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Nov 15, 2017 at 18:04 comment added Pablo @LiorBary-Soroker you are right, I have completely missed this point. For instance, if $n=3$ and $p=11$ there seems to be a problem. As you correctly suggest, one needs the extra assumption that the negative Pell equation has a solution.
Nov 15, 2017 at 16:04 comment added Lior Bary-Soroker How do you know that the norm of a is positive? You either need to prove it, or to show that there is a unit with negative norm (i.e., solution to $X^2-nY^2=-1$, for $n=2$ one may take $(1,1)$, of course...).
Jun 22, 2016 at 13:58 history edited Emil Jeřábek CC BY-SA 3.0
fix TeX and spelling
Feb 20, 2015 at 16:19 comment added Pablo It is possible that I will write also a completely elementary solution soon. Hope it will be of interest.
Feb 20, 2015 at 16:14 comment added ReverseFlowControl Thanks!! I like this solution better, but I appreciate the variety of perspectives to solve this.
Feb 20, 2015 at 16:11 vote accept ReverseFlowControl
Feb 19, 2015 at 9:17 history edited Pablo CC BY-SA 3.0
added 47 characters in body
Feb 19, 2015 at 9:11 history edited Pablo CC BY-SA 3.0
added 47 characters in body
Feb 19, 2015 at 9:03 history answered Pablo CC BY-SA 3.0