In the margin of his copy of Diophantus' Arithmetica, Fermat wrote To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.
More Quotes from Pierre de Fermat:
I have found a very great number of exceedingly beautiful theorems.Pierre de Fermat
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
I am more exempt and more distant than any man in the world.
Pierre de Fermat
And perhaps, posterity will thank me for having shown it that the ancients did not know everything.
Pierre de Fermat
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; of this I have found a remarkable demonstration. This margin is too narrow to contain it.
Pierre de Fermat
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