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A113495
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Lexicographically smallest subsequence of the perfect powers in A025475 such that first differences are an increasing sequence of primes.
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2
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1, 4, 9, 16, 27, 64, 125, 256, 2187, 16384, 161051, 23945242826029513411849172299223580994042798784118784, 23945249190331908165492143678605499565319109933299901
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Next terms are 2^206, 590295810335799160457^3, 2^754. [From Max Alekseyev]
Note: if the definition is changed to refer to the perfect powers in A001597, the sequence becomes A137354. -R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 07 2008
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EXAMPLE
| a(2) = 4 because 1 + 3 = 4;
a(3) = 9 because 1 + 3 + 5 = 9;
a(4) = 16 because 1 + 3 + 5 + 7 = 16;
a(5) = 27 because 1 + 3 + 5 + 7 + 11 = 27;
a(6) = 64 because 1 + 3 + 5 + 7 + 11 + 37 = 64;
a(7) = 125 because 1 + 3 + 5 + 7 + 11 + 37 + 67 = 125;
a(8) = 256 because 1 + 3 + 5 + 7 + 11 + 37 + 67 + 131 = 256.
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CROSSREFS
| Sequence in context: A009862 A132074 A137354 * A110997 A001640 A161328
Adjacent sequences: A113492 A113493 A113494 * A113496 A113497 A113498
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KEYWORD
| nonn
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AUTHOR
| Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Jan 10 2006
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EXTENSIONS
| 3 more terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 07 2008
a(12) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Aug 09 2010
a(13)-a(16) from Max Alekseyev (maxale(AT)gmail.com), May 21 2011
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