That's fascinating. I wonder if such a generalization has been tried before.
Quote:
Originally Posted by CraigD
Is there any  such that and  ? Fermat’s Last Theorem states that there is not for  . Is there some  for which a “generalized FLT” is false?
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I checked m=3, n=4

,

,

= {1-100} and I'm currently running through m=4, n=5,

...

= {1-100} with nothing found so far.
Very exciting
~modest