%N Integers n having base 10 representation (Bm,...,B1,B0) such that the polynomial f(x)=B0+B1x+...+Bmx^m is irreducible over the ring of integers, 0<=Bi<=9
%F Integers in A000027 but not in A267509
%e 11 is a member as f(x)=B0+B1x=1+1x has no factorization other than the trivial one i.e. 1.(1+x) hence f(x) is irreducible over the ring of integers.
%e 114 is a member as f(x)=B0+B1x+B2x^2=4+1x+1x^2=4+x+x^2 is irreducible over the ring of integers.
%t okQ[n_] := If[n<10, !CompositeQ[n], !MatchQ[Factor[(id = IntegerDigits[n]). x^Range[Length[id]-1, 0, -1]][], Times|Power]]; Select[Range, okQ] (* _Jean-François Alcover_, Feb 01 2016 *)
%A _Abdul Gaffar Khan_, Jan 16 2016