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MathNet 2016-part-01 — 184 problems (EN–VI) Question 56

Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)

Question 56

Find all monic polynomials $f$ with integer coefficients satisfying the following condition:
There exists a positive integer $N$ such that for every prime $p \gt N$, $p$ divides $2(f(p))! + 1$.