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arXiv · 1809.04591

On a Diophantine equation with five prime variables

Jinjiang Li·Min Zhang
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Abstract

Let $[x]$ denote the integral part of the real number $x$, and $N$ be a sufficiently large integer. In this paper, it is proved that, for $1<c<\frac{4109054}{1999527}, c\not=2$, the Diophantine equation $N=[p_1^c]+[p_2^c]+[p_3^c]+[p_4^c]+[p_5^c]$ is solvable in prime variables $p_1,p_2,p_3,p_4,p_5$.

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Jinjiang Li, Min Zhang. 2018-09-12. On a Diophantine equation with five prime variables. https://arxiv.org/abs/1809.04591

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