Number of Prime Numbers
There are infinitely many prime numbers. Another way of saying this is that the sequence
- 2, 3, 5, 7, 11, 13, ...
of prime numbers never ends. This statement is referred to as Euclid's theorem in honor of the ancient Greek mathematician Euclid, since the first known proof for this statement is attributed to him. Many more proofs of the infinitude of primes are known, including an analytical proof by Euler, Goldbach's proof based on Fermat numbers, Fürstenberg's proof using general topology, and Kummer's elegant proof.
Read more about this topic: Prime Number
Famous quotes containing the words number of, number, prime and/or numbers:
“A great number of the disappointments and mishaps of the troubled world are the direct result of literature and the allied arts. It is our belief that no human being who devotes his life and energy to the manufacture of fantasies can be anything but fundamentally inadequate”
—Christopher Hampton (b. 1946)
“Civilization is maintained by a very few people in a small number of places and we need only some bombs and a few prisons to blot it out altogether.”
—Cyril Connolly (1903–1974)
“... unless the actor is able to discourse most eloquently without opening his lips, he lacks the prime essential of a finished artist.”
—Julia Marlowe (1870–1950)
“The land cannot be cleansed of the blood that is shed therein, but by the blood of him that shed it.”
—Bible: Hebrew Numbers 35:33.