Great Grand Patents Maths!

You have 2 Parents, 4 Grand Parents, 8 Great Grand Parents, 16 Great, Great, Grand Parents, etc, etc.

The unbroken rule; Every single person always has 2 parents that went before them.
This rule can't be broken!

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Multiplying by the power of two;
Power of two
http://en.wikipedia.org/wiki/Power_of_two
Power of 2 numbers typed out;
http://www.cs.sjsu.edu/~mak/1401/powersOf2_printout.txt

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Note; this symbol "^", it means "To the Power of".
Example; 2^6 - This is 2 to the power of 6, or 2x2x2x2x2x2

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1 - You, your brothers and sisters! (The year is 2014 A.D.)

2 - You have 2 parents!
4 - You have 4 grand parents!
8 - You have 8 great, grand parents! (Roughly about 1900 A.D. - Just ball-park figures!)
16 - You have 16 great, great, grand parents!
32 -- 2 to the power of 5 - You have 32 great, great, great, grand parents!

64 – You have 64 great^4 grand parents! (Roughly about 1800 A.D.)
124
256
512 - (Roughly about 1700 A.D.)
1,024 -- 2 to the power of 10 - You have 1,024 great^8 grand parents!

2,048
4,098 - (Roughly about 1600 A.D.)
8,196
16,392
32,784 -- 2 to the power of 15 - You have 32,784 great^13 grand parents! (Roughly about 1500 A.D.)

65,536
131,072
262,144 - (Roughly about 1400 A.D.)
524,288
1,048,576 -- 2 to the power of 20 - You have over 1 million great^18 grand parents!

2,097,152 - (Roughly about 1300 A.D.)
4,194,304
8,388,608
16,777,216 - (Roughly about 1200 A.D.)
33,554,432 -- 2 to the power of 25 - You have 33 million great^23 grand parents!

67,108,864
134,217,728 - (Roughly about 1100 A.D.)
268,435,456
536,870,912
1,073,741,824 -- 2 to the power of 30 - You have over 1 billion great^28 grand parents! (Roughly about 1000 A.D.)

2,147,483,648
4,294,967,296
8,589,934,592 -- 2 to the power 33 - 8.5 Billion grand parents, exceeds the population of the World! (Roughly about 900 A.D.)
17,179,869,184
34,359,738,368 -- 2 to the power of 35 - You have over 34 billion great^33 grand parents!

68,719,476,736 - (Roughly about 800 A.D.)
137,438,953,472 – 2 to the power of 37 – 137 Billion, exceeds total number of humans that have ever lived!
274,877,906,944
549,755,813,888 - (Roughly about 700 A.D.)
1,099,511,627,776 -- 2 to the power of 40 - You have over 1 Trillion great^38 grand parents!

2,199,023,255,552
4,398,046,511,104 - (Roughly about 600 A.D.)
8,796,093,022,208
17,592,186,044,416
35,184,372,088,832 -- 2 to the power of 45 - You have over 35 Trillion great^43 grand parents! (Roughly about 500 A.D.)

At an average of 1 generation every 33 years,
That's 3 generations every 100 years,
That's 30 generations in the last 1,000 years.
Remember - You have over 1 billion great^28 grand parents in the last 1,000 years!

So 37 generations back, your 35th great grand parent, roughly about the year 750 A.D., you had 137 Billion great grand parents!, more than
the number of human beings that have ever lived on this planet, Earth!

We are all cousins in the last 1,250 years. Its just a matter of plotting out the family tree!
They are YOUR grand parents, go and find out who they were!

John.

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Taking that one step further...

...they left us a legacy in that we can look back...

...what do we leave the future to look back on?

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We are all cousins in the last 1,250 years. Its just a matter of plotting out the family tree!
They are YOUR grand parents, go and find out who they were!

We are not that close to the entire population but much closer to the local population. As an American I live in a truly divers population. What does an American look like? With other countries I can definitely see a family resemblance in the population. So you people are way more inbred than US. Perhaps that is your problem.

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Most great grandparents are dead and some of them had 17 children (mine e.g.) and most had more than one. Therefore your math estimates are way off.

Most great grandparents are dead and some of them had 17 children (mine e.g.) and most had more than one. Therefore your math estimates are way off.

Daddio,
The Maths are not wrong! The Maths are 100% correct!

