Mathematisches Institut der Universität Göttingen, Bunsenstraße 3--5, D-37073 Göttingen, Germany ; Mathematisches Institut der Universität Göttingen, Bunsenstraße 3--5, D-37073 Göttingen, Germany
Abstract:
We show that, within the hypercube , the Diophantine equation admits essentially one and only one nontrivial solution, namely . The investigation is based on a systematic search by computer.