It is known that f (x) is an increasing function defined on (0, + ∞). When n ∈ n *, f (n) ∈ n *, f [f (n)] = 3N, then f (1) + F (2)=______ ．

It is known that f (x) is an increasing function defined on (0, + ∞). When n ∈ n *, f (n) ∈ n *, f [f (n)] = 3N, then f (1) + F (2)=______ ．

If f (1) = 1, then f (f (1)) = f (1) = 1, which contradicts the condition f (f (n)) = 3N, then f (1)) = f (3) = 3, then f (3)) = f (3) = 9, which contradicts the former formula, then f (1)) = f (n) = 3

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