This set of maths are about your ancestors, not the descendants of those ancestors. This is about working back the way, not forward! Yes, you are correct, when you take a person from the 1500's and plot forward, you get a "descendancy" chart that will look very different. This set of maths is not "descendancy", its "ancestry". Its working back the way, starting with YOU!

You Daddio, YOU personally, had over 1 million great grand parents about the year 1350 AD, roughly. And you had over 1 billion great grand parents about the year 1000 AD, roughly! And so did I. And so did everybody else on the planet!!

Ultimately, everybody is your cousin, and everybody is in-bred to one degree or another, in the last 1000 years.

John.

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Also, the title of this message should read;
"Great Grand Parents Maths!"
instead of;
"Great Grand Patents Maths!"

Sorry about that. You used to be able to change the title of a thread here by going back in and re-editing the message. But it doesn't seem to work any more.

[EDIT] Got it!! I fixed the spelling mistake! It does work :)

John.

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Sorry, just edited the title. :(

A oops, moment.

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And you had over 1 billion great grand parents about the year 1000 AD, roughly!

Not really, those in the new world have to go back farther than that to find a common ancestor. I agree with your math but not you global mating. The highest world population estimate I found for 1000 AD is 345,000,000. People didn't travel very far then ether. We wouldn't have races if it wasn't for mating within our own family.

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And that does not take into consideration that cousins marreied and even brothers and sisters married. You cant have more people alive as relatives in the past that outnumber the 7 billion alive today. Interbreeding, Has and does go on between relatives. Any small town in the US has scores of family that share ancestors. So your math is skewed to sensationalism.

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[/quote]

Old James

Daddio,
The Maths are not wrong! The Maths are 100% correct!

Yes, my son, that's right--I was testing your logic to see if you could approach the next question?

Can you determine from today's count of world population how many people have ever lived. Can you use Math to even estimate this number ??

You can use, say, 50,000 BCE for your starting point or Adam and Eve --just 4000 years ago which would start with just two. You could probably prove that Adam and Eve could not possibly have existed; at least not just 4000 years ago. There are currently 7.1 Billion people on the planet--you may take it from there.

As for 4000 years: the pyramids may cause trouble with this dogma unless they were built by zero people.

http://news.nationalgeographic.com/news/2013/12/131204-human-fossil-dna-spain-denisovan-cave/

New tests on human bones hidden in a Spanish cave for some 400,000 years set a new record for the oldest human DNA sequence ever decoded—and may scramble the scientific picture of our early relatives.

Steve

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Warning, addicted to SETI crunching!
Crunching as a member of GPU Users Group.
GPUUG Website

Daddio,
The Maths are not wrong! The Maths are 100% correct!

Yes, my son, that's right--I was testing your logic to see if you could approach the next question?

Can you determine from today's count of world population how many people have ever lived. Can you use Math to even estimate this number ??

You can use, say, 50,000 BCE for your starting point or Adam and Eve --just 4000 years ago which would start with just two. You could probably prove that Adam and Eve could not possibly have existed; at least not just 4000 years ago. There are currently 7.1 Billion people on the planet--you may take it from there.

As for 4000 years: the pyramids may cause trouble with this dogma unless they were built by zero people.

Daddio,
Yea, if you start Googling "Total Number of Humans that have ever lived", the estimates vary wildly. Truth is, even for academics, its still a pure guess.

A popular ball-park figure is roughly 100 Billion people, the total number of humans that have ever lived. And its not going to be out by that much. A lower limit is 60 Billion, and an upper limit is about 150 Billion. Those figures are based on the fact that the current world population is about 7 Billion.

So Daddio,
To answer another question - How fast can you get from Adam and Eve, that is 2 people, to the 7 billion that are alive today?

I did some rough maths for this about 4 years ago, and I wrote them down and saved them. Here is one possible sinario;

The Answer; You can get from 2 people to 7 billion in just 33 generations quite easily!!! And 33 generations back, as you can see from the first post in this thread is roughly about 900 AD.
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Here are the maths;
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Realistic way to get from 2 people to 7 billion people
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Couples averaging 6 children,
loosing 1 child to sickness,
Loosing 1 teenager/adult to premature death, or choosing not to reproduce,
Total reproducing children = 4 per generation.
So we only count the children that go on to reproduce = 4


Simply put, this is the population doubling every single generation.


