Twin prime problem

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.

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