Consecutive pure cubic fields with large class number

In this paper, we prove that for a given positive integer k, there are at least \(x^{1/3-o(1)}\) $x^{1/3-o(1)}$ integers \(d \le x\) $d\le x$ such that the consecutive pure cubic fields \({\mathbb {Q}}(\root 3 \of {d+1})\) $\mathbb{Q}(\sqrt[3]{d+1})$ , \(\cdots \) $\cdots$ , \({\mathbb {Q}}(\root 3 \of {d+k})\) $\mathbb{Q}(\sqrt[3]{d+k})$ have arbitrarily large class numbers.