尾数恰含k个零的正Fibonacci数

Positive Fibonacci Numbers with just k Zeroes in their Mantissa

根据正Fibonacci数Fn的标准分解式中,因子2和因子5的指数的性质,利用初等数论的知识,讨论了尾数恰含k个零的正Fibonacci数Fn的下标n的特征,并证明了:对于任意大的正整数k,都存在着尾数恰含k个零的正Fibonacci数.

According to the properties of the exponents of factor 2 and factorization of positive Fibonacci numbers Fn, the characteristics of positive Fibonacci numbers Fn with just k zeroes in their mantissa are Elementary Number Theory in this paper, and the conclusion that there numbers with just k zeroes in their mantissa for any positive integer k is factor 5 in the standard the subscript n in the discussed based on the exist positive Fibonacci also proved.