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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