On Euler’s hypothetical proof
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 wordsFermat’s Last Theorem coprime numbers
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- 1.H. Edwards, Fermat’s Last Theorem (Springer, New York, 2000).Google Scholar
- 3.M. M. Postnikov, An Introduction to the Theory of Algebraic Numbers (Nauka, Moscow, 1982) [in Russian].Google Scholar
- 4.M. M. Postnikov, Fermat’s Theorem: An Introduction to the Theory of Algebraic Numbers (Nauka, Moscow, 1978) [in Russian].Google Scholar