Mathematical Notes

, Volume 82, Issue 3, pp 352–356

On Euler’s hypothetical proof

Authors

    • Institute of Mathematics and Informatics
Mathematical Notes

DOI: 10.1134/S0001434607090088

Cite this article as:
Mačys, J.J. Math Notes (2007) 82: 352. doi:10.1134/S0001434607090088

Abstract

It is conjectured that Euler possessed an elementary proof of Fermat’s theorem for n = 3. In this note, we show that this opinion is rather credible, because, from Euler’s results, one can obtain an elementary proof of the nonexistence of positive integer solutions of the equation x 3 + y 3 = z 3.

Key words

Fermat’s Last Theorem coprime numbers

Copyright information

© Pleiades Publishing, Ltd. 2007