关于恰有三个不同素因数的 Ore 数  

ON Ore's NUMBERS WITH THREE DISTINCT PRIME FACTORS

作　　者：王小梅[1] 

机构地区：[1]惠州大学

出　　处：《华南理工大学学报（自然科学版）》1998年第8期94-96,共3页Journal of South China University of Technology(Natural Science Edition)

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．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.

关 键 词：约数 倒数和 Ore数 奇偶性 

分 类 号：O156.1[理学—数学]