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A prime sum involving Bernoulli numbers

History and Overview 2023-03-20 v2

Abstract

In this note, we propose simple summations for primes, which involve two finite nested sums and Bernoulli numbers. The summations can also be expressed in terms of Bernoulli polynomials.

Keywords

Cite

@article{arxiv.2303.07934,
  title  = {A prime sum involving Bernoulli numbers},
  author = {Jean-Christophe Pain},
  journal= {arXiv preprint arXiv:2303.07934},
  year   = {2023}
}
R2 v1 2026-06-28T09:16:34.226Z