Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Topic: Joke (one school formula and not a school withdrawal)
Replies: 1   Last Post: Jul 3, 2013 10:51 PM

 Search Thread: Advanced Search

 Messages: [ Previous | Next ]
 Victor Sorokine Posts: 3 From: Mezos France Registered: 5/3/13
Joke (one school formula and not a school withdrawal)
Posted: May 3, 2013 2:35 AM
 Plain Text Reply

Assume that for coprime A, B and C and
1°) A^n=C^n-B^n [=(C-B)P], where n>2 and C>B>0 and
1a°) P=p^n=C^{n-1}+C^{n-2}B+? +CB^{n-2}+B^{n-1}.

The proof of the FLT

If B=C-1 (obviously in this case, equation 1° has no solutions), we have:
2°) C^n-(C-1)^n=1*[C^{n-1}+C^{n-2}(C-1)+? +C(C-1)^{n-2}+(C-1)^{n-1}] [=max P].

To get any other meaning of the number P, the number C-1 should be monotonically increased ? to judge from the left side of 2°, and THAT SAME number C-1 should monotonically decrease (up to the value B) ? judging by the right of the 2°.

And we have an insoluble contradiction. This proves the theorem.

Date Subject Author
5/3/13 Victor Sorokine
7/3/13 grei

© The Math Forum at NCTM 1994-2017. All Rights Reserved.