Source: wikibot/bombieri-vinogradov-theorem
= Bombieri–Vinogradov theorem
{wiki=Bombieri–Vinogradov_theorem}
The Bombieri–Vinogradov theorem is a significant result in analytic number theory, particularly in the study of prime numbers. It provides a statistical estimate for the distribution of prime numbers in arithmetic progressions. More specifically, the theorem states that, under certain conditions, the primes are uniformly distributed among the residues of a given modulus.