Pierre de Fermat

“It is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second, into two like powers. I have discovered a truly marvelous proof of this, which this margin is too narrow to contain.”  –Pierre de Fermat

In other words the equation xn + yn = zn has no (whole-number) solutions for any power n greater than 2.  The theorem took approximately four hundred years to solve.

 

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