Fibonacci Divisors

Find the sum of all primes pp, such that pp divides upu_p, where upu_p is the pp-th Fibonacci number.

Details and assumptions

The Fibonacci sequence is defined by F1=1,F2=1F_1 = 1, F_2 = 1 and Fn+2=Fn+1+Fn F_{n+2} = F_{n+1} + F_{n} for n1 n \geq 1 .

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