Mathematical Notes

, Volume 82, Issue 3, pp 352–356

On Euler’s hypothetical proof

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 x3 + y3 = z3.

Key words

Fermat’s Last Theoremcoprime numbers

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsVilniusLithuania