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Out of curiosity, i'm wondering whether there exists a shorter proof of FLT for $n=4$ with respect to the one of infinite descent ? The Wikipedia article on this subject states that more proofs were later found by Euler, Hilbert and others, but none of these papers shows up after a Google search.

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    $\begingroup$ If google can't find them, they do not exist, $\endgroup$ Nov 28, 2015 at 18:54
  • $\begingroup$ I guess Franz Lemmermeyer was being facetious, but I also guess you didn't try very hard, because in fact the Wikipedia article cites the articles by Euler and Hilbert in the reference section, and a translation of Euler's article (into German) can be found here: arxiv.org/pdf/1202.3808v1.pdf. $\endgroup$
    – Todd Trimble
    Oct 16, 2016 at 23:41

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How much shorter than one page do you expect?

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    $\begingroup$ Just mere curiosity Igor, maybe one that can ''fit in the margin of the Arithmetica''. $\endgroup$
    – user83236
    Nov 28, 2015 at 22:09