Editing Bateman–Horn conjecture (section)

{{Short description|Conjecture in number theory}}
In [[number theory]], the '''Bateman–Horn conjecture''' is a statement concerning the frequency of [[prime number]]s among the values of a system of [[polynomial]]s, named after mathematicians [[Paul T. Bateman]] and [[Roger Horn|Roger A. Horn]] who proposed it in 1962. It provides a vast generalization of such conjectures as the [[First Hardy–Littlewood conjecture|Hardy and Littlewood conjecture]] on the density of [[twin prime]]s or their conjecture on primes of the form ''n''<sup>2</sup>&nbsp;+&nbsp;1; it is also a strengthening of [[Schinzel's hypothesis H|Schinzel's&nbsp;hypothesis&nbsp;H]].