This article is cited in 2 papers

On Euler's Hypothetical Proof

J. J. Mačys

Institute of Mathematics and Informatics

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 Euler's results can justify an elementary proof of the nonexistence theorem for nontrivial integer solutions of the equation $x^3+y^3=z^3$.

Keywords: Fermat's Last Theorem, coprime numbers.

UDC: 511

Received: 03.02.2006

DOI: 10.4213/mzm3992

 English version: Mathematical Notes, 2007, 82:3, 352–356

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