# 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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