摘要
奇完全数的存在性问题是一个著名的数论难题.文章证明了不被3和5同时整除的奇完全数相异素因子的个数不少于221个的结论的同时,也推导出奇完全数每个素因子的指数大于等于k-1,其中k为该奇完全数相异素因子的个数.
The existence of odd perfect numbers is a famous problem in number theory.In this study,it is proved that there are no less than 221 odd perfect prime factors which are not divisible by 3 and 5 at the same time,and it is deduced that the index of each odd perfect prime factor is greater than or equal to k-1,where k is the number of odd perfect prime factors.
作者
李妍玲
陈慧娇
吴晓玲
谭嘉欣
LI Yan-ling;CHEN Hui-jiao;WU Xiao-ling;TAN Jia-xin(College of Mathematics and Statistics,Hanshan Normal University,Chaozhou,Guangdong,521041)
出处
《韩山师范学院学报》
2022年第3期11-15,共5页
Journal of Hanshan Normal University
基金
2020年大学生创新创业训练计划项目(项目编号:202021).
关键词
奇完全数
素因子
指数的下界
相异素因子的个数
odd perfect number
prime factor
lower bound on the index
number of different prime factors
