Luke 3:23

New Catholic Bible

²³The Genealogy of Jesus.^[a] When Jesus began his ministry, he was about thirty years old. He was the son, as it was thought, of Joseph,^[b]

the son of Heli,

Luke 3:23 Luke gives a genealogy that is meant not as a historical document but as the assertion of a legal status. Jesus is linked to Joseph, even though it was known that the link was not one of blood; the reason for doing so is that at that time only men and not women had rights. The genealogy then moves back to David, without following the line of kings. From that point it continues again, not only as far as Abraham, but—and this is the chief novelty of the passage—as far as Adam, who comes from the hand of God. Luke’s intention is to stress the point that Jesus belongs not only to the chosen people but to the entire human race, which he has come to save.
Whereas Matthew specifically mentions three groups of 14 generations, Luke lists 77 names, according to a scheme of sevens. From the beginning of the human race until Jesus there are eleven series of seven (11 x 7). Jesus comes as Messiah in the eschatological stage of history (see 4 Esdras 14:11).
Luke 3:23 It may be helpful to record another interpretation of the difference between this genealogy and that of Matthew: in virtue of the law of the levirate, Joseph (it is said) had two fathers, one biological (Jacob), the other legal (Heli); thus two different lists are used as far back as Shealtiel.

New Catholic Bible (NCB)