1 Chronicles 22:10
This verse is part of a prophecy to David that he would have a son named Solomon who would carry on his dynasty. God promises, "He shall build a house for My name, and he shall be My son, and I will be his Father; and I will establish the throne of his kingdom over Israel forever." Yet Luke 3:31 plainly lists another son of David, Nathan, as Jesus' ancestor. Because of this, some claim that Jesus could not have been the Messiah.
However, the Messiah is not mentioned here at all! Instead, God establishes "the throne"! He is not even talking about a person in this verse, but a thing, the right to rule over Israel. God gave this right to David and his "seed" in a covenant, part of which is contained in II Samuel 7:16: "And your house and your kingdom shall be established forever before you. Your throne shall be established forever."
Psalm 89:34-37 describes this as a perpetual covenant:
"My covenant I will not break, nor alter the word that has gone out of My lips. Once I have sworn by My holiness; I will not lie to David: his seed shall endure forever, and his throne as the sun before Me; it shall be established forever like the moon, even like the faithful witness in the sky." Selah.
This promise becomes even more specific in Jeremiah 33:17: "For thus says the Lord, 'David shall never lack a man to sit on the throne of the house of Israel.'" None of these sections mentions that David's heirs, especially the Messiah, must trace their roots through Solomon!
So the genealogy in Luke 3, which is most likely Jesus' biological genealogy through Mary, is just as valid a claim to David's throne as the one in Matthew 1:1-17. In fact, it strengthens His claim because He can trace his lineage to David through two separate lines!