The “Euler’s conjecture” is proposed by Leonhard Euler in 1769, and is related to “Fermat’s last theorem”. It states that for every integer n greater than 2, the sum of n –1 nth powers of positive integers cannot itself be an nth power. The conjecture was disproved by L. J. Lander and T. R. Parkin in 1966, when they found the following counterexample for n = 5: 275 + 845 + 1105 + 1335 = 1445.