| 引用本文: | 杨元彪,唐乾玉.关于满秩素数的一些性质.[J].国防科技大学学报,1990,12(1):42-46.[点击复制] |
| Yang Yuanbiao,Tang Qianyu.Some Properties on Full-rank-primes[J].Journal of National University of Defense Technology,1990,12(1):42-46[点击复制] |
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| 关于满秩素数的一些性质 |
| 杨元彪, 唐乾玉 |
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(系统工程与应用数学系)
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| 摘要: |
| 本文给出了满秩素数的概念，素数P，满足 (P,10)=1，被称为满秩素数，若1/p的小数循环节长恰为(P-l)。本文证明了这类素数的一些有趣性质，例如，若P为满秩素数，则所有真分数k/p(1≤k≤p?1)的小数循环节的数字排列有一定的规律性。 |
| 关键词: 素数，满秩素数，循环节 |
| DOI： |
| 投稿日期：1988-01-01 |
| 基金项目: |
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| Some Properties on Full-rank-primes |
| Yang Yuanbiao, Tang Qianyu |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| In this paper，we have given the definition of full-rank-primes. A prime P supposing that (p,10)=1 is defined as a full-rank-prime，if the length of the decimal repetend of 1/P is exactly P-l，roughly speaking. In the paper several interesting theorems about the decimal repetend of l/P when P is prime，especially a full-rank-prime，have been proved. For example，if P is a full-rank-prime，then the digit permutation of all K/P，1≤k≤p?1，has certain properties. |
| Keywords: prime number,full-rank-prime,repetend |
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