I do not know an instance of a major mathematical advance initiated by a man past fifty

The primes are the raw material out of which we have to build arithmetic, and Euclid's theorem assures us that we have plenty of material for the task.

Most people can do nothing at all well

A chess problem is simply an exercise in pure mathematics.

For my part, it is difficult for me to say what I owe to Ramanujan - his originality has been a constant source of suggestion to me ever since I knew him, and his death is one of the worst blows I have ever had.

They [formulae 1.10 - 1.12 of Ramanujan] must be true because, if they were not true, no one would have had the imagination to invent them.

No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game