It's OK, the UK has Royal Family isn't worried about being replaced
(media.patriots.win)
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The Prophet Muhammad lived between the years 570 and 632. HM the Queen was born in 1926. The time in between is roughly 1300 years. At 30 years a generation that is over 43 generations. The number of ancestors doubles with each generation so we need to work out 2 to the power of 43 to see how many ancestors the Queen would have had back in the year 600.
2^43 = 8,796,093,022,208
So it is quite likely that we could all be related to everyone back then!
Also, as there have never been that many people on earth at the same time it means we are all interbred to some extent.
Lemmie see:
Generation 1 has 2 parents (= Generation 2). = 2 Generation 2 has 4 parents (= Generation 3). + 4 Generation 3 has 8 parents (= Generation 4). + 8 Generation 4 has 16 parents (= Generation 5). + 16 Generation 5 has 32 parents (=Generation 6). + 32
Total number: 62. The progression shows not a square root, but a simple calculus of the number of generation times the number of parents of a specific child: 42*2 = 86.
The total sum of all these 43 generations in terms of the number of parents as the predecessors to any now living child: 1892.
I was with you right up to where you got to 32. Even the 62 is not too far away because it is really 64 but you have left the first generation out, I'm guessing. What you did after that I don't understand. Why not just continue where you were from 32 onwards? if you do you get this:
1 2 2 4 3 8 4 16 5 32 6 64 7 128 8 256 9 512 10 1,024 11 2,048 12 4,096 13 8,192 14 16,384 15 32,768 16 65,536 17 131,072 18 262,144 19 524,288 20 1,048,576 21 2,097,152 22 4,194,304 23 8,388,608 24 16,777,216 25 33,554,432 26 67,108,864 27 134,217,728 28 268,435,456 29 536,870,912 30 1,073,741,824 31 2,147,483,648 32 4,294,967,296 33 8,589,934,592 34 17,179,869,184 35 34,359,738,368 36 68,719,476,736 37 137,438,953,472 38 274,877,906,944 39 549,755,813,888 40 1,099,511,627,776 41 2,199,023,255,552 42 4,398,046,511,104 43 8,796,093,022,208