English

Congruence properties of prime sums and Bernoulli polynomials

History and Overview 2025-02-10 v1 Number Theory

Abstract

In this article, we derive a congruence property of particular sum rules involving prime numbers. The resulting expression involves Bernoulli numbers and polynomials, for which we obtain, as a consequence, a general congruence relation as well.

Keywords

Cite

@article{arxiv.2502.04731,
  title  = {Congruence properties of prime sums and Bernoulli polynomials},
  author = {Jean-Christophe Pain},
  journal= {arXiv preprint arXiv:2502.04731},
  year   = {2025}
}