论文标题
$ cx^2 $的广义默森纳号
Generalized Mersenne Numbers of the form $cx^2$
论文作者
论文摘要
通用的Mersenne号码定义为$ M_ {P，N} = P^n -P + 1 $，其中$ P $是任何Prime，而$ N $是任何正整数。在这里，我们证明，对于每对$（c，p）$，带有$ c \ geq 1 $一个整数，最多有一个$ m_ {p，n} $的$ cx^2 $的$ m_ {p，n} $，有一些例外。
Generalized Mersenne numbers are defined as $M_{p,n} = p^n - p + 1$, where $p$ is any prime and $n$ is any positive integer. Here, we prove that for each pair $(c, p)$ with $c\geq 1$ an integer, there is at most one $M_{p, n}$ of the form $cx^2$ with a few exceptions.
