Pierre de Fermat

I have discovered a truly marvelous proof of this, which this margin is too narrow to contain.

It is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second into two like powers. I have discovered a truly marvelous proof of this, which this margin is too narrow to contain.

To divide a given number into two cubes, or two fourth powers, or two fifth powers, etc., is impossible for any power greater than the second.

I am astonished that these propositions, which are so easy to state, are so difficult to prove.

I have found a great number of very beautiful theorems of arithmetic.

The last theorem of Fermat, as it is called, has tormented mathematicians for centuries.

The method of maxima and minima, which I have found, is general and applies to all kinds of problems.

I have found a method of determining the tangents to all kinds of curves.

The path of light between two points is that which takes the least time.

Nature always acts by the shortest path.

I have found a method of determining the center of gravity of any figure.

I have discovered a method of finding the area of any curve.

Every number which is not a square is the sum of two squares.

Every prime number of the form 4n+1 is uniquely the sum of two squares.

If p is a prime number, then for any integer a not divisible by p, we have a^(p-1) ≡ 1 (mod p).

I have discovered a method of finding the integral of any power of x.

The theory of numbers has a charm of its own, which is not found in other branches of mathematics.

I have found a method of finding the tangents to all kinds of curves, and of determining their maxima and minima.

I have found a method of finding the area of any curve, and of determining its center of gravity.

I have discovered a method of finding the integral of any power of x, and of determining its maxima and minima.