prime number - A prime number is a whole number greater than 1, whose only two whole-number factors are 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. As we proceed in the set of natural numbers N = {1, 2, 3, ...}, the primes become less and less frequent in general. However, there is no largest prime number. For every prime number p, there exists a prime number p' such that p' is greater than p. This was demonstrated in ancient times by the Greek mathematician Euclid.;
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