Does there exist a polynomial f(t) of degree < 4 such that /(2) = 3, /(3) = 5, /(5) = 7

Chapter 4, Problem 71

(choose chapter or problem)

Does there exist a polynomial f(t) of degree < 4 such that /(2) = 3, /(3) = 5, /(5) = 7, /(7) = 11, and /(ll) = 2? If so, how many such polynomials are there? Hint: Use Exercise 70.

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