Age of the Earth by Generations

From the beginning God made them male and female, and here are the generations to Noah.

This is the book of the generations of Adam. In the day that God created man, in the likeness of God made he him;  Male and female created he them; and blessed them, and called their name Adam, in the day when they were created.  And Adam lived an hundred and thirty years, and begat a son in his own likeness, after his image; and called his name Seth:  And the days of Adam after he had begotten Seth were eight hundred years: and he begat sons and daughters:  And all the days that Adam lived were nine hundred and thirty years: and he died.  And Seth lived an hundred and five years, and begat Enos:  And Seth lived after he begat Enos eight hundred and seven years, and begat sons and daughters:  And all the days of Seth were nine hundred and twelve years: and he died.  And Enos lived ninety years, and begat Cainan:  And Enos lived after he begat Cainan eight hundred and fifteen years, and begat sons and daughters:  And all the days of Enos were nine hundred and five years: and he died.  And Cainan lived seventy years, and begat Mahalaleel:  And Cainan lived after he begat Mahalaleel eight hundred and forty years, and begat sons and daughters:  And all the days of Cainan were nine hundred and ten years: and he died.  And Mahalaleel lived sixty and five years, and begat Jared:  And Mahalaleel lived after he begat Jared eight hundred and thirty years, and begat sons and daughters:  And all the days of Mahalaleel were eight hundred ninety and five years: and he died.  And Jared lived an hundred sixty and two years, and he begat Enoch:  And Jared lived after he begat Enoch eight hundred years, and begat sons and daughters:  And all the days of Jared were nine hundred sixty and two years: and he died.  And Enoch lived sixty and five years, and begat Methuselah:  And Enoch walked with God after he begat Methuselah three hundred years, and begat sons and daughters:  And all the days of Enoch were three hundred sixty and five years:  And Enoch walked with God: and he was not; for God took him.  And Methuselah lived an hundred eighty and seven years, and begat Lamech:  And Methuselah lived after he begat Lamech seven hundred eighty and two years, and begat sons and daughters:  And all the days of Methuselah were nine hundred sixty and nine years: and he died.  And Lamech lived an hundred eighty and two years, and begat a son:  And he called his name Noah, saying, This same shall comfort us concerning our work and toil of our hands, because of the ground which the Lord hath cursed.  And Lamech lived after he begat Noah five hundred ninety and five years, and begat sons and daughters:  And all the days of Lamech were seven hundred seventy and seven years: and he died.  And Noah was five hundred years old: and Noah begat Shem, Ham, and Japheth.
Genesis 5:1-32 KJV

Here are the generations to Abraham. Still no holes.

These are the generations of Shem: Shem was an hundred years old, and begat Arphaxad two years after the flood:  And Shem lived after he begat Arphaxad five hundred years, and begat sons and daughters.  And Arphaxad lived five and thirty years, and begat Salah:  And Arphaxad lived after he begat Salah four hundred and three years, and begat sons and daughters.  And Salah lived thirty years, and begat Eber:  And Salah lived after he begat Eber four hundred and three years, and begat sons and daughters.  And Eber lived four and thirty years, and begat Peleg:  And Eber lived after he begat Peleg four hundred and thirty years, and begat sons and daughters.  And Peleg lived thirty years, and begat Reu:  And Peleg lived after he begat Reu two hundred and nine years, and begat sons and daughters.  And Reu lived two and thirty years, and begat Serug:  And Reu lived after he begat Serug two hundred and seven years, and begat sons and daughters.  And Serug lived thirty years, and begat Nahor:  And Serug lived after he begat Nahor two hundred years, and begat sons and daughters.  And Nahor lived nine and twenty years, and begat Terah:  And Nahor lived after he begat Terah an hundred and nineteen years, and begat sons and daughters.  And Terah lived seventy years, and begat Abram, Nahor, and Haran.  Now these are the generations of Terah: Terah begat Abram, Nahor, and Haran; and Haran begat Lot.  And Haran died before his father Terah in the land of his nativity, in Ur of the Chaldeans.  And Abram and Nahor took them wives: the name of Abram's wife was Sarai; and the name of Nahor's wife, Milcah, the daughter of Haran, the father of Milcah, and the father of Iscah.  But Sarai was barren; she had no child.  And Terah took Abram his son, and Lot the son of Haran his son's son, and Sarai his daughter in law, his son Abram's wife; and they went forth with them from Ur of the Chaldeans, to go into the land of Canaan; and they came unto Haran, and dwelt there.  And the days of Terah were two hundred and five years: and Terah died in Haran.
Genesis 11:10-32 KJV

From here the Bible says there were 42 generations.

So all the generations from Abraham to David are fourteen generations, from David until the captivity in Babylon are fourteen generations, and from the captivity in Babylon until the Christ are fourteen generations.
Matthew 1:17 NKJV