what are you talking about? Adam could have been alive and died before the event of even up to when noah was working on the ark which in the bible showed it was 120 years I believe. Adam lived 9 hundred something years.
Your innumeracy?
Archbishop Ussher calculated the date of creation as October 22, 4004 BC based on the genealogies of Genesis.
Both of your dates, 4500 BC and 4300 BC are before the world was created!
For Coyoteman:
Another Flood Estimate: 2522 BC -- Dr. Gerhard Hasel Professor of Old Testament and Biblical Theology at Andrews University.