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Oct 21, 2013 at 6:06 history edited S. Carnahan CC BY-SA 3.0
Perhaps we should link to the abstract page, instead of updating the pdf link each time a new version of a paper appears
S Oct 21, 2013 at 6:03 history suggested Stefan Keil CC BY-SA 3.0
Replaced link with latest version.
Oct 21, 2013 at 6:00 review Suggested edits
S Oct 21, 2013 at 6:03
Aug 28, 2013 at 14:06 vote accept Colin McLarty
Aug 27, 2013 at 22:14 comment added Colin McLarty This does not refute the centuries old consensus that FLT is a rather isolated fact in number theory. But it is a serious application. Keil wanted to complete a calculation and the easiest way he could see to do it was FLT.
Aug 27, 2013 at 11:58 comment added Franz Lemmermeyer FLT for exponent 7 can be proved using a standard 2-descent. It is arguably simpler than FLT for exponent 3, which requires 3-descent or a 2-descent over number fields.
Aug 27, 2013 at 10:52 comment added Oliver Nash On the one hand this is, of course, awesome. On the other, this only uses FLT for n=7 so it is possible to argue it doesn't count as a real application. Still very satisfying though!
Aug 26, 2013 at 17:40 comment added Alex B. @ColinMcLarty: it is an absolutely serious use. There are other ways of doing this (rational points on the corresponding modular curves), but possibly not easier or more elementary than this one.
Aug 26, 2013 at 17:33 comment added Colin McLarty In that corollary he needs to show certain rational numbers $q$ and $q-1$ cannot both be 7th powers, and he gets that immediately from degree 7 FLT. Looks like a serious use to me.
Aug 26, 2013 at 16:51 history answered Alex B. CC BY-SA 3.0