A logarithmic inequality involving prime numbers

S. I. Dimitrov

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arXiv · 1911.08865

A logarithmic inequality involving prime numbers

S. I. Dimitrov

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Abstract

Assume that $N$ is a sufficiently large positive number. In this paper we show that for a small constant $\varepsilon>0$, 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 $p_1,\,p_2,\,p_3$.

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S. I. Dimitrov. 2019-11-20. A logarithmic inequality involving prime numbers. https://arxiv.org/abs/1911.08865

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