| 尾数恰含k个零的正Fibonacci数 |
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| 引用本文： | 袁明豪. 尾数恰含k个零的正Fibonacci数[J]. 数学的实践与认识, 2008, 38(7) |
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| 作者姓名： | 袁明豪 |
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| 摘 要： | 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.
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| 关 键 词： | 正Fibonacci数 标准分解式 尾数 |
Positive Fibonacci Numbers with just k Zeroes in their Mantissa |
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| YUAN Ming-hao. Positive Fibonacci Numbers with just k Zeroes in their Mantissa[J]. Mathematics in Practice and Theory, 2008, 38(7) |
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| Authors: | YUAN Ming-hao |
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| Abstract: | According to the properties of the exponents of factor 2 and factor 5 in the standard factorization of positive Fibonacci numbers Fn,the characteristics of the subscript n in the positive Fibonacci numbers Fn with just k zeroes in their mantissa are discussed based on the Elementary Number Theory in this paper,and the conclusion that there exist positive Fibonacci numbers with just k zeroes in their mantissa for any positive integer k is also proved. |
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| Keywords: | positive Fibonacci numbers standard factorization mantissa |
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