Also, it has been stated that to prove the Beal Conjecture is to prove
FLT. Why so?
TIA,
On Tue, 25 Nov 1997, Alvar J. Garcia wrote:
> BTW, are A,B,C all unequal whole numbers?
>
> TIA,
>
> On Tue, 25 Nov 1997, Phil Mahler wrote:
>
> > The November 28 1997 edition of The Chronicle of Higher Education has an
> > article about a banker who discovered a conjecture that is something like
> > Fermat's Last Theorem, and is offering a prize for its proof or disproof.
> >
> > I believe the conjecture, called the Beal Conjecture, after the banker and
> > amateur mathematician that discovered it, is as follows.
> >
> > Given A,B,C,x,y,z whole numbers, x,y,z > 2. If A^x + B^y = C^z, then A, B, C
> > have a common factor.
> >
> > The only examples I could generate in a few minutes of playing with a
> > spreadsheet are 32^3 + 8^5 = 16^4, and 15^4 + 15^5 = 30^4.
> >
> > If you let the exponents include 2, then 13^2 + 3^3 = 14^2 is a
> > counterexample. Proving the Beal Conjecture would be another way to prove
> > Fermat's Last Theorem.
> >
> > Anyway you may want to check out the article yourself.
> >
> > Phil Mahler
> > Middlesex CC
> > Bedford, MA
> >
> > p.s. As I was searching for examples, with a TV on nearby, Star Trek - Next
> > Generation came on - an old episode obviously. At the beginning, the captain
> > was playing with Fermat's Last Theorem on his computer.
> > ****************************************************************************
> > * To post to the list: email mathedcc@archives.math.utk.edu *
> > * To unsubscribe, send mail to: majordomo@archives.math.utk.edu *
> > * In the mail message, enter ONLY the words: unsubscribe mathedcc *
> > * Words in the Subject: line are NOT processed! *
> > * Archives at http://archives.math.utk.edu/hypermail/mathedcc/ *
> > ****************************************************************************
> >
>
> A. Jorge Garcia Teacher/Professor Mathematics/CompSci BaldwinSHS/NassauCC
> =========================================================================
> The Calculus Page http://freenet.buffalo.edu/~aj317
> WorkBook Orders mailto:sffbookclub@compuserve.com
> All Other EMail mailto:aj317@freenet.buffalo.edu
> *************************************************************************
>
> ****************************************************************************
> * To post to the list: email mathedcc@archives.math.utk.edu *
> * To unsubscribe, send mail to: majordomo@archives.math.utk.edu *
> * In the mail message, enter ONLY the words: unsubscribe mathedcc *
> * Words in the Subject: line are NOT processed! *
> * Archives at http://archives.math.utk.edu/hypermail/mathedcc/ *
> ****************************************************************************
>
A. Jorge Garcia Teacher/Professor Mathematics/CompSci BaldwinSHS/NassauCC
=========================================================================
The Calculus Page http://freenet.buffalo.edu/~aj317
WorkBook Orders mailto:sffbookclub@compuserve.com
All Other EMail mailto:aj317@freenet.buffalo.edu
*************************************************************************
****************************************************************************
* To post to the list: email mathedcc@archives.math.utk.edu *
* To unsubscribe, send mail to: majordomo@archives.math.utk.edu *
* In the mail message, enter ONLY the words: unsubscribe mathedcc *
* Words in the Subject: line are NOT processed! *
* Archives at http://archives.math.utk.edu/hypermail/mathedcc/ *
****************************************************************************