A logarithmic inequality involving prime numbers
Number Theory
2019-12-17 v5
Abstract
Assume that is a sufficiently large positive number. In this paper we show that for a small constant , the logarithmic inequality \begin{equation*} \big|p_1\log p_1+p_2\log p_2+p_3\log p_3-N\big|<\varepsilon \end{equation*} has a solution in prime numbers .
Keywords
Cite
@article{arxiv.1911.08865,
title = {A logarithmic inequality involving prime numbers},
author = {S. I. Dimitrov},
journal= {arXiv preprint arXiv:1911.08865},
year = {2019}
}