摘要
根据Fibonacci数列的定义,利用初等数论的知识和数学归纳法,讨论了正Fibonacci数Fn的标准分解式中因子5的指数与下标n的关系,得到下列结论:正Fibonacci数Fn的标准分解式中因子5的指数,与下标n的标准分解式中因子5的指数一致.
The relation between the exponent of factor 5 in the standard factorization of positive Fibonacce number Fn and the subscript n is discussed through the defintion of Fibonacci sequence, the elementary number theory and mathematical induction. Then the following conclusion is obtained： the exponent of factor 5 in the standard factorization of positive Fibonacci number Fn is identical with the exponent of factor 5 in the standard factorization of the subscript n.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第7期166-170,共5页
Mathematics in Practice and Theory
