具体数论：初始数与数的表示的奇妙性质
The concrete theory of numbers: initial numbers and wonderful properties of numbers repunit
摘要：
在这项工作中，初始数和代表数进行了研究。所有的数字都用十进制表示.研究了初始数的简单性问题。证明了数表示的有趣性质：$gcd(R_a, R_b) = R_{gcd(a,b)}$ ; $R_{ab}/(R_aR_b)$是整数的唯一条件是$gcd(a,b) = 1$，其中$a\geq1$，$b\geq1$是整数.利用一个素数的阶来研究数表示的除数.
英文摘要：
In this work initial numbers and repunit numbers have been studied. All numbers have been considered in a decimal notation. The problem of simplicity of initial numbers has been studied. Interesting properties of numbers repunit are proved: $gcd(R_a, R_b) = R_{gcd(a,b)}$; $R_{ab}/(R_aR_b)$ is an integer only if $gcd(a,b) = 1$, where $a\geq1$, $b\geq1$ are integers. Dividers of numbers repunit, are researched by a degree of prime number.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
