🚀 go-pugleaf

In article <2787@tymix.Tymnet.COM> rick@daffodil.tymnet.com (Rick McFarland) writes:
>Perhaps this news group can help ....
>
>There is  a  lot of discussion in another news group about
>
>    Fermat's "Final?"  Theorem
>
>For all integers  n > 2,  there is NO integer  solution  for
>         n           n              n
>      A    +    B     =      C    

There are no integers that satisfy this relationship for n < 100000.
This makes any solutions (besides 2) trivial.  It may be that Fermat
thought he had a proof that there are no integers besides 2 that
satisfy this condition.  That really would have been more interesting.
Also, remember that all true statements cannot be proved(Godel's
Incompleteness Theorem).  Therefore, the proof of the statement that
no integer besides 2 satisfies this condition may not exist.

Rodney

rick@daffodil.tymnet.com (Rick McFarland) writes:

> Perhaps this news group can help ....
> 
> There is  a  lot of discussion in another news group about
> 
>     Fermat's "Final?"  Theorem
> 
> For all integers  n > 2,  there is NO integer  solution  for
>          n           n              n
>       A    +    B     =      C    
> 
> I have  heard  conflicting stories that 
> 1)  A  proof does not exist and  Fermat died leaving behind a message
>      "remarkable proof!"  implying that he found a simple proof.
> 2)  A  proof DOES exist but it is very complex.  Thus, Fermat's simple
>      proof either  eludes us  or  his "remarkable" proof was flawed.

The short answer is that no proof exists. Many have tried and all have
failed. Questions about Fermat's Last Theorem seem to appear fairly
regularly so a longer, more complete, answer to your question  can be
found in the regular FAQ posting on rec.games.

Paul

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