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