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Overview Pythagorean origins The Pythagorean equation, x 2 y 2 = z 2, has an infinite number of positive integer solutions for x, y, and z;.
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These solutions are known as Pythagorean triples (with the simplest example 3,4,5) Around 1637, Fermat wrote in the margin of a book that the more general equation a n b n = c n had no solutions in positive integers if n is an integer greater than 2.
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