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arXiv · 1702.04717

A quaternary diophantine inequality by prime numbers of a special type

S. I. Dimitrov
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Abstract

Let $1 0$ and a small constant $\vartheta>0$, the inequality \begin{equation*} |p_1^c+p_2^c+p_3^c+p_4^c-N|<\vartheta \end{equation*} has a solution in prime numbers $p_1,\,p_2,\,p_3,\,p_4$ such that, for each $i\in\{1,2,3,4\}$, $p_i+2$ has at most $32$ prime factors.

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S. I. Dimitrov. 2017-02-15. A quaternary diophantine inequality by prime numbers of a special type. https://arxiv.org/abs/1702.04717

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