摘要
Fibonacci数列的模数列是周期数列,并且是纯周期数列,但是其周期是与模数m有关的.本文根据周期的定义,利用初等数论的知识,给出并证明了下列结果:当m分别为小于20的素数2,3,5,7,11,13,17,19时,Fibonacci数列{Fn}的模数列{Fn(mod m)}的周期分别为3,8,20,16,10,28,36,18.
Objective.The period of modular sequence of Fibonacci sequence. Methods：The definition of the period and the elementary number theory. Results ＆ conclusion：The period of the modular sequence {Fn（mod m）} of Fibonacci Sequence {Fn} proves to be 3,8,20,16,10,28,36,18, respectively, for the case of the prime numbers being 2,3,5,7,11,13,17,19.
出处
《黄冈师范学院学报》
2007年第3期1-3,共3页
Journal of Huanggang Normal University
