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A076470 Perfect powers m^k where m is an integer and k > 5. +0
6
1, 64, 128, 256, 512, 729, 1024, 2048, 2187, 4096, 6561, 8192, 15625, 16384, 19683, 32768, 46656, 59049, 65536, 78125, 117649, 131072, 177147, 262144, 279936, 390625, 524288, 531441, 823543, 1000000, 1048576, 1594323, 1679616, 1771561 (list; graph; listen)
OFFSET

1,2

COMMENT

A necessary but not sufficient condition is that if p|n when at least p^6|n.

MATHEMATICA

a = {1}; Do[ If[ Apply[ GCD, Last[ Transpose[ FactorInteger[n]]]] > 4, a = Append[a, n]; Print[n]], {n, 2, 1953124}]; a

CROSSREFS

Cf. A001597, A076467, A076468, A076469. Different from A069493.

Sequence in context: A043335 A023708 A069493 this_sequence A031464 A045076 A068410

Adjacent sequences: A076467 A076468 A076469 this_sequence A076471 A076472 A076473

KEYWORD

nonn

AUTHOR

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

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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