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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
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
被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
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
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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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