English

On prime vs. prime power pairs

Number Theory 2016-10-31 v1

Abstract

In this paper, we consider pairs of a prime and a prime power with a fixed difference. We prove an average result on the distribution of such pairs. This is a partial improvement of the result of Bauer (1998).

Keywords

Cite

@article{arxiv.1610.09084,
  title  = {On prime vs. prime power pairs},
  author = {Yuta Suzuki},
  journal= {arXiv preprint arXiv:1610.09084},
  year   = {2016}
}

Comments

17 pages

R2 v1 2026-06-22T16:34:54.080Z