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Jul 1, 2021 at 11:33 comment added Jeremy Rouse You could modify the argument by allowing $k \in \{ 0, 1, \ldots, 7 \}$ to force $d \equiv 1 \pmod{8}$.
Jul 1, 2021 at 3:02 comment added user311108 In addition, perhaps $2$ might be allowed to split in $K$?
Jun 30, 2021 at 16:20 comment added user311108 Great! Thanks a lot.
Jun 30, 2021 at 16:20 vote accept user311108
Jun 30, 2021 at 15:47 history edited Jeremy Rouse CC BY-SA 4.0
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Jun 30, 2021 at 13:55 comment added user311108 Thanks. Unfortunately, as stated, Wiles' result requires $S_{\pm}$ to only consist of odd primes. Is the hypothesis inessential for the argument?
Jun 30, 2021 at 13:50 history answered Jeremy Rouse CC BY-SA 4.0