Fibonacci Divisors

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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