# Hashtag

**Number Theory**Level 3

We have sets \(A_{n}\) and \(B_{n}\), \(n>1\)

Set \(A_{n}\) contains all natural numbers more than 1 that are divisible by some prime \(p\) that satisfies \(p\mid n\).

Set \(B_{n}\) contains all natural numbers more than 1 that are divisible by some prime \(p\) that satisfies \(p \not\mid n\).

Define \(N\) = set of integers greater than 1

Which of the following is true?