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arXiv · 2004.09975

Pairs of square-free values of the type $\mathbf{n^2+1}$, $\mathbf{n^2+2}$

S. I. Dimitrov
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Abstract

In the present paper we show that there exist infinitely many consecutive square-free numbers of the form $n^2+1$, $n^2+2$. We also establish an asymptotic formula for the number of such square-free pairs when $n$ does not exceed given sufficiently large positive integer.

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BibTeXRIS

S. I. Dimitrov. 2020-04-21. Pairs of square-free values of the type $\mathbf{n^2+1}$, $\mathbf{n^2+2}$. https://arxiv.org/abs/2004.09975

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