It is always noteworthy that all those who seriously study this science [the theory of numbers] conceive a sort of passion for it.

I protest against the use of infinite magnitude ..., which is never permissible in mathematics.

Mathematical discoveries, like springtime violets in the woods, have their season which no human can hasten or retard.

Mathematics is the queen of the sciences.

The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.

It is always noteworthy that all those who seriously study this science [the theory of numbers] conceive a sort of passion for it.

The Infinite is only a manner of speaking.