# Twin prime problem

**Number Theory**Level 5

Determine the smallest odd integer \(n > 1\) such that \(2^n-1\) is divisible by both \(p\) and \(q\), where \(p,q\) is a pair of twin primes and \(p > 3\).

Note: \(p, q\) is a pair of twin primes if \(q = p+2\) and both \(p\) and \(q\) are prime numbers.