A favorite coin that actually should not exist Maxentius, as Caesar AE follis from Carthage Problem is - Maxentius was never Caesar under anyone! He usurped and declared himself Augustus in late 306, and Carthage was the only mint to assign any other title to him; first the meaningless "Princeps Invictus" then Caesar. They recognized him as Augustus around the end of 306 or early 307. The reasoning behind this is open to debate, but most suspect either they misunderstood his intentions, or else this is the earliest recorded instance of #NotMyAugustus
Theodosius was the last Roman emperor at least of the unified empire East and West. He split it between his two sons and the West fell to barbarians about a thousand years before the end of the Byzantines. The statement assumes that later rulers were in charge of a section but not the whole empire. This opinion even made it into coin books when Cohen listed coins of the West but omitted those of the East. Somewhere, you will find a reference to Constantine as the first Byzantine emperor. Artificial labels attached to ideas have to be understood but not worshiped. Who was the last Roman emperor? I suspect there is some guy somewhere alive today who thinks he is.
I'm not quite sure if this was meant to exist or not. A Philippicus hexagram struck with solidus dies. Currently for sale in Triton 24, it says none are listed in Coinarchives. Didn't see any in ACSearch either. One one hand, the rarity would suggest this is some kind of error and Sear does list it as extremely rare...on the other hand, he says 3 officinae are known. Hard to believe three different officinae would make the same mistake... So, should it exist? Next time I am bored, I might see if I can find a die match on a solidus.