Move Over Fermat, Now It's Time for Beal's Problem
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Keith Devlin (Devlin's Angle)  
Beal's Problem is like Fermat's, but instead of focusing on equations with one exponent, n, there are three: m, n, and r. Thus, Beal's equation looks like this: x^m + y^n = z^r. The idea is to look for whole number solutions to this equation where the solution values for x, y, and z have no common factor (i.e., there is no whole number greater than 1 that divides each of x, y, and z). Beal has conjectured that if the exponents m, n, and r are all greater than 2, then his equation has no such solution for x, y, and z.  


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