Consecutive real quadratic fields with large class numbers

Giacomo Cherubini, Alessandro Fazzari, Andrew Granville +2

For a given positive integer $k$, we prove that there are at least $x^{1/2-o(1)}$ integers $d\le x$ such that the real quadratic fields $\mathbb Q(\sqrt{d+1}),\dots,\mathbb Q(\sqr…