| 费马数与原根的关系 |
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| 引用本文： | 管训贵.费马数与原根的关系[J].西安文理学院学报,2010,13(2):23-24. |
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| 作者姓名： | 管训贵 |
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| 作者单位： | 泰州师范高等专科学校数理系,江苏泰州225300 |
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| 基金项目： | 泰州师范高等专科学校重点课题资助项目 |
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| 摘 要： | 运用原根与平方非剩余的一些简单结果,给出了费马数是素数的一个充要条件,建立了费马数与原根的关系,并得到了一个推论.
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| 关 键 词： | 费马数 素数 原根 平方非剩余 |
The Relationship between Fermat Numbers and Primitive Roots |
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| GUAN Xun-gui.The Relationship between Fermat Numbers and Primitive Roots[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2010,13(2):23-24. |
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| Authors: | GUAN Xun-gui |
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| Institution: | GUAN Xun-gui ( Department of Mathematics and-Physics, Taizhou Normal College, Taizhou 225300, China) |
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| Abstract: | In this paper, we give a sufficient and necessary condition of the proposition that theFermat humbers are prime by using the simple result of primitive root and quadratic non - residue. The Relationship between Fermat numbers and primitive roots is established. We also obtain aeorollary. |
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| Keywords: | Fermat numbers prime primitive roots quadratic non - residue sufficient and necessary condition |
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