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f(x) = x5 + 5x4 + 5x3 + 5x2 + 1
g(x) = x5 + 5x4 + 3x3 - 5x2 -1
For the above two functions find the sum of all prime numbers p for which there exists a natural number 0 <= x < p such that both f(x) and g(x) are divisible by p.
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