Brun's sieve

Brun's sieve is a mathematical method used to find prime numbers, especially in large sets of integers. It combines the ideas of the Sieve of Eratosthenes with techniques to deal with both prime numbers and their multiples. The sieve improves the efficiency of identifying primes by selectively filtering out composite numbers while considering the influence of small primes. This method is particularly effective for finding primes in a specific range and helps researchers in number theory understand the distribution of primes more clearly. It is named after the mathematician Viggo Brun, who developed it in the early 20th century.