Bateman–Horn conjecture

The Bateman–Horn conjecture is a hypothesis in number theory concerning the distribution of prime numbers in certain arithmetic progressions. It was proposed by the mathematicians Paul T. Bateman and Benjamin M. Horn in the 1960s. The conjecture states that for a given set of linear polynomials, the number of primes produced by these polynomials, under certain conditions, can be predicted based on the properties of the coefficients and the values at which these polynomials are evaluated.