On the myth of an ancient Chinese theorem about primality | |
Han, Qi1; Siu, Man-Keung2 | |
2008-07-01 | |
发表期刊 | TAIWANESE JOURNAL OF MATHEMATICS
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卷号 | 12期号:4页码:941-949 |
文章类型 | Article |
摘要 | In the western world there is this myth that the ancient Chinese knew a special case of Fermat's Little Theorem and erroneously took it as a criterion for primality, namely, that n is a prime if and only if 2(n-1) - 1 is divisible by n. This article discusses how this myth might have come about, in particular tells the story of an investigation on number theory by Li Shanlan in the mid 19(th) century. The discussion touches upon the social history of the incident in connection with the polarized attitude different foreigners took towards Chinese mathematics at the time. |
关键词 | Carmichael Number Fermat's Little Theorem Li Shanlan |
WOS标题词 | Science & Technology ; Physical Sciences |
收录类别 | SCI |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000257574700008 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ihns.ac.cn/handle/311051/6559 |
专题 | 世界科技史 |
作者单位 | 1.Chinese Acad Sci, Inst Hist Nat Sci, Beijing, Peoples R China 2.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Han, Qi,Siu, Man-Keung. On the myth of an ancient Chinese theorem about primality[J]. TAIWANESE JOURNAL OF MATHEMATICS,2008,12(4):941-949. |
APA | Han, Qi,&Siu, Man-Keung.(2008).On the myth of an ancient Chinese theorem about primality.TAIWANESE JOURNAL OF MATHEMATICS,12(4),941-949. |
MLA | Han, Qi,et al."On the myth of an ancient Chinese theorem about primality".TAIWANESE JOURNAL OF MATHEMATICS 12.4(2008):941-949. |
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