The traditional list of popes starts out like this:
1. St. Peter (32-67)
2. St. Linus (67-76)
3. St. Anacletus (Cletus) (76-88)
4. St. Clement I (88-97)
5. St. Evaristus (97-105)
However, we know from a more reliable source that this is incorrect. Here is where the "papacy" actually begins:
3Give my greetings to Priscilla and Aquila. They have not only served Christ Jesus together with me, 4but they have even risked their lives for me. I am grateful for them and so are all the Gentile churches. 5Greet the church that meets in their home (Rom 16:3-5).
As you can plainly see, the original "bishops" of Rome were Pope Aquila and Popessa Priscilla. They headed the 1C church of Rome.
Any papal claimant who can't trace his succession back to Aquila and Priscilla is an Antipope.