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A113495
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Lexicographically earliest subsequence of the perfect powers in A025475 such that first differences are an increasing sequence of primes.
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3
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1, 4, 9, 16, 27, 64, 125, 256, 2187, 16384, 161051, 23945242826029513411849172299223580994042798784118784, 23945249190331908165492143678605499565319109933299901
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OFFSET
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1,2
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COMMENTS
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Next terms are a(14) = 2^206, a(15) = 590295810335799160457^3, a(16) = 2^754. - Max Alekseyev, May 21 2011
Note: if the definition is changed to refer to the perfect powers in A001597, the sequence becomes A137354. -R. J. Mathar, Mar 07 2008
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LINKS
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EXAMPLE
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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 + 61 = 125;
a(8) = 256 because 1 + 3 + 5 + 7 + 11 + 37 + 61 + 131 = 256.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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