The papacy, or the office of Pope, derives directly from the primacy of Saint Peter among the Apostles and the leadership for which Christ designated him when he established his Church.
The authoriy given by Christ to Saint Peter and to his successors, the Popes, is called the Primacy of Peter. While the role of the papacy has evolved through the centuries, it is the Pope, the Vicar of Christ, who has the final authority to resolve and clarify matters of faith and morals, and it is the Pope who helps preserve the unity of the Church.
- The Didache Bible
If Saint Peter was the first Pope, who succeeded him?
Scripture says nothing about it. Historical sources and the tradition of the Church provide the names of all the successors of Saint Peter even to the present day.
The immediate successor of Saint Peter was Saint Linus, who may be the same person from whom Saint Paul sent greetings (cf. 2 Tm 4:21). "The Roman Pontiff, as the successor of Peter, is the perpetual and visible principle and foundation of unity of both the bishops and of the faithful" (Lumen Gentium 23).
Peter spent the last years of his life in Rome, where he helped to establish the Christian community and served as its bishop, and where he was martyred about AD 67.
While Scripture does not mention a successor to Saint Peter, we know of the men who succeeded him as Bishop of Rome through history and tradition.
The present Bishop of Rome, Pope Francis, is the 265th successor of Saint Peter, and he traces his authority directly back to Saint Peter. "In virture of his office, that is as Vicar of Christ and pastor of the whole Church, the Roman Pontiff has full, supreme and universal power over the Church.
And he is always free to exercise this power" (Lumen Gentium 22).
-The Didache Bible