Cyprian
About the mid 3rd century, many of the North African bishop convened in a council to support a doctrine that the bishop of Rome opposed, among other people. In that context, Cyprian denied that there's any Pope:
"For neither does any of us set himself up as a bishop of bishops, nor by tyrannical terror does any compel his colleague to the necessity of obedience; since every bishop, according to the allowance of his liberty and power, has his own proper right of judgment, and can no more be judged by another than he himself can judge another. But let us all wait for the judgment of our Lord Jesus Christ, who is the only one that has the power both of preferring us in the government of His Church, and of judging us in our conduct there." - The Seventh Council of Carthage.
In regards to his view of the primacy of Peter, note that he explains that the primacy is not jurisdictional it is symbolic and chronological:
"The Lord speaks to Peter, saying, 'I say unto thee, that thou art Peter; and upon this rock I will build my Church, and the gates of hell shall not prevail against it. And I will give unto thee the keys of the kingdom of heaven; and whatsoever thou shalt bind on earth shall be bound also in heaven, and whatsoever thou shalt loose on earth shall be loosed in heaven.' And again to the same He says, after His resurrection, 'Feed my sheep.' And although to all the apostles, after His resurrection, He gives an equal power, and says, 'As the Father hath sent me, even so send I you: Receive ye the Holy Ghost: Whose soever sins ye remit, they shall be remitted unto him; and whose soever sins ye retain, they shall be retained;' yet, that He might set forth unity, He arranged by His authority the origin of that unity, as beginning from one. Assuredly the rest of the apostles were also the same as was Peter, endowed with a like partnership both of honour and power; but the beginning proceeds from unity." (On the Unity of the Church, 4)
Cyprian viewed every bishop as successors of Peter, and that all of them possess the keys and having the words of Matthew 16 applied to them:
"Our Lord, whose precepts and admonitions we ought to observe, describing the honour of a bishop and the order of His Church, speaks in the Gospel, and says to Peter: 'I say unto thee, That thou art Peter, and upon this rock will I build my Church; and the gates of hell shall not prevail against it. And I will give unto thee the keys of the kingdom of heaven: and whatsoever thou shalt bind on earth shall be bound in heaven: and whatsoever thou shall loose on earth shall be loosed in heaven.' Thence, through the changes of times and successions, the ordering of bishops and the plan of the Church flow onwards; so that the Church is founded upon the bishops, and every act of the Church is controlled by these same rulers." (Epistle 26:1)