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 has engaged the industry and wisdom of ancient and modern geometers to such an extent that it would be superfluous to discuss the problem at length. ... Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.

In mathematics there are no true controversies.

Ask her to wait a moment - I am almost done.

I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of.

His second motto: Thou, nature, art my goddess; to thy laws my services are bound.

The Infinite is only a manner of speaking.

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