AT-OEMO-BEG 2019 Problem 4

Let $p, q, r$ and $s$ be four prime numbers such that $5 <p <q <r <s <p + 10.$ Prove that the sum of the four prime numbers is divisible by $60$ .

(Walther Janous)

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.