**BEAL'S CONJECTURE:** If A^{x} +B^{y} = C^{z} , 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: $1,000,000 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 rules and
regulations for winning the prize may be found at the American Mathematical
Society website: Beal
Prize

**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