Mathematical Notes

Mathematical Notes

, Volume 82, Issue 3, pp 352-356

On Euler’s hypothetical proof

  • J. J. MačysAffiliated withInstitute of Mathematics and Informatics Email author 

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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