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Re:Counterexample to Euler's conjecture on sums of like powers by pajop on Saturday June 11, 2016 @02:23AM (#11882334)
There's a more detailed discussion at "A Survey of Equal Sums and Power" by L. J. Lander, T. R. Parkin and J. L. Selfridge http://www.jstor.org/stable/2003249 (under 5.1.n)

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