| 亲和数的数值算法和数量估计 |
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| 引用本文： | 徐明毅.亲和数的数值算法和数量估计[J].华东交通大学学报,2014(4):54-58. |
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| 作者姓名： | 徐明毅 |
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| 作者单位： | 武汉大学水利水电学院,湖北武汉430072 |
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| 摘 要： | 总结了搜寻亲和数的分解算法和递推算法,计算出1 000亿内的亲和数3 261对,根据数值结果给出了在一定范围内亲和数的数量估计式,得出1018内的亲和数约为百万对。
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| 关 键 词： | 数论 素因数 亲和数 |
Numeric Algorithm and Magnitude Estimation of Amicable Numbers |
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| Xu Mingyi.Numeric Algorithm and Magnitude Estimation of Amicable Numbers[J].Journal of East China Jiaotong University,2014(4):54-58. |
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| Authors: | Xu Mingyi |
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| Institution: | Xu Mingyi (School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China) |
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| Abstract: | This paper proposes the decomposition algorithm and recursive algorithm to search amicable numbers. 3 261 pairs of amicable numbers are searched out within 100 billion. The numerical estimated expression of amicable numbers in a certain range is obtained according to numeric results. There are approximately one million amicable numbers in 1018 range. |
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| Keywords: | number theory prime factor amicable number |
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