论文标题
大型Zsigmondy Primes
Large Zsigmondy Primes
论文作者
论文摘要
如果$ a> b $和$ n> 1 $是正整数，而$ a $和$ b $是相对质量的整数，那么大的zsigmondy prime（a，a，b，n）$是一个prime $ p $，使得$ p \，| \ | \，a^n-b^n $ but \，a^n -b^n $或$ p> n + 1 $。我们对整个整数$（a，b，n）$进行分类，不存在大型Zsigmondy Prime。
If $a>b$ and $n>1$ are positive integers and $a$ and $b$ are relatively prime integers, then a large Zsigmondy prime for $(a,b,n)$ is a prime $p$ such that $p \,|\, a^n-b^n$ but $p \,\nmid \, a^m-b^m$ for $1 \leq m < n$ and either $p^2 \, | \, a^n - b^n$ or $ p > n + 1$. We classify all the triples of integers $(a, b, n)$ for which no large Zsigmondy prime exists.
