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Claim. J. Jiménez-Urroz, A note on a conjecture of Erdős and Rosenfeld, J. Number Theory 78 (1999), no. 1, 140--143, proves that for every positive integer $k$ there is a set $K$ of $k$ positive integers with $\lvert\bigcap_{n\in K}D(n)\rvert\ge3$, as the zbMATH review of the paper states it. With $k=3$ this answers [[problems/divisors/E0885/_index|Problem 885]] yes for $k=3$, and it raises the two shared values of Erdős and Rosenfeld's Proposition 3.2 (claim page) to three for every $k$. The page is dated by the September 1999 issue.

Covers. The instance $k=3$.

Depends on. No page of this wiki.

Acceptance. Refereed: Journal of Number Theory. The site labels the problem OPEN, so its commentary crediting the paper is not acceptance.