English

A Note on the Bateman-Horn Conjecture

Number Theory 2019-06-11 v1

Abstract

We report the results of our empirical investigations on the Bateman-Horn conjecture. This conjecture, in its commonly known form, produces rather large deviations when the polynomials involved are not monic. We propose a modified version of the conjecture which empirically demonstrates remarkable accuracy even for modest values of primes.

Keywords

Cite

@article{arxiv.1906.03370,
  title  = {A Note on the Bateman-Horn Conjecture},
  author = {Weixiong Li},
  journal= {arXiv preprint arXiv:1906.03370},
  year   = {2019}
}
R2 v1 2026-06-23T09:47:35.413Z