The discussion revolves around the irreducibility of the polynomial (x-a1)(x-a2)....(x-an)+1 in Z[x], where a1, a2, ..., an are distinct odd integers. Participants are examining the validity of the original statement regarding the polynomial's properties.
The discussion is active, with participants exploring the claim's validity. There is a suggestion that the polynomial may not be irreducible, and counterexamples are being sought to illustrate this point.
Participants are focused on the specific case of distinct odd integers and the implications of this choice on the polynomial's irreducibility. There is an underlying assumption that the original statement may not hold true, prompting further investigation.
sayan2009 said:give anr coutrexmple