Citations: Matthew 8:5-13 || Luke 7:1-10 A Roman centurion (Gentile, military officer commanding ~100 soldiers) sends to Jesus on behalf of his sick servant.
Narrative, Luke's fuller form
Centurion has a servant near death, very dear to him. He sends Jewish elders to plead with Jesus on his behalf. The elders affirm: "He is worthy for you to do this for him, for he loves our nation, and he built our synagogue for us." Jesus goes with them.
When Jesus is near, the centurion sends friends with a second message: "Lord, don't trouble yourself, for I am not worthy that you should come under my roof. Therefore I didn't even think myself worthy to come to you; but say the word, and my servant will be healed. For I am also a man placed under authority, having under myself soldiers. I tell this one, 'Go!' and he goes; and to another, 'Come!' and he comes; and to my servant, 'Do this,' and he does it."
Jesus's response (Matthew's narration of Jesus's words): "Most certainly I tell you, I have not found so great a faith, not even in Israel. I tell you that many will come from the east and the west, and will sit down with Abraham, Isaac, and Jacob in the Kingdom of Heaven, but the children of the Kingdom will be thrown out into the outer darkness."
Jesus to those who came: "Go your way. Let it be done for you as you have believed."
Servant healed in that same hour.
Theological significance
Faith from outside Israel, Jesus's marvel ("I haven't found so great a faith, not even in Israel") + warning (children of the Kingdom thrown out; Gentiles seated with patriarchs) is among the first NT anticipations of Gentile inclusion + Israel's leaders' rejection of the gospel. Anticipates Paul's Romans 9-11 wrestle.
Authority-recognition Christology, the centurion's "I am under authority + have authority + know how authority works, you can command healing across distance" treats Jesus as having the same kind of authority over disease that the centurion has over soldiers. Implicit divine-prerogative recognition.
Worthiness-vs-grace, Jewish elders argue centurion's worthiness ("he loves our nation"); centurion himself disclaims worthiness ("I am not worthy"). Tension between merit-language + faith-language. Mainstream reading: the elders speak from social/relational acknowledgment; the centurion speaks from spiritual self-awareness; Jesus responds to the faith, not the merit.
The "Domine, non sum dignus" tradition, the centurion's "Lord, I am not worthy" is recited in Catholic Mass before Communion in slightly adapted form. Major liturgical inheritance.
Matthew vs. Luke, the accounts differ, Matthew has the centurion himself coming + speaking (direct encounter); Luke has him sending elders + friends (indirect). Proposals: Matthew abbreviates the fuller sequence, on the ancient convention that what an emissary says on his sender's behalf counts as what the sender says; or the two evangelists shaped a shared tradition differently, Luke drawing out the Jewish elders' role and Matthew compressing to the exchange that carries his point. Both are set out here without forcing one; the words attributed to the centurion, and Jesus's answer, are the same in each.