An archaeologist claims he found some gold coins dated 64 B.C.
Do you believe him?
If you don't mind I'm going to disprove the ill thought solution you've provided us. While this question may have seemed intelligent from the get go, your solution isn't logical. I WOULD believe the archaeologist, and not because you didn't. By uncovering the coin, you also uncover the dirt and soil around it, soil contains carbon. A sample of the soil drudged from the same basic area of the coin, can be carbon tested, to reveal an age that is exact larger than 80% of the time. Counting back, then, from this day, the amount of years the carbon was dating back to, could easily reveal a date of 64 B.C., regardless of Jesus being born back then or not, because we are in modern day, when such calendars already exist.