We show that there exist infinitely many consecutive square-free numbers of the form n² + 1, n² + 2. We also establish an asymptotic formula for the number of such square-free pairs when n does not exceed given sufficiently large positive number.

中文翻译：

---

n2 + 1, n2 + 2 类型的无平方值对

我们证明存在无限多个形式为n ² + 1, n ² + 2 的连续无平方数。当n不超过给定的足够大的正数时，我们还为此类无平方对的数量建立了渐近公式.