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Part of 2004 Iran MO (3rd Round)

Problems(1)

Polynomials that (m,n)=1 implies (p(m),p(n))=1

Source: Iranian National Olympiad (3rd Round) 2004

1/9/2009
Find all polynomials pāˆˆZ[x] p\in\mathbb Z[x] such that (m,n)\equal{}1\Rightarrow (p(m),p(n))\equal{}1
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