A Note on the Andrica Conjecture

Marek Wolf

A Note on the Andrica Conjecture

Number Theory 2010-10-20 v1

Authors: Marek Wolf

Abstract

We derive heuristically the approximate formula for the difference $\sqrt{p_{n+1}} - \sqrt{p_n}$ , where $p_n$ is the n-th prime. We find perfect agreement between this formula and the available data from the list of maximal gaps between consecutive primes.

Keywords

prime numbers prime number theory prime number conjectures

Cite

@article{arxiv.1010.3945,
  title  = {A Note on the Andrica Conjecture},
  author = {Marek Wolf},
  journal= {arXiv preprint arXiv:1010.3945},
  year   = {2010}
}

Comments

8 pages, 2 figures

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