Hebrews 7:3 without father, without mother, without genealogy, having neither beginning of days nor end of life, but made like the Son of God, remains a priest continually.

In an earlier Morning Thought I wrote concerning Melchizedek: I believe he is Shem, the son of Noah, from whom the Hebrew lineage and Abraham descends. In fact, Shem is Abraham’s great, great, great, great, great, great, great, grandfather.
If true and Shem and Melchizedek are the same, it explains some things in a later chapter of Hebrews.

Today’s scripture is that later chapter of Hebrews.
When the flood came it destroyed the old world, leaving only Noah, Shem, Japheth, Ham, and their wives.
Shem has no genealogy to speak of since all his ancestors died during the flood and by the time Abraham meets Shem/Melchizedek, even Noah is gone.
So Melchizedek, if he is indeed Shem, has no father, mother, or genealogy.
You can read the genealogy of Jesus in Matthew and Luke, although they differ slightly.
I believe Matthew, being Jewish, gave the family record of Joseph, the “supposed” father of Jesus.
Luke gave the lineage of Mary, the mother of Jesus.
But since Jesus, the Son, existed with God from Creation (John 1:1-3, 14) then He has no genealogy. He always existed.
Another similarity, it is also written Melchizedek king of Salem brought out bread and wine. Gen 14:18
Bread and wine indicate communion.
As also stated earlier, Jesus is not of the priestly lineage of Aaron but from Judah, therefore, He is our High Priest by choice not by genealogy – a priest forever after the order of Melchizedek.
Melchizedek offered bread and wine to Abraham and Jesus offered it to the church, His disciples.
Then Jesus offered His body (the bread) and His blood (the wine) as the sacrifice for the sins of the human race.