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2012f.00770 Matei, Vlad Arithmetical properties of the image of a polynomial with integer coefficients. Gaz. Mat. Seria A 30, No. 1-2, 8-13 (2012). 2012 Societatea de \c{S}tiin\c{t}e Matematice din Rom\^ania, Bucure\c{s}ti EN H40 F60 polynomials with integer coefficients prime divisors Summary: We present some results on the set of prime divisors of the numbers in the image of a polynomial with integer coefficients, and we look at the image of such polynomials restricted to the set of prime numbers.