| 关于恰有三个不同素因数的Ore数 |
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| 引用本文： | 王小梅.关于恰有三个不同素因数的Ore数[J].华南理工大学学报(自然科学版),1998,26(8):94-96. |
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| 作者姓名： | 王小梅 |
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| 作者单位： | 惠州大学 |
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| 摘 要： | 设ｎ是大于１的正整数，如果ｎ的所有约数之倒数和仍是正整数，则称ｎ是Ｏｒｅ数．本文证明了：如果ｎ是恰有三个不同素因数的Ｏｒｅ数，则ｎ必为偶数．上述结果解决了ＧｕｙＲＫ．的一个问题．
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| 关 键 词： | 约数 倒数和 Ore数 奇偶性 |
ON Ore's NUMBERS WITH THREE DISTINCT PRIME FACTORS |
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| Wang Xiaomei.ON Ore's NUMBERS WITH THREE DISTINCT PRIME FACTORS[J].Journal of South China University of Technology(Natural Science Edition),1998,26(8):94-96. |
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| Authors: | Wang Xiaomei |
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| Abstract: | Let n be a positive integer with n >1. If the reciprocal sum of all divisors of n is a positive integer, then n is called an Ore's number.In this paper it is proved that if n is an Ore's number with three distinct prime factors, then n must be even. The above_mentioned result has solved a problem posed by Guy R K. |
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