Papal primacy among the bishops is clear from the scripture as I show below. Papal infallibility is a finer doctrine, that says that in some extreme circumstance the Pope can overrule even the bishops in council. That development of doctrine came after the Holy Scripture was written by the Catohlic Church. It was proclaimed in the first Vatican Council in 19c. It could be inferred from the second quote, of Luke 22, where St. Peter is said to have a special prayer of Christ to not fail in faith and confirm his fellow bishops.
[15] Jesus saith to them: But whom do you say that I am? [16] Simon Peter answered and said: Thou art Christ, the Son of the living God. [17] And Jesus answering, said to him: Blessed art thou, Simon Bar-Jona: because flesh and blood hath not revealed it to thee, but my Father who is in heaven. [18] And I say to thee: That thou art Peter; and upon this rock I will build my church, and the gates of hell shall not prevail against it. [19] And I will give to thee the keys of the kingdom of heaven. And whatsoever thou shalt bind upon earth, it shall be bound also in heaven: and whatsoever thou shalt loose upon earth, it shall be loosed also in heaven. (Matthew 16)[28] And you are they who have continued with me in my temptations: [29] And I dispose to you, as my Father hath disposed to me, a kingdom; [30] That you may eat and drink at my table, in my kingdom: and may sit upon thrones, judging the twelve tribes of Israel. [31] And the Lord said: Simon, Simon, behold Satan hath desired to have you, that he may sift you as wheat: [32] But I have prayed for thee, that thy faith fail not: and thou, being once converted, confirm thy brethren. (Luke 22)
What seems to be insinuated here is people should accept the doctrine and beliefs of the catholic church on faith alone ...
Unless God gives you faith, you won't believe even if one came from the dead and told you. However, the Church invites every believer to examine her teachings for consistency both internally, with reason, and with the scripture and satisfy himself before coming to the faith.
When I first heard:
John 10:27-30
My sheep hear my voice, and I know them, and they follow me: And I give unto them eternal life; and they shall never perish, neither shall any [man] pluck them out of my hand. My Father, which gave [them] me, is greater than all; and no [man] is able to pluck [them] out of my Father's hand. I and [my] Father are one.
I knew what I heard and read was the truth that only a few months prior I had asked God to reveal to me. I knew that what these verses were saying was NOT what I had heard or learned in my nearly sixteen years as a "cradle" Catholic. It was the pure and simple truth of eternal life by grace through faith and the assurance that my Heavenly Father held me in his hands never to be plucked out. I did not leave the Catholic Church because of any other reason than I saw for myself that I had been told a lie all those years and that God would reveal the truth to any who search for him with all their heart.