How much time passes between Adam and Jesus?

According to Luke's genealogy Jesus is the 76th great grandchild of Adam . But in the holy bible how many years elapse between the creation of Adam and the birth of Jesus? I have googled the question, but I do not believe the answers given by google to be accurate. All the answers point to a time period of around 4000 years which would bring us back to only 4000BC. However according to Wikipedia Adam was 930 years old when he died, Seth was 912, Enos was 905, Kenan was 910, Mahalalel was 895. Therefore we still have around 71 generations left to go and we are already beyond the 4000BC period.