This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes. Below are lists of notable types of prime numbers in alphabetical order, giving their respective first terms.

Note that 1 is neither prime nor composite. A list of the first 1000 prime numbers is also available.