The concept of a logarithm was invented just a few centuries ago and immediately changed engineering as we know it.
You can even do regression analysis
https://i.ibb.co/jJYVpd6/Figure-1.pngI'm lost between the size of the numbers and the precision required here . . .
There is no pattern. But it's not random either according to the polynomial analysis. There is an exact math formula for making this puzzle with some script, errors = ZERO. With high decimal precision (mp.dps = 20 at least)
And the formula is in the creator's mind.
Viewing it at that level of precision, it obviously corresponds to a regression line corresponding to 2^n.
The problem comes when inferring where the private address falls in the range 2^n-1 -2^n when n>50, in this case if a random pattern exists here it will be very difficult to find it in the range.
However, a prediction with linear regression can give us a clue that could be +15% -15% or 30% of the predicted value, which in the case of the range for bit 66 and greater is still an astronomical number.