A remark on large even integers of the form $p+P_3$

Runbo Li

A remark on large even integers of the form $p+P_3$

General Mathematics 2024-03-18 v1

Authors: Runbo Li

Abstract

Let $N$ denotes a sufficiently large even integer, $p$ denotes a prime and $P_{r}$ denotes an integer with at most $r$ prime factors. In this paper, we study the solutions of the equation $N-p=P_3$ and consider two special cases where $p$ is small, and $p,P_3$ are within short intervals.

Keywords

Goldbach-type problem large even integers short intervals prime factors

Cite

@article{arxiv.2403.09691,
  title  = {A remark on large even integers of the form $p+P_3$},
  author = {Runbo Li},
  journal= {arXiv preprint arXiv:2403.09691},
  year   = {2024}
}

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5 pages

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