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Search: id:A076470
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| A076470 |
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Perfect powers m^k where m is an integer and k > 5. |
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+0 6
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| 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
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OFFSET
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1,2
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COMMENT
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A necessary but not sufficient condition is that if p|n when at least p^6|n.
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MATHEMATICA
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a = {1}; Do[ If[ Apply[ GCD, Last[ Transpose[ FactorInteger[n]]]] > 4, a = Append[a, n]; Print[n]], {n, 2, 1953124}]; a
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CROSSREFS
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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
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 14 2002
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