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Polynomial of prime is prime

Source: Moldova 2007 IMO-BMO TST III problem 2

March 24, 2007
algebrapolynomialsearchnumber theoryDiophantine equationnumber theory proposed

Problem Statement

Find all polynomials fāˆˆZ[X]f\in \mathbb{Z}[X] such that if pp is prime then f(p)f(p) is also prime.
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