| 具有5个不同素因子的Nicol数数数 |
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| 引用本文： | 金巧笑,汤敏.具有5个不同素因子的Nicol数数数[J].纯粹数学与应用数学,2011,27(6):825-828. |
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| 作者姓名： | 金巧笑 汤敏 |
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| 作者单位： | 安徽师范大学数学系,安徽芜湖,241003 |
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| 摘 要： | 通过计算机辅助,利用元素的阶、欧拉函数、因子和函数等数论函数的性质,继续研究了具有5个不同素因子的Nicol数,证明了具有5个不同素因子的Nicol数只能是3-Nicol数和4-Nicol数.
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| 关 键 词： | Nicol数 t-Nicol数 欧拉函数 |
The Nicol numbers which have five different prime divisors |
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| JIN Qiao-xiao,TANG Min.The Nicol numbers which have five different prime divisors[J].Pure and Applied Mathematics,2011,27(6):825-828. |
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| Authors: | JIN Qiao-xiao TANG Min |
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| Institution: | (Department of Mathematics,Anhui Normal University,Wuhu 241003,China) |
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| Abstract: | Aided by computer,Using the properties of of arithmetical functions like that order of elements,the Euler function,factor and function,we studied the Nicol number with 5 different prime factors.We show that the Nicol numbers which have five different prime divisors must be 3-Nicol numbers or 4-Nicol numbers. |
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| Keywords: | Nicol number t-Nicol number Euler’s totient function |
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