I have had my results for a long time: but I do not yet know how I am to arrive at them.

My young friend, I wish that science would intoxicate you as much as our good Göttingen beer! Upon seeing a student staggering down a street.

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

I have had my results for a long time: but I do not yet know how I am to arrive at them.

Mathematics is concerned only with the enumeration and comparison of relations.

You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.

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.