Irenaeus,
“But since it would be too long to enumerate in such a volume as this the succession of all the churches, we shall confound all those who, in whatever manner, whether through self-satisfaction or vainglory, or through blindness and wicked opinion, assemble other than where it is proper, by pointing out here the successions of the bishops of the greatest and most ancient church known to all, founded and organized at Rome by the two most glorious apostles. Peter and Paul, that church which has the tradition and the faith which comes down to us after having been announced to men by the apostles. With that church, because of its superior origin, all the churches must agree, that is, all the faithful in the whole world, and it is in her that the faithful everywhere have maintained the apostolic tradition” (Against Heresies 3:3:2 [inter A.D. 180-190]).
Here is another quote from Irenaeus,
“The blessed apostles, then having founded and built the Church (in Rome), committed into the hands of Linus the office of the episcopate…To him succeeded Anacletus; and after him, in the third place from the apostles, Clement was allotted the bishopric…In the time of this Clement, no small dissension having occurred among the brethern at Corinth, the Church in Rome despatched a most powerful letter to the Corinthians…To this Clement there succeeded Evaristus. Alexander followed Evaristus; then…Sixtus (the list continues)… In this order, and by this succession, the ecclesiastical tradition from the apostles, and the preaching of the turth, have come down to us.” [Against Heresies III, 3, 3]