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arXiv · 2011.11054

Consecutive Quadratic Residues And Quadratic Nonresidue Modulo $p$

N. A. Carella
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Abstract

Let $p$ be a large prime, and let $k\ll \log p$. A new proof of the existence of any pattern of $k$ consecutive quadratic residues and quadratic nonresidues is introduced in this note. Further, an application to the least quadratic nonresidues $n_p$ modulo $p$ shows that $n_p\ll (\log p)(\log \log p)$.

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N. A. Carella. 2020-11-17. Consecutive Quadratic Residues And Quadratic Nonresidue Modulo $p$. https://arxiv.org/abs/2011.11054

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