I can give you some clues for this problem and you can reflect on it...
*Addresses are in order.
*Addresses are not random.
* Addresses always have PVK values that differ by one PVK value.
* There is a pattern.
The key is to use the common factor within each address pair and its PVK value.
A common factor between addresses 1 and 2 is that their PVK value is equal to 3.
A common factor between addresses 3 and 4 is that their PVK value is equal to 7.
A common factor between addresses 5 and 6 is that their PVK value is equal to 21.
Etc...
PVK values are always in a mathematical progression (in this case, I don't like to use the word "sequence") that appears to be in a progression of prime numbers.
* What is important is not the PVK values but the mathematical relationship between the PVK values.
*Addresses are in a progression of prime numbers.
*The addresses are always in order.
* There is always a relationship between the PVK value of the following addresses.
*PVK values do not always have to be prime numbers.
* PVK addresses are always generated mathematically and never randomly.
* Don't look for the answer in the Bitcoin blockchain.
* Think of the relationship between the directions as the common factor between two very large prime numbers.
* The equation to be solved for the PVK values is a unique mathematical solution.
*Also remember that PVK addresses are always in order.
*The key is the PVK value pattern.
* The pattern goes beyond PVK values.
* Use a mathematical relationship between the PVK values to calculate the PVK values of the directions in the depressed progressions.
Some clues are a little more ambiguous, but if you think about it it can give you a little idea of how to decipher the directions in this case. I can't give you more information about the exact formula behind all this for security reasons, but I hope you have fun and someone very special sends you greetings. ✌️
If you are satoshi try it by sending me 1 btc, just kidding.
Your analysis is very interesting, friend.
edit:
My doubt is that I believe that there is no common factor for 5 and 6 to have a result of 21.
I agree with you, and I knew already the relationship between all private keys, and how power by 2 working there to make a strong pattern. I still trying to figure the equation