Topic: Bitcoin puzzle transaction ~32 BTC prize to who solves it - page 90. (Read 215705 times)

can anyone tell me if the puzzle 130 starts from 2 or 3 ?  since the range is 0x200000000000000000000000000000000 and 0x3ffffffffffffffffffffffffffffffff can anyone tell me if its private key starts from 2 or 3 ?

are you kidding ?

it was not found because the 66 bit space is absurdly big for regular brute force

It is simple, every extra bit increate the difficulty by a factor of TWO

Puzzle 63 1NpYjtLira16LfGbGwZJ5JbDPh3ai9bjf4 was redeem in June 2019
Puzzle 64 16jY7qLJnxb7CHZyqBP8qca9d51gAjyXQN was reddem in September 2022

Puzzle 66 range is 4 times bigger than puzzle 64 make your own stimations

Puzzle 65 doesn't count because it was solved with the publickey with kangaro


No, all solved puzzles were in their respectives ranges, so please STOP spreading this shit.

Hello everyone, why do you think Puzzle 66 has not been found yet?
In April 2023, the reward was increased 10 times, but it still has not been found. What do you think is the reason?
Although many amateur people from all over the world searched, it could not be found.
Doesn't anyone have a chance?
Or is puzzle 66 somewhere outside this range?
What are your thoughts?

1 to 0 ratio so far for random unknowns is 1027 to 1053.
#66 adds 65 more bits, so 2145 total.
Let's assume # 66 adds 65 more zeros and no 1s. Ratio would be 1027 to 1118.
Confidence interval for [1027 ... 1118] successes in 2045 trials with p = 1/2 is 95%.
In other words, even if puzzle 66 is full of zeros and the fixed 1, it's still in the 95% expectation range, so it would only be an anomaly from other perspectives.
If confidence range would be really low, we can suspect that the unknowns don't follow a uniform chance to appear, so there is manipulation (e.g. a hidden pattern).

Unfortunately naturally occurring randomness looks like patterns, until you simulate 10.000 times and you realize each one has completely different results over time. Sometimes the cumulative/average/whatever probabilities will go down, sometimes they will jump all over the place, intersect, don't intersect, swap places, dance with each other, or go into opposite extremes (and then return to the other side, or maybe not). An yes, this happens when you use a maximum entropy source, e.g. actual unpredictable noise. It will behave "strange" each time.

So yeah, there is a pattern, it's called randomness. What can we do about it? Let's pretend to assume that the 1 and 0 frequencies should approach an uniform distribution (central limit theorem). This will only happen when we have an infinite number of samples. Until that point, anything is possible within the confidence range, because of binomial distribution of limited number of samples. So #66 can be full of 0, full of 1, or any other combination, and it would still be completely normal within 95% accuracy.

Otherwise, filling out randomness on top of randomness by any pattern or set of patterns has the problem that it can be done in 2^n ways.
Even if assuming that we need to have an equal amount of 0 and 1 still means to check comb(65, 32) possibilities, which is a ***load of candidates itself, as it's the peak of the distribution.

Tell that to the linear regression

I partially agree that the directions are random, but when generating the prediction using linear regression the prediction does not seem to behave as random. If that were the case, my results should be close to a 50 average difference and this does not seem to be the case as the average comes out to 27,81. See the Differ column

