The primacy of Peter is clearly noted in the Bible:
“And I say to you, you are Peter, and upon this rock [‘Peter’ is Greek for ‘rock’] 1 will build my Church, and the gates of hell will not prevail against it” (Matt. 16:18).
“I will give you the keys of the kingdom of heaven; and whatever you loose on Earth shall be loosed in heaven” (Matt. 16:19).
“I have prayed that your own faith may not fail; and once you have turned back, you must strengthen your brothers” (Luke 22:33).
God sent an angel to Peter to announce the Resurrection of Jesus (Mark 6:7).
The risen Jesus first appeared to Peter (Luke 24:34).
Peter headed the meeting which elected Matthias as replacement for Judas (Acts 1:13-26).
Peter led the apostles in preaching on Pentecost (Acts 2:14).
Peter led the meeting which decided on which terms Gentiles would be allowed into the Church (Acts 15).
Peter was the judge of Ananias and Saphira (Acts 5:1-11).
Jesus entrusted Peter with his flock, making him too a Good Shepherd (John 21:15-17).
Peter performed the first miracle after Pentecost (Acts 3).
After his conversion Paul went to see Peter, the chief apostle (Gal. 1:18).
Throughout the New Testament, when the apostles are listed as a group, Peter’s name is always first. Sometimes it’s just “Peter and the twelve. ”
Peter’s name is mentioned more often than the names of all the other apostles put together.