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IR-MO 2004 Problem 30

    Find all polynomials p∈Z[x]p\in\mathbb Z[x] such that (m,n)=1⇒(p(m),p(n))=1(m,n)=1\Rightarrow (p(m),p(n))=1

    Dataset text AI-MO AoPS. Quoted with source.

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