Generation 1 = 2 - Adam & Eve
Generation 2 = 4 - They must pair off as 2 couples. 1 couple can produce 4, so 2 couples can produce 2 x 4 = 8
Generation 3 = 8 - They must pair off as 4 couples. 1 couple can produce 4, so 4 couples can produce 4 x 4 = 16
Generation 4 = 16 - They must pair off as 8 couples. 1 couple can produce 4, so 8 couples can produce 8 x 4 = 32
Generation 5 = 32 - They must pair off as 16 couples. 1 couple can produce 4, so 16 couples can produce 16 x 4 = 64
Generation 6 = 64 - They must pair off as 32 couples. 1 couple can produce 4, so 32 couples can produce 32 x 4 = 128
Generation 7 = 128 - They must pair off as 64 couples. 1 couple can produce 4, so 64 couples can produce 64 x 4 = 256
Generation 8 = 256
Generation 9 = 512
Generation 10 = 1,024
Generation 11 = 2,048
Generation 12 = 4,096
Generation 13 = 8,192
Generation 14 = 16,384
Generation 15 = 32,768
Generation 16 = 65,536
Generation 17 = 131,072
Generation 18 = 262,144
Generation 19 = 524,288
Generation 20 = 1,048,576
Generation 21 = 2,097,152
Generation 22 = 4,194,304
Generation 23 = 8,388,608
Generation 24 = 16,777,216
Generation 25 = 33,554,432
Generation 26 = 67,108,864
Generation 27 = 134,217,728
Generation 28 = 268,435,456
Generation 29 = 536,870,912
Generation 30 = 1,073,741,824
Generation 31 = 2,147,483,648
Generation 32 = 4,294,967,296
Generation 33 = 8,589,934,592

The Answer; You can get from 2 people to 7 billion in just 33 generations quite easily!!! And 33 generations back, as you can see from the first post in this thread is roughly about 900 AD.

John.

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What about the spouses that died, and were replaced by another? What about the spouses that had relations with many others? I think it is much more complicated than some simplistic calculations. One father could potentially have hundreds of children, with dozens of different women. In early history, I wouldn't begin to decipher who was with who.

Steve

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Warning, addicted to SETI crunching!
Crunching as a member of GPU Users Group.
GPUUG Website

Something to chew on

The oldest chewing gum ever found, made of birch resin, was discovered by archaeologists during the excavation of a 9000-year-old settlement in southern Sweden.

@ SciManStev - not to mention the infant mortality estimate being a tad on the low side, particularly the further back you go.

In early history, I wouldn't begin to decipher who was with who.

It gets even more complected.

How much Neanderthal DNA do you have? Lots

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I could believe 400,000 years. I maintain that we (gibbon-like apes) came down from the trees and started walking and running in the grasslands of the African Savannas about 6,000,000 years ago. This point in history would probably account for a high proportion of our Human DNA.

What about the spouses that died, and were replaced by another? What about the spouses that had relations with many others? I think it is much more complicated than some simplistic calculations. One father could potentially have hundreds of children, with dozens of different women. In early history, I wouldn't begin to decipher who was with who.

Steve

Steve,
The maths I have posted in this thread are averages. There are hundreds of other possible scenarios. But as an average, through out human history, people tended to form single families and "couples" stayed together, more through necessity and poverty than anything else. Yes, there will have been individual men that had 50 children with 6 different women, but the mass majority will out number them by many multiples.

John.

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Yes, there will have been individual men that had 50 children with 6 different women, but the mass majority will out number them by many multiples.

1 in 200 men direct descendants of Genghis Khan; It's good to be king*.

*I know he wasn't a king.

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Yes, there will have been individual men that had 50 children with 6 different women, but the mass majority will out number them by many multiples.

1 in 200 men direct descendants of Genghis Khan; It's good to be king*.

*I know he wasn't a king.

Batter Up,
That article just proves my point. The article is saying exactly the same thing as I am. Because Genghis Khan was born about 800 years ago, as a result of this, 1 in 200 people in the world today have him as a grand parent!!

Go back further than 1200 AD, and the figures become astronomically large, as you can see in the first post in this thread. Go back to the time of Christ, about year zero AD, and every single person alive today has them as a grand parent. As a ball-park figure, around zero AD, is about your 60th great grand parent, roughly!!

John.

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That article just proves my point. The article is saying exactly the same thing as I am. Because Genghis Khan was born about 800 years ago, as a result of this, 1 in 200 people in the world today have him as a grand parent!!

What is says is he had thousands of children, it's good to be king.

Esther 2:2
Then the king's attendants, who served him, said, "Let beautiful young virgins be sought for the king.

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