The prime number theorem states that: \[\text{The }n\text{-th prime}\approx n\ln n\] and this approximation gets better and better as \(n\rightarrow\infty\).

But how accurate is the prime number theorem for small values? Your mission is to find the difference between the exact value of the 3435-th prime and the value obtained using the prime number theorem. (it must be positive)

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