English

Additive Representations of Natural Numbers

Number Theory 2020-11-12 v3

Abstract

Every natural number greater than two may be written as the sum of a prime and a square-free number. We establish several generalisations of this, by placing divisibility conditions on the square-free number.

Keywords

Cite

@article{arxiv.2003.08083,
  title  = {Additive Representations of Natural Numbers},
  author = {Forrest J. Francis and Ethan S. Lee},
  journal= {arXiv preprint arXiv:2003.08083},
  year   = {2020}
}

Comments

8 pages, feedback welcome, 3rd version

R2 v1 2026-06-23T14:18:20.321Z