Fibonacci数的标准分解式中素因数17的指数  

The Exponent of Factor 17 in the Standard Factorization of Fibonacci Number

作　　者：林伟芬[1] 尤利华[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《淮阴师范学院学报（自然科学版）》2013年第3期213-217,共5页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金青年基金项目(10901061)

摘　　要：研究了Fibonacci数Fn的标准分解式中素因数17的指数与下标n的关系,证明了Fibonacci数F n的标准分解式中素因数17的指数由下标n的分解式中因数9的指数与17的指数来确定.In this paper ,the relationship between the exponent of factor 17 in the standard factorization of Fi-bonacci Number Fn and its subscript n are studied ,and it is shown that the exponent of factor 17 in the standard factorization of Fibonacci Number Fn can be found out by the exponent of 9 and 17 in the factorization of the sub-script n.

关 键 词：FIBONACCI数 标准分解式 素因数 指数 同余 

分 类 号：O156[理学—数学]