Irreducibility of Littlewood polynomials of special degrees

Let f be sampled uniformly at random from the set of degree n polynomials whose coefficients lie in {± 1}. A folklore conjecture, known to hold under GRH, states that the probability that f is irreducible tends to 1 as n goes to infinity. We prove unconditionally that lim sup_n →∞ℙ(f is irreducible) = 1.