G. H. Hardy Quotes

Primes are the atoms of the arithmetic - the hydrogen and oxygen of the world of numbers

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.

Primes are the important main ingredient of numbers, for every number is either a prime or a product of primes.

Nature never uses prime numbers. But mathematicians do.

Mathematics is the queen of the sciences.

Mathematics is the queen of science, and arithmetic the queen of mathematics.

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.

For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.

There still remain three studies suitable for free man. Arithmetic is one of them.

Prime numbers are what is left when you have taken all the patterns away. I think prime numbers are like life. They are very logical but you could never work out the rules, even if you spent all your time thinking about them.

Math is one of my favorite subjects.

God made integers, all else is the work of man.

The greatest problem for mathematicians now is probably the Riemann Hypothesis.

Odd numbers are masculine while the even numbers are feminine.

I really love numbers.

I really like maths.

My interest in science started quite early. My earliest school recollection, from age 6, is actually of mathematics, realizing that one could fill an entire page with digits and never come to the largest possible number, so I saw what was meant by infinity.

I like science and mathematics. When I say mathematics, I don't mean algebra or math in that sense, but the mathematics of things.

I think math is exciting, you know.

I can see that, without being excited, mathematics can look pointless and cold.

... preliminary accounting, banking and surveying (known as arithmetic, algebra and geometry).

One would be hard put to find a set of whole numbers with a more fascinating history and more elegant properties surrounded by greater depths of mystery--and more totally useless--than the perfect numbers.

The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom.

You have this world of mathematics, which is very real and which contains all kinds of wonderful stuff. And then we also have the world of nature, which is real, too.

Number, the most excellent of all inventions.