#Puzzle       Real address                        %Range        Predict address                             %Range      Differ
-----------------------------------------------------------------------------------------------------------------------------
3       ::      7                         ::      100.0 %       6                                ::         66.67 %     33.33
4       ::      8                         ::      0.0 %         15                               ::         100.0 %     100.0
5       ::      21                        ::      33.33 %       16                               ::         0.0 %       33.33
6       ::      49                        ::      54.84 %       40                               ::         25.81 %     29.03
7       ::      76                        ::      19.05 %       96                               ::         50.79 %     31.75
8       ::      224                       ::      75.59 %       158                              ::         23.62 %     51.97
9       ::      467                       ::      82.75 %       426                              ::         66.67 %     16.08
10      ::      514                       ::      0.39 %        925                              ::         80.82 %     80.43
11      ::      1155                      ::      12.81 %       1183                             ::         15.54 %      2.74
12      ::      2683                      ::      31.02 %       2299                             ::         12.26 %     18.76
13      ::      5216                      ::      27.35 %       5194                             ::         26.81 %      0.54
14      ::      10544                     ::      28.71 %       10422                            ::         27.23 %      1.49
15      ::      26867                     ::      63.99 %       21037                            ::         28.4 %      35.59
16      ::      51510                     ::      57.2 %        51310                            ::         56.59 %      0.61
17      ::      95823                     ::      46.21 %       103183                           ::         57.45 %     11.23
18      ::      198669                    ::      51.57 %       195056                           ::         48.82 %      2.76
19      ::      357535                    ::      36.39 %       395765                           ::         50.97 %     14.58
20      ::      863317                    ::      64.66 %       731909                           ::         39.6 %      25.06
21      ::      1811764                   ::      72.78 %       1667578                          ::         59.03 %     13.75
22      ::      3007503                   ::      43.41 %       3562229                          ::         69.86 %     26.45
23      ::      5598802                   ::      33.49 %       6269961                          ::         49.49 %     16.0
24      ::      14428676                  ::      72.0 %        11491816                         ::         36.99 %     35.01
25      ::      33185509                  ::      97.8 %        27504184                         ::         63.94 %     33.86
26      ::      54538862                  ::      62.54 %       63833934                         ::         90.24 %     27.7
27      ::      111949941                 ::      66.82 %       113495584                        ::         69.12 %      2.3
28      ::      227634408                 ::      69.6 %        224580693                        ::         67.33 %      2.28
29      ::      400708894                 ::      49.28 %       453804297                        ::         69.06 %     19.78
30      ::      1033162084                ::      92.44 %       825924623                        ::         53.84 %     38.6
31      ::      2102388551                ::      95.8 %        1969361098                       ::         83.41 %     12.39
32      ::      3093472814                ::      44.05 %       4145832285                       ::         93.06 %     49.0
33      ::      7137437912                ::      66.18 %       6682030526                       ::         55.58 %     10.6
34      ::      14133072157               ::      64.53 %       14049401668                      ::         63.56 %      0.97
35      ::      20112871792               ::      17.07 %       28221647532                      ::         64.27 %     47.2
36      ::      42387769980               ::      23.36 %       44022721150                      ::         28.12 %      4.76
37      ::      100251560595              ::      45.89 %       85412760887                      ::         24.29 %     21.59
38      ::      146971536592              ::      6.94 %        193364673951                     ::         40.69 %     33.76
39      ::      323724968937              ::      17.77 %       315876858626                     ::         14.92 %      2.86
40      ::      1003651412950             ::      82.56 %       643143861650                     ::         16.99 %     65.58
41      ::      1458252205147             ::      32.63 %       1836301474982                    ::         67.01 %     34.38
42      ::      2895374552463             ::      31.67 %       3099961081281                    ::         40.97 %      9.3
43      ::      7409811047825             ::      68.48 %       5887202929472                    ::         33.86 %     34.62
44      ::      15404761757071            ::      75.13 %       14093166703784                   ::         60.22 %     14.91
45      ::      19996463086597            ::      13.67 %       30201532176581                   ::         71.68 %     58.01
46      ::      51408670348612            ::      46.11 %       44884294010167                   ::         27.57 %     18.54
47      ::      119666659114170           ::      70.06 %       99617204420010                   ::         41.56 %     28.49
48      ::      191206974700443           ::      35.86 %       229750447356991                  ::         63.25 %     27.39
49      ::      409118905032525           ::      45.35 %       401043185877867                  ::         42.48 %      2.87
50      ::      611140496167764           ::      8.56 %        814161270555782                  ::         44.62 %     36.06
51      ::      2058769515153876          ::      82.86 %       1319345329097142                 ::         17.18 %     65.67
52      ::      4216495639600700          ::      87.25 %       3760945352862053                 ::         67.02 %     20.23
53      ::      6763683971478124          ::      50.18 %       8219929160770636                 ::         82.52 %     32.34
54      ::      9974455244496707          ::      10.74 %       14236430186441562                ::         58.06 %     47.32
55      ::      30045390491869460         ::      66.79 %       21991831924581256                ::         22.08 %     44.71
56      ::      44218742292676575         ::      22.73 %       56172595859062496                ::         55.91 %     33.18
57      ::      138245758910846492        ::      91.85 %       94220023057453888                ::         30.76 %     61.1
58      ::      199976667976342049        ::      38.76 %       255212325192053440               ::         77.09 %     38.33
59      ::      525070384258266191        ::      82.17 %       426892909478600768               ::         48.11 %     34.06
60      ::      1135041350219496382       ::      96.9 %        1002629087575579392              ::         73.93 %     22.97
61      ::      1425787542618654982       ::      23.67 %       2206900063121315328              ::         91.42 %     67.75
62      ::      3908372542507822062       ::      69.5 %        3230525871167049216              ::         40.1 %      29.4
63      ::      8993229949524469768       ::      95.01 %       7484438930281590784              ::         62.29 %     32.72
64      ::      17799667357578236628      ::      92.98 %       17258083624034758656             ::         87.11 %      5.87
65      ::      30568377312064202855      ::      65.71 %       35350867246359666688             ::         91.64 %     25.93

Not even something unintentional ?

there is no pattern.
i can exactly tell you why:

The creator of the puzzle posted already, that he created a wallet and masked the keys to match in the key range with 0
Therefore 256 adresses have been generated and he just put as many 000 to fit in. So it is kinda random.
No rythm, no nothing involved.

