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It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.

~ Pierre de Fermat ~

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It is impossible for any number which is a power greater than the second to be written as a sum of t...

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But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers;...