摘要
本文研究了清末数学家方士(钅荣)的《数根丛草》。在李善兰素数论的基础上,方士(钅荣)在1896年完成的《数根丛草》中提出了20种判别素数的方法,不少具有独创性,其中最重要的是威尔逊(Wilson)定理,他和德国数学家亥尔维茨(A. Hurwitz)同一年将该定理应用于素数判别,并且早于记载在迪克逊(L. E. Dickson)《数论史》中的一些西方数学家。《数根丛草》还改进了依据素数定义的判别方法和李善兰《考数根法》中的方法。
This paper deals with Fang Shirong's theory of prime numbers that has been hitherto ignored. In his Shu Gen Cong Cao, Fang gave 20 methods on the basis of Li Shanlan's work, obtained Wilson's theorem in the same year as the German mathematician A. Hurwitz did and was earlier than some western mathematicians mentioned in L. E. Dickson's History of Theory of Numbers, and improved, the methods used by Western mathematicians and by Li Shanlan in his Kao Shu Gen Fa (Methods of Exploring Primality).
出处
《自然科学史研究》
CSCD
1992年第2期127-138,共12页
Studies in The History of Natural Sciences
关键词
清代
数根
素数
判别
Fang Shirong, prime numbers, tests for primality
