>COUNTEREXAMPLE TO EULER'S CONJECTURE ON SUMS OF LIKE POWERS BY L. J. LANDER AND T. R. PARKIN Communicated by J. D. Swift, June 27, 1966 A direct search on the CDC 6600 yielded 275 + 845 + HO5 + 1336 - 1445 as the smallest instance in which four fifth powers sum to a fifth power. This is a counterexample to a conjecture by Euler [l] 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.
