048170 A067053 A031463

Adjacent sequences: A076465 A076466 A076467 this_sequence A076469 A076470 A076471

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 14 2002

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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