COUNTEREXAMPLE TO EULER'S CONJECTURE
ON SUMS OF LIKE POWERS

BY RUST AND WASM

Communicated by Rust Shortest Paper Team[3], January 30, 2022

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as the smallest instances in which four fifth powers sum to a fifth power. This is a counterexample to a conjecture by Euler[1] that at least n nth powers are required to sum to an nth power, n>2.

REFERENCE

  1. L. E. Dickson, History of the theory of numbers, Vol. 2, Chelsea, New York, 1952, p.648.

  2. Lander, L. J.; Parkin, T. R. (1966). "Counterexample to Euler's conjecture on sums of like powers". Bull. Amer. Math. Soc. 72 (6): 1079. (pdf format)