The Sieve of Eratosthenes Algorithm

The sieve of Eratosthenes algorithm

The sieve of the Eratosthenes is a beautiful old mathematics algorithm dealing with finding prime numbers up to a defined limit. It works on a different type of algorithm. Let’s first write the algorithm in natural language. We should remember that this algorithm is used to find prime numbers in a range of numbers. For example, we can test how many primes are between 2 and 30. Usually, the end number is denoted by $n$; for simplicity, we can consider it to be an integer.