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题名: On the myth of an ancient Chinese theorem about primality
作者: Han, Qi1; Siu, Man-Keung2
刊名: TAIWANESE JOURNAL OF MATHEMATICS
出版日期: 2008-07-01
卷号: 12, 期号:4, 页码:941-949
关键词: Carmichael number ; Fermat's Little Theorem ; Li Shanlan
文章类型: Article
英文摘要: 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.
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Mathematics
研究领域[WOS]: Mathematics
收录类别: SCI
语种: 英语
WOS记录号: WOS:000257574700008
Citation statistics:
内容类型: 期刊论文
URI标识: http://ir.ihns.ac.cn/handle/311051/6559
Appears in Collections:科学技术史_世界科技史_期刊论文

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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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