Pierre de Fermat Quotes

7 Sourced Quotes

We have found a beautiful and most general proposition, namely, that every integer is either a square, or the sum of two, three or at most four squares. This theorem depends on some of the most recondite mysteries of number, and is not possible to present its proof on the margin of this page.

Pierre de Fermat
But it is impossible to divide a cube into two cubes, or a fourth power into two fourth powers, or generally any power beyond the square into two like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it.

Pierre de Fermat
And this proposition is generally true for all progressions and for all prime numbers; the proof of which I would send to you, if I were not afraid to be too long.

Pierre de Fermat
I have discovered a truly remarkable proof of this theorem which this margin is too small to contain.

Pierre de Fermat
I have found a very great number of exceedingly beautiful theorems.

Pierre de Fermat
There is scarcely any one who states purely arithmetical questions, scarcely any who understands them. Is this not because arithmetic has been treated up to this time geometrically rather than arithmetically?

Pierre de Fermat
But it is impossible to divide a cube into two cubes, or a fourth power into two fourth powers, or generally any power beyond the square into two like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it.

Pierre de Fermat