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Move Over Fermat, Now It's Time for Beal's Problem

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Author:Keith Devlin (Devlin's Angle)
Description: 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: xm + yn = zr. 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.

Levels: High School (9-12), College, Research
Languages: English
Resource Types: Articles
Math Topics: History and Biography, Number Theory

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