On the search for elements beyond

Recently, IUPAC approved all elements up to Z = 118 as discovered. Search experiments for the heavier elements with Z = 119 and 120 have been performed in recent years, but have so far not led to their discovery. I will review some aspects associated with the study and identification of the heaviest known elements that are relevant for future search experiments for elements beyond Z = 118 and highlight pressing issues that should be addressed, both on the experimental as well as on the theory side, to allow for performing these future experiments under improved and better informed conditions