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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2$\begingroup$ If google can't find them, they do not exist, $\endgroup$– Franz LemmermeyerNov 28, 2015 at 18:54
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$\begingroup$ 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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