Hello
I found this "puzzle" by a student who wondered if it is possible for the keys to be sequential, the answer to this is that it could be possible that a mathematical formula was used for this.
but it is also possible that he only did this:
n=1,256
r(2^n-1))
and then manually modify the values "randomly", It is most likely that he did so.
In short, I would have to investigate with more time, honestly I do not have the computational power to use brute force, but I can give you some statistical advice on this.
1- brute force with large numbers is always better randomly.I will use the
Monty Hall paradox as an example.
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?
At first the contestant has 1/3 chances, then when the host opens a door and gives you the option to change at first glance it seems that if you would have the same probability but no.
The car has a 1/3 chance of being behind the door chosen by the player. The other door have a probability of 2/3 and not 50%.
This is the reason why at this point in the "puzzle" a random search is always better than staying in a large range.
2-
Is human randomness really random?playing with some statistical algorithms I made calculations that are close to the range where there is a greater probability that the private keys are found.
Pn- range found
65- 30580000000000000000 30568377312064202855
66- 61230000000000000000
67- 137500000000000000000
68- 266900000000000000000
68- 459400000000000000000
69- 520700000000000000000
70- 978700000000000000000 970436974005023690481
Given that the range of the puzzles 65 and 70 of the formula that I use are close to reality, by statistics the ranges 66, 67, 68 and 69 exist the probability of being close to the real result.
if the puzzle creator made manual changes pretending randomness or disassociating from 2^n-1 , he fail because humans are bad at it.
we always tend to repeat sequences unconsciously by association.
exercise:
If I ask you to read 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 and quickly I ask you to say a color without meditating or thinking.
The most likely thing is that you chose the color: "answer at the end of the comment" (don't cheat, just say the numbers and say the first color you think of quickly).
my opinion
I don't know what is the reason for this, it's my first approach to bitcoin, but if the creator is rich enough to do it because I don't just take addresses like mine
(
1
HUGxcudaxCdufCaYHRoNadeCa73i3hB2r) randomly and send money?
Does he try to test if bitcoin can be hacked? Does he want to encourage the creation of brute force tools?
Personally, I think it would be more likely to find a back door to the elliptic curve used by satoshi than to brute force 256.
In any case, if I were to do this, I wouldn't do it because my resources are basic.
I would use random numbers in a range
I would search for known public keys to maximize the performance of the code by skipping various processes that slow down the search.
I don't know if I'm wrong because this is a new world for me, if I am, please correct me.
sorry for my English.
answer:
RED.