The Sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to any given limit. The algorithm does so by iteratively marking as composite the multiples of each prime, starting with the multiples of

Eratosthenes was a brilliant and well-known mathematician in history. * He devised the sieve analogy that he was able to use to separate prime numbers from composite numbers. ^ The importance of prime numbers is discussed as being the foundation