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MathNet 2017-part-07 — 172 problems (EN–VI) Question 3

Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)

Question 3

A polynomial $P$ of degree $2015$ satisfies the equation $P(n)=\frac{1}{n^{2}}$ for $n=1,2, \ldots, 2016$. Find $\lfloor 2017 P(2017)\rfloor$.