摘要
目的寻找构造不能被3整除的指数完全数的方法.方法初等数论的方法.结果指出了R.K.盖伊主编的《数论中未解决的问题》中一个错误的指数完全数,并且纠正了这个错误.利用初等数论的整除理论,给出了其中2个指数完全数的构造方法.结论提出了7个引理,通过这些引理证明了不能被3整除的指数完全数的一个必要条件.
Aim the construction method of exponentially perfect numbers not divisible by 3 is searched.Method method of elementary number theory.Result a incorrect exponentially perfect number is pointed out in Unsolved Problems in Number Theory by Richard K.Guy,and this err is rectified.Using the divisible theory of elementary number theory,the construction methods of two exponentially perfect numbers is given.Conclusion seven lemmas are posed,a necessary condition of exponentially perfect numbers not divisible by 3 is proved by means of these lemmas.
出处
《商洛学院学报》
2007年第2期14-17,共4页
Journal of Shangluo University
关键词
指数因子
指数完全数
不能被3整除的指数完全数
exponential factor, exponentially perfect number, exponentially numbers not divisible by 3
