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A076469 Perfect powers m^k where m is an integer and k > 4. +0
4
1, 32, 64, 128, 243, 256, 512, 729, 1024, 2048, 2187, 3125, 4096, 6561, 7776, 8192, 15625, 16384, 16807, 19683, 32768, 46656, 59049, 65536, 78125, 100000, 117649, 131072, 161051, 177147, 248832, 262144, 279936, 371293, 390625, 524288, 531441 (list; graph; listen)
OFFSET

1,2

COMMENT

If p|n when at least p^5|n.

MATHEMATICA

a = {1}; Do[ If[ Apply[ GCD, Last[ Transpose[ FactorInteger[n]]]] > 4, a = Append[a, n]; Print[n]], {n, 2, 537823}]; a

CROSSREFS

Cf. A001597, A076467, A076468 and A076470.

Sequence in context: A116318 A122616 A069492 this_sequence A110562 A045048 A132773

Adjacent sequences: A076466 A076467 A076468 this_sequence A076470 A076471 A076472

KEYWORD

nonn

AUTHOR

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

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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