类型为$\mathbf{n^2+1}$、$\mathbf{n^2+2}$的无平方值对
Pairs of square-free values of the type $\mathbf{n^2+1}$, $\mathbf{n^2+2}$
摘要：
本文证明了存在无穷多个连续的$n^2+1$，$n^2+2$形式的无平方数.当$n$不超过给定的足够大的正整数时，我们还建立了这种无平方对的数目的渐近公式.
英文摘要：
In the present paper we show that there exist infinitely many consecutive square-free numbers of the form $n^2+1$, $n^2+2$. We also establish an asymptotic formula for the number of such square-free pairs when $n$ does not exceed given sufficiently large positive integer.
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。
