"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."

"I am more exempt and more distant than any man in the world."

"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."

"I will share all of this with you whenever you wish."

"And perhaps, posterity will thank me for having shown it that the ancients did not know everything."