English

An explicit upper bound for the first $k$-Ramanujan prime

Number Theory 2015-04-22 v1

Abstract

In this paper we establish an explicit upper bound for the first kk-Ramanujan prime R1(k)R_1^{(k)} by using a recent result concerning the existence of prime numbers in small intervals.

Keywords

Cite

@article{arxiv.1504.05485,
  title  = {An explicit upper bound for the first $k$-Ramanujan prime},
  author = {Christian Axler and Thomas Leßmann},
  journal= {arXiv preprint arXiv:1504.05485},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-06-22T09:19:54.588Z