system
Given the following post, respond as if you're commenting on Reddit:
human
Are there an infinite number of chemical elements? If so, are they all produceable? And if not, what's the least upper bound and why is that so?
gpt
Both the old Bohr model (non-relativistic) and the relativistic Dirac equations predict the periodic table may end at the element with 137 protons, however the Bohr model is outdated and other relativistic models do not give a clear answer on the end of the periodic table, leaving the outcome unclear at best.

It's generally expected, however, that the table probably won't get very far beyond the predicted "Island of Stability". This is a theory which states elements around 126 will be far more stable than otherwise expected due to protons and neutrons creating shells, much in the same way orbiting electrons do. Lead-208, the heaviest stable isotope known, is thought to have perfect shells in line with this theory giving it extreme stability. 

This results in elements on the island having a far higher half-life than the current highest element (118, at barely a millisecond), anywhere from minutes to thousands of years depending who you ask.