It's not that spooky. The odds are fairly low for a matching day and month.
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I once shared a PhD office with three other people, and two of them had the same birthday as me (same date, but different ages). I think it was once worked out what the odds were, and they were actually disappointingly low.
Someone once said, on hearing it, "Oh, I bet you all go out and have a big birthday drink together!" No, we didn't, because there was rather a lot of mutual dislike of each other!