Question 37
Let $p$, $q$, $r$ and $s$ be prime numbers satisfying
$$
5 \lt p \lt q \lt r \lt s \lt p + 10.
$$
Prove that the sum of these four prime numbers is divisible by 60.
$$
5 \lt p \lt q \lt r \lt s \lt p + 10.
$$
Prove that the sum of these four prime numbers is divisible by 60.