Inspired by Steven Yuan

Algebra Level 5

Consider all polynomials f(x)f(x) with integer coefficients such that f(1)=5,f(2)=8,f(3)=13.f(1) = 5, \quad f(2) = 8, \quad f(3) = 13. What is the minimum possible positive value of f(4)? f(4) ?


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