Find the largest positive integer $n$ such that for each prime $p$ with $2<p<n$ the difference $n-p$ is also prime.
Problem
Source: 2022 Tournament of towns Spring A level Junior
Tags: number theory, Tournament of Towns
Source: 2022 Tournament of towns Spring A level Junior
Tags: number theory, Tournament of Towns
Find the largest positive integer $n$ such that for each prime $p$ with $2<p<n$ the difference $n-p$ is also prime.