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Consecutive Quadratic Residues And Quadratic Nonresidue Modulo $p$

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 نشر من قبل N. A. Carella
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف N. A. Carella




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Let $p$ be a large prime, and let $kll log p$. 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 $n_pll (log p)(log log p)$.



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