The following includes some excerpts from a short book I wrote: (that can be read online for free)
Are the genealogies accurate?
guide4christmas.com
There are a few prophecies the genealogies fulfil (Messiah would be a descendent of Abraham, King David, and governor Zerubbabel and his father Shealtiel) and besides that the genealogies are mostly different and contradictory. I mean they don't even agree which son of David Joseph was descended from or who was the father of Shealtiel or the son of Zerubbabel or the father of Joseph.
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The prophecies:
More:
To restate what I've said, the two genealogies "prove" that Jesus was the prophesized Messiah because it shows that he fulfilled the prophecies regarding being a descendant of Abraham, King David and Zerubbabel/Shealtiel.
But in John they're also aware of the prophecies but the crowd doesn't think that Jesus fulfilled them....
John 7:41-42 says:
This creationist article brings up another issue:
The genealogies of Jesus in Matthew and Luke are different. In-depth study of Scripture and Jewish methods explains why. Both genealogies explain important facets of the Gospel message.
creation.com