Euler conjectured that at least th Powers are required for to provide a sum that
is itself an th Power. The conjecture was disproved by Lander and Parkin (1967) with the
counterexample

**References**

Lander, L. J. and Parkin, T. R. ``A Counterexample to Euler's Sum of Powers Conjecture.'' *Math. Comput.* **21**, 101-103, 1967.

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1999-05-25