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MathNet 2023-part-07 — 187 problems (EN–VI) Question 132

Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)

Question 132

Let
$$
P=\prod_{i=0}^{2016}\left(i^{3}-i-1\right)^{2}
$$
The remainder when $P$ is divided by the prime $2017$ is not zero. Compute this remainder.