The new strange pentaquarks observed by LHCb are very likely hadronic molecules consisting of cD and cD ∗. We discuss the experimental evidence supporting this conclusion, pointing out the similarities and differences with the Pc(4312), Pc(4440) and Pc(4457) pentaquarks in the nonstrange sector. The latter clearly are hadronic molecules consisting of ςcD and ςcD ∗. Following this line of thought, we predict three additional strange pentaquarks consisting of c′D and c′D ∗. The masses of these states are expected to be shifted upward by M( c′)-M( c)≈110 MeV with respect to the corresponding known strange pentaquarks.