English

Prime Sums

Number Theory 2021-11-05 v1

Abstract

We study the properties of certain graphs involving the sums of primes. Their structure largely turns out to relate to the distribution of prime gaps and can be roughly seen in Cram\'er's model as well. We also discuss generalizations to the Gaussian integers.

Keywords

Cite

@article{arxiv.2111.02795,
  title  = {Prime Sums},
  author = {Anupam Datta and Nir Elber and Raymond Feng and David Lowry-Duda and Henry Xie},
  journal= {arXiv preprint arXiv:2111.02795},
  year   = {2021}
}

Comments

Preliminary version. The authors expect to add moderate modifications to the style and content. 18 pages, 11 figures

R2 v1 2026-06-24T07:25:57.519Z