可表为两个Lucas数之差的b-纯位数  

b-repdigits expressed as the difference between two Lucas numbers

作　　者：卢颜腾 杨鹏[1] LU Yanteng;YANG Peng(School of Science,University of Science and Technology Liaoning,Anshan 114051,China)

机构地区：[1]辽宁科技大学理学院,辽宁鞍山114051

出　　处：《高师理科学刊》2024年第11期1-5,共5页Journal of Science of Teachers＇College and University

基　　金：辽宁省科技厅自然科学项目(2022-MS-356)。

摘　　要：针对可表为两个Lucas数之差的b-纯位数问题,通过对数线性型给出一个较大的上界,再利用缩减方法将上界缩减为一个可计算的上界.通过Mathematica软件在这个可计算的上界范围内搜寻得到1<b<10时所有可表为两个Lucas数之差的b-纯位数.For the problem of b-repdigits that can be expressed as difference of two Lucas numbers,linear forms in logarithms are used to give a relatively large upper bound.Then,the reduction method is used to reduce the bound into a computable upper bound.The Mathematica software is used to search within this computable upper bound range to obtain allb-repdigits(1<b<10)that can be expressed as the difference between two Lucas numbers.

关 键 词：纯位数 LUCAS数 对数线性型 缩减方法 

分 类 号：O156.7[理学—数学]