Matthew's and Luke's Geneologies, aligned

Like Matthew, Luke recounted a royal genealogy and a virgin birth for Jesus, it’s over in Luke 3:23-38. Unlike Matthew, who traced Jesus' birth back through the line of David to Abraham in order to appeal to his Jewish audience, Luke the evangelist traced Jesus' lineage back to Adam, indicating a universal sense of salvation.

When Jesus entered public life he was about thirty years old, the son (in public perception) of Joseph; [but through Mary] who was—

son of Heli,

Heli was Mary's father, according to many theologians, and Mary the oldest among a family of only girls. That would have made her oldest son her father's heir -- his "son."

son of Matthat,
son of Levi,
son of Melki,
son of Jannai,
son of Joseph,
son of Mattathias,
son of Amos,
son of Nahum,
son of Esli,
son of Naggai,
son of Maath,
son of Mattathias,
son of Semein,
son of Josech,
son of Joda,
son of Joanan,
son of Rhesa,
son of Zerubbabel,
son of Shealtiel,
son of Neri,
son of Melchi,
son of Addi,
son of Cosam,
son of Elmadam,
son of Er,
son of Joshua,
son of Eliezer,
son of Jorim,
son of Matthat,
son of Levi,
son of Simeon,
son of Judah,
son of Joseph,
son of Jonam,
son of Eliakim,
son of Melea,
son of Menna,
son of Mattatha,
son of Nathan,

In Matthew's geneology, Joseph’s line is followed through David and Bathseba’s son Solomon. In Luke's geneology, Mary’s line is followed through David and Bathsheba’s son Nathan.

son of David,
son of Jesse,
son of Obed,
son of Boaz,
son of Salmon,
son of Nahshon,
son of Amminadab,
son of Admin,
son of Arni,
son of Hezron,
son of Perez,
son of Judah,
son of Jacob,
son of Isaac,
son of Abraham,

This is the only section in which Matthew's and Luke's genelogies align:

Abraham was the father of Isaac,
Isaac, the son of Abraham and Isaac the father of Jacob,
Jacob, the son of Isaac and Jacob the father of Judah and his brothers,
Judah, the son of Jacob and Judah the father of Perez and Zerah by Tamar,
Perez, the son of Judah and Perez the father of Hezron,
Hezron, the son of Perez and Hezron the father of Ram,
Arni, the son of Hezron
Admin, the son of Arni
Amminadab, the son of Admin and Ram the father of Amminadab,
Nahshon, the son of Amminadab and Amminadab the father of Nahshon,
Sala, the son of Nahshon and Nahshon the father of Salmon,
Boaz, the son of Sala and Salmon the father of Boaz by Rahab,
Obed, the son of Boaz and Boaz the father of Obed by Ruth,
Jesse, the son of Obed and Obed the father of Jesse,
David, the son of Jesse and Jesse the father of David the king.

son of Terah,
son of Nahor,
son of Serug,
son of Reu,
son of Peleg,
son of Eber,
son of Shelah,
son of Kenan,
son of Arphaxad,
son of Shem,
son of Noah,
son of Lamech,
son of Methuselah,
son of Enoch,
son of Jared,
son of Mahalaleel,
son of Kenan,
son of Enos,
son of Seth,
son of Adam,
son of God.

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