Two Classes of Irreducible Polynomials in Rational Field

Let Q be the rational field, about the irreducibility of polynomials in Q, Schur has proposed a famous conjecture: If a1,a2,…,an are different integers, and m>1, thenf(x)=∏ ni=1(x-ai) 2m +1is irreducible in Q. Inspired by Schur conjecture, two classes of irreducible polynomials in Q were constructed by elementary method.