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Prime Fibonacci Sequence

Description

In the fibonacci sequence every number is the sum of the two preceding ones:
\(1, 1, 2, 3, 5, 8, 13, 21, 34...\)

The sequence \(F_n\) of fibonacci numbers is defined as:

\(F_n = F_{n-1} + F_{n-2}\)


Question

Find the sum of all the prime values in the fibonacci sequence, where \(F_n < 1,000,000\)


Find the sum of all the prime values in the fibonacci sequence, where \(F_n < 1,000,000\)