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arXiv · 1910.04531

On an equation with prime numbers close to squares

S. I. Dimitrov
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Abstract

Let $[\, \cdot\,]$ be the floor function. In this paper, we show that when $1<c<37/36$, then every sufficiently large positive integer $N$ can be represented in the form \begin{equation*} N=[p^c_1]+[p^c_2]+[p^c_3]\,, \end{equation*} where $p_1,p_2,p_3$ are primes close to squares.

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S. I. Dimitrov. 2019-10-10. On an equation with prime numbers close to squares. https://arxiv.org/abs/1910.04531

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