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#135 - 10/24/04 07:49 PM fermat Last Theorem6666666666666666666
ben ito Offline
Junior Member

Registered: 10/23/04
Posts: 10
1564.1

Fermat's Last Theorem
Ben Ito
10-24-04

I will solve Fermat's last theorem.

l. Introduction

I will show that Fermat (n=4) and Wiles' proofs are invalid then prove that x^n + y^Y = z^n only forms integer solutions when n>2 using the circle transformations.

2. Fermat's Proof (n=4)

Fermat's Proof when n=4 is described. Fermat's proof is based on the following statement, "Finally, if there any solutions of

x^4 + y^4 = z^4 (equ 1)

in whole numbers, then we could let c =z^2 to get x^4 + y^4 = c^2, and applying the above argument woud lead to a contradiction. We are forced to conclude that no such solution is possible, which proves Fermat's Last Theorem for the case n=4." (Osserman, p. 22).

Fermat is assuming that c = z^2 contradicts Pythagorean's equation; however, when c = z^2 is used in x^4 + y^4 =c ^2,

x^4 + y^4 = z^4,(equ 2)

which eliminates the contradiction; therefore, Fermat's justification that no integer solution exist for n=4 is invalid.

3. Wiles' Proof

Wiles implies that Diophantine equations x^n + Y^n = z^n can be translated to described a set of elliptic curves. "These curves represent the surface of a torus, an object shaped like a smooth doughnut." (Savant, p. 30). However, the equation for an elliptic curve is

y^2 = x^3 + ax^2 + bx + c; (equ 3)

Elliptic curve are only valid for n=3; therefore, Wiles' assumption that he has solved Fermat's Last Theorem using elliptic curves is invalid.

4. B. Ito's Proof.


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#136 - 10/25/04 12:31 AM Re: fermat Last Theorem6666666666666666666
DA Morgan Offline
Megastar

Registered: 10/17/04
Posts: 4136
Loc: Seattle, WA
Fermat had no proof that is know. And yet you have proven a non-existant proof invalid.

Do you know what that makes you?

Pathetic!
_________________________
DA Morgan

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#137 - 10/25/04 12:22 PM Re: fermat Last Theorem6666666666666666666
Anonymous
Unregistered


Hello, Ben Ito. Welcome to the board. We hope you'll continue to contribute to our untamed intellectual exercise here. Play nice, play Science. See you around!

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#138 - 10/27/04 11:14 PM Re: fermat Last Theorem6666666666666666666
ben ito Offline
Junior Member

Registered: 10/23/04
Posts: 10
Thanks Amaranth Rose, I'm always gentle (BEN)

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