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.

I also think that too.

Maybe some HD wallet with some specific parameters...

There should be an algorithm.

Yes. Thank you!

No, this looks like key-hunt cuda, therefore, there is no basekey.

The program generates x amount of random points within the given range, based on your GPU grid size.

In your example, 256x256 is your grid size so the program generates 65,536 random points. Now, from there the program starts adding to each random point, in a sequential manner, until the RKEY number is reached. Once the RKEY number is reached, the program generates 65,536 new random points, and repeats the process. In your example, 5 MKeys is the rekey number.

So from each random point, the program will check 76 sequential points from each random point, before a rekey. 5,000,000 / 65,536 = 76.

Make sense?

COMP MODE    : COMPRESSED
COIN TYPE    : BITCOIN
SEARCH MODE  : Single Address
DEVICE       : GPU
CPU THREAD   : 0
GPU IDS      : 0
GPU GRIDSIZE : 256x256
SSE          : YES
RKEY         : 5 Mkeys
MAX FOUND    : 65536
BTC ADDRESS  : 13zb1hQbWVsc2S7ZTZnP2G4undNNpdh5so
OUTPUT FILE  : Found.txt

Start Time   : Sun Mar  3 09:55:18 2024
Base Key     : Randomly changes on every 5 Mkeys
Global start : 20000000000000000 (66 bit)
Global end   : 3FFFFFFFFFFFFFFFF (66 bit)
Global range : 1FFFFFFFFFFFFFFFF (65 bit)

Can someone answer me one question? I'm having trouble understanding how RKEY works (I'm new). My guess is that it has a Base key then goes from there and tries 5m keys and then changes the base key to a random one within the range and goes through another 5m keys? Correct?

How about binary Tetris any pattern from the binary notations of the pks?

https://i.ibb.co/c6m2fTq/Screenshot-2024-03-03-at-13-11-49.png


https://i.ibb.co/8xJKNt0/Screenshot-2024-03-03-at-13-11-29.png


https://i.ibb.co/ySsySq7/Screenshot-2024-03-03-at-13-11-03.png

Thanks for the reply,  all I need now is to figure out which one from P1 and P2 is inverse,  definitely one of them is negative,  given that I know the original range from where I started my calculations,  it should be easy to work out the nearest point to one of the above points.
I understand that P1 could be a number like 600, then P2 could be a number like 50, having just 550 as their distance is enough on it's own if I can guess which one is my known scalar to solve one of the points.

@Digaran: are you not tired creating new accounts and talk to yourself? Why not substracting yourself from this thread?
stop acting like God or Satoshi Nakamoto, you are neither a Satoshi nor a Nakamoto but universes away from it. Please stop spamming the thread with nonsense. Two more users on the ignore list...

It could be an instance of a successful lattice attack on someone's wallet. Looks like a trail of transactions after the successful hack. I am not sure though.

I believe there is a formula that can solve all puzzles at once.  I'm not kidding.
Logarithms and polynomials are in play. But I can't prove it. It's a matter of belief for now.

The complexity is great. Maybe lifetime won't be enough

What do you know about math?  if you know how to solve a key by using pure math,  then this is for you if you know things.
We have 4 points and 4 scalar, 3 points are unknown but they do relate to all 4 scalar keys. Can you point out a hint as to how we can solve any of the 3 points?

Here are our 3 points
Here are 4 scalar
P1+P2= A4, P2-P1= P3, P3-A4= P2*2, P1-A4/2= P3/2.
Here is the trick, A1, A2 and A3 point to different public keys,  however if we subtract A1-1 from P1, subtract A2-1 from P2 and add the results,  we would get 2, which means P1 and P2 are close they are also close to P3 because half of A4 subtracted from P1 equals half of P3.  This is pure math,  but how can we solve any of the 3 points while we only have A4 and why A1, A2 and A3 behave similar to our 3 points?  They are in close range with each other but where are they exactly?

I see that I'm not the only one who made this table :-)

best way to search with keyhunt is to go for sectors of 5% each randomly.
Maybe starting from the end between 100%-95% and 95%-90% of the range.....