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Find the sum of all primes $p$, such that $p$ divides $u_p$, where $u_p$ is the $p$-th Fibonacci number.

Details and assumptions

The Fibonacci sequence is defined by $F_1 = 1, F_2 = 1$ and $F_{n+2} = F_{n+1} + F_{n}$ for $n \geq 1$.

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