THE BEAL CONJECTURE AND PRIZE

BEAL'S CONJECTURE: If Ax +By = Cz , where A, B, C, x, y and z are

positive integers and x, y and z are all greater than 2, then A, B and C

must have a common prime factor.

THE BEAL PRIZE. The conjecture and prize was announced in the December

1997 issue of the Notices of the American Mathematical Society. Since

that time Andy Beal has increased the amount of the prize for his

conjecture. The prize is now this: $100,000 for either a proof or a

counterexample of his conjecture. The prize money is being held by the

American Mathematical Society until it is awarded. In the meantime the

interest is being used to fund some AMS activities and the annual Erdos

Memorial Lecture.

CONDITIONS FOR WINNING THE PRIZE. The prize will be awarded by the prize

committee appointed by the American Mathematical Society. The present

committee members are Charles Fefferman, Ron Graham, and Dan Mauldin.

The requirements for the award are that in the judgment of the

committee, the solution has been recognized by the mathematics

community. This includes that either a proof has been given and the

result has appeared in a reputable refereed journal or a counterexample

has been given and verified.

PRELIMINARY RESULTS. If you have believe you have solved the problem,

please submit the solution to a reputable refereed journal. If you have

questions, they can be mailed to:

The Beal Conjecture and Prize

c/o Professor R. Daniel Mauldin

Department of Mathematics

Box 311430

University of North Texas

Denton, Texas 76203

Questions and queries can also be FAXED to 940-565-4805 or sent by

e-mail to

mauldin@... <mailto:

mauldin@...>

LINKS TO ARTICLES ABOUT THE CONJECTURE AND PRIZE

The Beal Conjecture <

http://www.bealconjecture.com>

Notices American Mathematical Society, December 1997

<

http://www.ams.org/notices/199711/beal.pdf>

Manchester Guardian January 8, 1998

<

http://online.guardian.co.uk/science/884190110-banker.html>

A computer study has been carried out by Peter Norvig who is Chief of

the Computational Sciences Division at the NASA Ames Research Center.

The program and results may be found at

Beal's Conjecture: A Search for Counterexamples

<

http://www.norvig.com/beal.html>

http://www.math.unt.edu/~mauldin/beal.html
<

http://www.math.unt.edu/%7Emauldin/beal.html>

--

Respectfully, Roger L. Bagula

tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :

URL :

http://home.earthlink.net/~tftn
URL :

http://victorian.fortunecity.com/carmelita/435/