Exponent of Odd Prime Factor in Standard Factorization of Fibonacci Number

The relationship between the exponent of odd prime factor p in the standard factorization of Fibonacci number Fn and its subscript n is presented in this paper.It shows that the exponent of odd prime factor p in the standard factorization of Fibonacci number Fn can be determined by the exponent of d(p) and p in the factorization of the subscript n,where d(p)=min{w:p|Fw}.The relationship between d(p) and p is given in this paper,and an open problem on the exponent of odd prime factor p in the standard factorization of Fibonacci number Fd(p) is also proposed.