Et peut-être la posterité me saura gré de lui avoir fait connaître que les Anciens n’ont pas tout su. (And perhaps, posterity will thank me for having shown that the ancients did not know everything.)

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

I'm not a scientist or a mathematician.

Occasionally, I get a letter from someone who is in “contact” with extraterrestrials. I am invited to “ask them anything.” And so over the years I’ve prepared a little list of questions. The extraterrestrials are very advanced, remember. So I ask things like, “Please provide a short proof of Fermat’s Last Theorem.” Or the Goldbach Conjecture. And then I have to explain what these are, because extraterrestrials will not call it Fermat’s Last Theorem. So I write out the simple equation with the exponents. I never get an answer. On the other hand, if I ask something like “Should we be good?” I almost always get an answer.

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.

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.