Which JSF versions are required by PrimeFaces? I am interested in:
Any JSF 2.x version is a required dependency for Primefaces.
Additionally, Primefaces 4.0 and above supports the new JSF 2.2 version as well whereas Primefaces 3.5 does not.
So, if you intend to use a JSF 2.2 feature, consider using Primefaces 4.0 since it will support all three i.e. 2.0, 2.1 and 2.2 otherwise you're good to go with version 3.5.
These details are already mentioned in Section 2.2 - Dependencies
of the Primefaces User Guide.