[Repealthe17thAmendment]

Pontificates have been recorded since St. Peter in about 30 AD. There is no gap in the 600’s or any other time.

[SunkenCiv]

That’s why Otto needed Sylvester. ;^)

There is no single record with a continuous list of Popes that originated in 30 AD. The vast Vatican archive contains at least one document as old as the 5th century, but most of the archives are from the 11th and thereafter, and most of those originated since the 14th, inclusive.

https://en.wikipedia.org/wiki/Vatican_Apostolic_Archive#Uprisings,_revolts,_and_the_Western_Schism_(1085%E2%80%931415)

https://www.worldhistory.org/Donation_of_Constantine/