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Aug 20, 2014 at 7:29 comment added Yes Thanks so much. I wish I can vote you up more than once.
Aug 20, 2014 at 3:55 comment added GH from MO And also by Siksek, see J. Théor. Nombres Bordeaux 15 (2003), 839–846.
Aug 20, 2014 at 3:54 history edited Lucia CC BY-SA 3.0
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Aug 20, 2014 at 3:52 comment added GH from MO And very similar result were proved by Ivorra, see Acta Arith. 108 (2003), 327–338.
Aug 20, 2014 at 3:51 comment added Lucia @GHfromMO: Thanks for pointing that out! I'll also add a link to Darmon's paper.
Aug 20, 2014 at 3:48 vote accept Yes
Aug 20, 2014 at 3:48 comment added GH from MO Actually Darmon already proved in 1993 that, assuming the Shimura-Taniyama conjecture, there are no nonzero solutions for $p\geq 17$ and for $p=11$. See Proposition 2.5 in his paper (Internat. Math. Res. Notices 1993, 263–274).
Aug 20, 2014 at 3:40 history answered Lucia CC BY-SA 3.0