I would guess that some of those who are still on the list are those who are difficult to buy for. None of us want to get or give gifts that fall into either of those two categories. As a way of stimulating our thinking about gifts . . . and to remind us of the person who is to be honored above all at this season it seems best to focus on the most famous gift givers of all . . . The truth is we don't know a great deal more about the Magi than this child did. It is easier to list what we don't know than what we do.
Tradition says three because of the three gifts.
It may have been more. The entourage was certainly bigger than three people. It was somewhere before he was two years old and sometime after he was born. They brought him gifts of gold, frankincense and myrrh. Now why would the gifts be noted and none of those other details.