Yes or No?
And why do you think that?
I think he had a proof he believed in. Whether it was correct or not I couldn't say, but I don't doubt Fermat's belief that he had one.
No, definitely not. It was barely proved using the latest mathematical achievements that Fermat definitely didn't know. Unless mathematicians overlooked a simpler possibility of proving it, which I doubt. As far as I know, however, mathematics so advanced was required to prove there were no solutions to the theorem, that Fermat with only beginnings of calculus as his tools could not possibly have a proof.
The margins of Fermat's book were not large enough to contain Wiles' proof, so it is likely that that was the proof Fermat had in mind.
Are you an idiot or are you joking?
:rofl: Do you really have to ask?
Not a chance. Fermat had plenty of time to publish (or at least write) such a proof, but he didn't. Instead, he proved only a special case of FLT... a good indication he changed his mind about the correctness of the proof he had in mind.
I don't doubt that he was able to prove it successfully for the first few integers([itex]x^3+y^3 \neq z^3[/itex] etc), but if he believed that he had a general proof, it was probably flawed.
nooo way unless there's a really simple proof which is unlikly...
Wouldn't he have published it if he did find out the answer?
He didn't publish the proofs of his other theorems. And they all turned out to be correct. From what I have heard, he didn't do maths to help the mathematical community. He just did it for fun, and as soon as he got the essence of a problem, he went on to do another one without checking it.
He often told people he had proofs to problems, and then didn't tell them the proof on purpose. Just so he could watch them fail and feel better about himself.
So he wouldn't of published it, he never published his proofs.
But then why would he publish a proof for a specific case (n= 3?) if he had a "simple" proof that would work for all n?
I think what happened is what happens to all of us- he thought that the had a brilliant, simple, proof that, when he actually started working out the details, turned out not to work.
I tend to favor the theory that his "truly marvelous proof" alluded to was just a proof for the n=3 case. At least in the common english translation it seems easy to interpret Fermat's famous margin note such that the "or in general..." was just an aside and Fermat was not even trying to say he actually had a proof for the general case. I guess that leaves me voting no.
The first time i heard about this theorem I was probably 13 or 14 and I mistakenly thought it was saying a^n + b^o cannot equal c^p. for every number bigger than two. I knew that couldn't be true and actually spent a little while proving it wasn't true. Then got into an argument with my teacher telling her she was wrong.
Was it possible that he never even claimed he had a general proof? And we just misinterpreted him?
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