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Matematicheskie Zametki, 2007, Volume 82, Issue 3, Pages 395–400
DOI: https://doi.org/10.4213/mzm3992 (Mi mzm3992) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Euler's Hypothetical Proof

J. J. Mačys

Institute of Mathematics and Informatics
Full-text PDF (339 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3992
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.
Received: 03.02.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 3, Pages 352–356
DOI: https://doi.org/10.1134/S0001434607090088
Bibliographic databases:
UDC: 511
Language: Russian
Citation: J. J. Mačys, “On Euler's Hypothetical Proof”, Mat. Zametki, 82:3 (2007), 395–400; Math. Notes, 82:3 (2007), 352–356
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. Yuriy Gevorkyan, “The proof of Fermat's last theorem based on the geometric principle”, Eureka: PE, 2023, no. 5, 156  crossref
    2. Bussotti P., Pisano R., “Historical and Foundational Details on the Method of Infinite Descent: Every Prime Number of the Form 4N+1 Is the Sum of Two Squares”, Found. Sci., 25:3 (2020), 671–702  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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