@TeresaLisbon Are you well again ? Maybe, you can help me with this question : If a polynomial has strictly increasing positive integer coefficients (That is $a_n<a_{n-1}<\cdots a_0$) and the constant coefficient is a prime number. Must the polynomial then be irreducible over $\mathbb Z$ ? What about the decreasing case ? I think Kakeya - Eneström helps here.
