We use some classical estimates for polynomial roots to provide several irreducibility criteria for polynomials with integer coefficients that have one sufficiently large coefficient and take a prime value.

Keywords:

Estimates for polynomial roots, irreducible polynomials Estimates for polynomial roots, irreducible polynomials

MSC Classifications:

11C08, 11R09 show english descriptions Polynomials [See also 13F20]
Polynomials (irreducibility, etc.) 11C08 - Polynomials [See also 13F20]
11R09 - Polynomials (irreducibility, etc.)

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