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

Consecutive Quadratic Residues And Quadratic Nonresidue Modulo $p$