Leonhard Euler

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.

For since the fabric of the universe is most perfect, and is the work of a most wise Creator, nothing whatsoever takes place in the universe in which some relation of maximum or minimum does not appear.

Nothing is better than eternity. Eternity is better than anything. Therefore, nothing is better than nothing.

If a triangle were isosceles, it would have two equal sides.

We have therefore found a square number which is the sum of two other square numbers, namely 50 = 49 + 1 = 7² + 1².

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

In the works of Archimedes, we already find a clear distinction between pure and applied mathematics.

The properties of the equilateral triangle are so remarkable that they deserve to be investigated more deeply.

I now have ample leisure for mathematical studies, and I shall continue them with renewed vigor.

The infinite! No other question has ever moved so profoundly the spirit of man.

Read Euler, read Euler, he is the master of us all.

One can imagine a time when the series of prime numbers will be as well understood as the harmonics of music.

The doctrine of series is the foundation of analysis.

In mathematics, as in life, the shortest path is not always the straight line.

The number e is the foundation of natural logarithms and exponential growth.

π is the most remarkable constant in mathematics.

The Euler identity e^{iπ} + 1 = 0 unites the most fundamental constants of mathematics.

Blindness has not hindered my work; my mind's eye sees clearly.

The study of numbers is the noblest pursuit of the human intellect.

In the calculus of variations, we seek the path of least action.