So no, you don't know.
What it has to do with anything, Vixen, is that it's just one simple manifestation of the statistical understanding required to be able to figure all of this out properly. If you did that calculation, you'd realise that even only 10 generations removed, any one of those 10th-gen ancestors only contributes to less than 1/1000 of your own genome. So even for someone who, say, brags that he/she is a descendant of someone famous/powerful from the 18th Century, the reality (genetically speaking) is that less than 1/1000 of that person was contributed by said famous/powerful ancestor.
And when you understand that, it makes it (perhaps....) easier to understand how when one goes back 30 or 40 generations, the genetic dilution becomes truly immense. And when the dilution effect is overlayed onto the network effect of the coupling permutations of societies, it's easy to arrive at the rational - and entirely correct - conclusion that, for example, everyone with European ancestry is directly related to every European who a) was alive in (say) 850AD, and b) has a descendency line reaching to the present day. Someone such as Charlemagne clearly meets both those criteria (as, of course, do millions of other Europeans alive at the same time....). And therefore every European alive today (i.e. with European ancestry) is a direct descendent of Charlemagne. (As indeed they are also a direct descendent of every other one of those millions of Europeans alive in 850AD who have a descendency line reaching to the present day).
Oh dear. I really could not care less about a supposed connection to Charlemagne (what is YOUR connection to him, anyway, other than a tree-hugging patronising, "we are all humans related to all other humans"). I have never been the slightest interested in French or German history, so only you are upset by it (and Rutherford seems to be upset about Christopher Lee's professed descent).
OK, so you managed to calculate that one has circa 1,000 grandparents from
ten generations ago. However, I have identified literally dozens of direct grandparents from ten and beyond generations ago, not just one. These would be XXXX which you would never have heard of and would have no interest in. Remember, they all married into each other's families, so this went on for generations, not just one. Meaningless to you, and unsurprising, given the geography and history, but for me, yes, there is pride. For example, I was reading a book this evening by an eminent historian, Michael Roberts, who sadly, is deceased - otherwise I would want to write to him praising his dry ascerbic wit and sharp insights - titled,
The Early Vasas - A history of Sweden, 1523 - 1611, Cambridge University Press, 1968 wherein he says of XXXX:
"But in 1565 began a series of brilliant naval victories by a great Admiral, XXXX'... p. 217
Roberts was 'Professor of Modern History, The Queens University , Belfast'. So that is
discerning praise indeed.
Do you think people really are so thick they don't understand how progeny works, and they need patronising smiley gits like Brian Cox giving us condescending soundbites, like a Blue Peter presenter, as if only their minds are bright enough to grasp, "you have two parents, four grandparents, eight great grandparents, etc., etc" Really? You don't say!