MathNet 2015-part-04 — 191 problems (EN–VI) Question 123

Let $n \in \mathbb{N}$, $n \ge 4$. Determine the sets $A = \{a_1, a_2, \dots, a_n\} \subset \mathbb{N}$ that contain $2015$ and for which $|a_i - a_j|$ is a prime, for all distinct $i, j \in \{1, 2, \dots, n\}$.