期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1986
卷号：9
DOI：10.1155/S0161171286000315
出版社：Hindawi Publishing Corporation
摘要：Using A. Well's estimates the authors have given bounds for the largest prime P0 such that all primes p>P0 have sequences of quadratic residues of length m. For m≤8 the smallest prime having m consecutive quadratic residues is ≡3(mod4) and P0≡1(mod4). The reason for this phenomenon is investigated in this paper and the theory developed is used to successfully uncover analogous phenomena for rth power residues, r≥2, r even.
