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@unt.edu
LINKS TO ARTICLES ABOUT THE CONJECTURE AND PRIZE
The Beal Conjecture
Notices
American Mathematical Society, December 1997
Manchester
Guardian January 8, 1998
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