US$ 1 milhão para a pessoa que provar um problema de matemática!

The Beal Prize was funded by Andrew Beal, a prominent banker who is also a mathematics enthusiast. An AMS-appointed committee will award this prize for either a proof of, or a counterexample to, the Beal Conjecturepublished in a refereed and respected mathematics publication. The prize money – currently US$1,000,000 –  is being held in trust by the AMS until it is awarded. Income from the prize fund is used to support the annual Erdős Memorial Lecture and other activities of the Society. The Beal conjecture and prize were announced in anarticle that appeared in the December 1997 issue of Notices of the American Mathematical Society. One of Andrew Beal's goals is to inspire young people to think about the equation, think about winning the offered prize, and in the process become more interested in the field of mathematics.

Beal Prize 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.
[By way of example, 3³ + 6³ = 3⁵, but the numbers that are the bases have a common factor of 3, so the equation does not disprove the theorem; it is not a counterexample.]

The BPC will consider a proposed solution if it is a complete mathematical solution of the Beal Prize Problem. Before consideration, a proposed solution (the “Work”) must be published in a refereed mathematics publication which is respected and, in the opinion of the BPC, maintains the highest editorial standards (or published in another form as the BPC decides may qualify). In the case of a counterexample, the proposed solution will be subject to independent verification. Upon publication, the author(s) of the Work should notify the AMS and the BPC by sending email to bealprize@ams.org or by sending mail to:

Beal Prize Committee
c/o Executive Director
American Mathematical Society
201 Charles Street
Providence, RI 02904 USA.