| 奇数的拆分循环及应用 |
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| 引用本文： | 吴金钗.奇数的拆分循环及应用[J].华侨大学学报(自然科学版),2021,0(5):701-708. |
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| 作者姓名： | 吴金钗 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 摘 要： | 因Mersenne数(Mp)和Fermat数(Fn)都是二进制形式的数,故采用二进制数研究Mp,Fn的性质,导出奇数的拆分循环概念和相关理论.结果表明:这套理论可用于分析大数的性质及分解,并具有一定的普遍性和通用性.
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| 关 键 词： | Mersenne数 Fermat数 奇数和式拆分与差式拆分 素数的拆分循环 |
Odd Number Splitting Cycle and Its Application |
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| WU Jincai.Odd Number Splitting Cycle and Its Application[J].Journal of Huaqiao University(Natural Science),2021,0(5):701-708. |
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| Authors: | WU Jincai |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | Because both Mersenne numbers(Mp)and Fermat numbers(Fn)are numbers in binary form, binary numbers were used to study the properties of Mp, Fn. The concept of odd number splitting cycles and related theories are derived. The results show that these theories can be used to analyze the properties of large numbers and their decomposition, and possess a certain universality and versatility. |
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| Keywords: | Mersenne numbers Fermat numbers odd number sum splitting and difference splitting prime number splitting cycle |
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