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Mathematical Notes

, Volume 82, Issue 3–4, pp 352–356 | Cite as

On Euler’s hypothetical proof

  • J. J. Mačys
Mathematical Notes

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 

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References

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    H. Edwards, Fermat’s Last Theorem (Springer, New York, 2000).Google Scholar
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    M. M. Postnikov, Fermat’s Theorem: An Introduction to the Theory of Algebraic Numbers (Nauka, Moscow, 1978) [in Russian].Google Scholar
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    W. Sierpinski, Elementary Theory of Numbers (PWN, Warsaw, 1964).zbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsVilniusLithuania

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