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A020896
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Positive numbers n such that n = x^5 + y^5 has a solution in nonzero integers x, y.
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0
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2, 31, 33, 64, 211, 242, 244, 275, 486, 781, 992, 1023, 1025, 1056, 1267, 2048, 2101, 2882, 3093, 3124, 3126, 3157, 3368, 4149, 4651, 6250, 6752, 7533, 7744, 7775, 7777, 7808, 8019, 8800, 9031, 10901, 13682, 15552, 15783, 15961, 16564
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 68101 = (15/2)^5 + (17/2)^5 is believed to be the smallest positive integer n which is the sum of two nonzero fifth powers of rational numbers but not the sum of two nonzero fifth powers of integers.
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LINKS
| S. R. Finch, On a Generalized Fermat-Wiles Equation
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EXAMPLE
| E.g. 31 = 2^5 + (-1)^5.
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MATHEMATICA
| Select[Union[Total/@(Select[Tuples[Range[-8, 8], {2}], !MemberQ[#, 0]&]^5)], #>0&] (* From Harvey P. Dale, Apr 03 2011 *)
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CROSSREFS
| Cf. A001481, A020897, A003336.
Sequence in context: A117816 A099189 A053234 * A042153 A102630 A120638
Adjacent sequences: A020893 A020894 A020895 * A020897 A020898 A020899
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KEYWORD
| nonn,nice
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AUTHOR
| Steven.Finch(AT)inria.fr (S. R. Finch)
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