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Jan 5, 2017 at 21:32 comment added Kevin Buzzard @T. Amdeberhan: That's not right either -- $(n,m)=(58,174)$.
Jan 5, 2017 at 21:09 comment added T. Amdeberhan @RobertIsrael: Oh, you're right thanks. I was meaning to write $(2^{2n}+1,2^{2m}+1)$. I Hope this is correct.
Jan 5, 2017 at 20:19 comment added Robert Israel @T.Amdeberhan The largest prime factor of $2^{51}+1$ is $43691$, which divides $2^{17}+1$.
Jan 5, 2017 at 19:16 comment added T. Amdeberhan I suspect the answer is "yes"; even for the pair $(2^n+1,2^m+1)$ provided $m>3$.
Jan 5, 2017 at 17:37 history asked Amir Baghban CC BY-SA 3.0