I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intell… - Carl Friedrich Gauss

All the measurements in the world do not balance one theorem by which the science of eternal truths is actually advanced.

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.

If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.