English

Several new relations for the $n^{th}$ prime number

Number Theory 2011-08-16 v2

Abstract

We arrive at some new relations for the prime number PnP_n, based on the logarithmic and absolute-value properties of the function π(x)\pi(x).

Keywords

Cite

@article{arxiv.1108.2107,
  title  = {Several new relations for the $n^{th}$ prime number},
  author = {Boris B. Benyaminov},
  journal= {arXiv preprint arXiv:1108.2107},
  year   = {2011}
}

Comments

6 pages. Withdrawn by author due to a problem with a preceding paper on which the results here are based. Section three in particular is affected

R2 v1 2026-06-21T18:48:39.812Z