论文标题
pell或pell-lucas数字作为基本$ b $的两个repdigits的串联
Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$
论文作者
论文摘要
令$ b $为一个正整数，使得$ 2 \ leq b \ leq 10 $。在这项研究中，我们发现所有Pell或Pell-Lucas的数字是基本$ B $的两个重新汇率的串联。作为推论，可以表明，最大的佩尔或佩尔 - 卢卡数字可以作为基础$ b $的两个repdigits的串联表达，分别为$ p_ {11} = 5741 $和$ q_5 = 82 $。
Let $b$ be a positive integer such that $2 \leq b \leq 10$. In this study, we find all Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$. As a corollary, it is show that the largest Pell or Pell-Lucas numbers which can be expressible as a concatenations of two repdigits in base $b$ are $P_{11} = 5741$ and $Q_5 = 82$, respectively.
