From: radcliff@alpha2.csd.uwm.edu (David G Radcliffe)
Newsgroups: sci.math
Subject: Re: wanted:new pf of Fermat's
Date: 1 Feb 1995 23:37:14 GMT

Kim yultae (automata@pandora.snu.ac.kr) wrote:
: I would like to see the pf of Fermat's last theorem       
: (which is done by a young boy)

:                
: Is there any one who have the full paper?

There was an article about it in the New York Times on January 25th, 
which showed a small portion of the paper.

Alexandr Khazanov found 3x3 integer matrices X, Y, Z such that
X + Y = Z and X^3 = Y^3 = Z^3 = I.  It follows that X^n + Y^n = Z^n
whenever n = 1 (mod 3).  These matrices are

       [ 1  0  0 ]           [  0  1  0 ]          [  1  1  0 ]
   X = [ 0  1 -1 ]       Y = [ -1  1 -1 ]      Z = [ -1  2 -2 ]  .
       [ 0  3 -2 ]           [ -2  0 -1 ]          [ -2  3 -3 ]

It appears that he was able to find, for any n not divisible by 12,
3x3 integer matrices X,Y,Z with determinant +- 1 such that X^n + Y^n = Z^n.

--
Dave Radcliffe				radcliff@alpha2.csd.uwm.edu

A great many people think they are thinking when they are merely
rearranging their prejudices.  -- William James