Fermat's Last Theorem (FLT)

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Does anyone have a general idea about how the theorem was proven?

The details, of course, are not suitable for posting in the forum. What I'd like to find is the general overview of the theorem from which FLT was obtained as a corollary.

Mr. Robin Parsons
Respectfully, as one who tried (succeeded?) at this one, all you really need to do is prove is that, for all values of n > 2 the resultant is no longer a right angle triangle.

At least that was how I went about it, some success, but I suspect it isn't a viable as I would have liked it to be as I ended up needing to sorta take a shortcut to arrive at conclusive proof.

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The story of the proof, and its connection to the Tamiyama-Shimura conjecture, is told here .

Mr. Robin Parsons
The story of the proof, and its connection to the Tamiyama-Shimura conjecture, is told
Had heard that Mr. Wiles had reduced (the length) his proof using some (easier) algebra...down from the original at 'X' (sorry don't recall right now) hundred pages.

Homework Helper
What possible connection could xn+yn= zn for n> 2 have with a right triangle?

And when you say "the resultant is no longer a right angle triangle", what "resultant" are you talking about??

Mr. Robin Parsons
Originally posted by HallsofIvy
What possible connection could xn+yn= zn for n> 2 have with a right triangle?
And when you say "the resultant is no longer a right angle triangle", what "resultant" are you talking about??
Because at the value of 2 it produces a right angle triangle, Pythagoran (sp?) theorem, and all values greater then 2 (n > 2) will NOT result in a right angle triangle. OK?

Homework Helper
I think you MEAN that "if you have a triangle with sides of length a, b, c and such that an+ bn= cn with n and integer greater than 2, then the triangle is not a right triangle." That's surely true but I don't see what it has to do with Fermat's Last Theorem. For one thing, it says nothing about a, b, c being integers.

Mr. Robin Parsons
Originally posted by HallsofIvy
I think you MEAN that "if you have a triangle with sides of length a, b, c and such that an+ bn= cn with n and integer greater than 2, then the triangle is not a right triangle." That's surely true but I don't see what it has to do with Fermat's Last Theorem. For one thing, it says nothing about a, b, c being integers.
No it doesn't, but it is an approach to the problem, none the less.