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Author Topic: Bitcoin puzzle transaction ~32 BTC prize to who solves it  (Read 240624 times)
bestie1549
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October 13, 2023, 12:43:58 PM
 #3701

@Zahid888 and @nomachine and all other seed lovers, I have something for you.  https://www.bleepingcomputer.com/news/security/bounty-offered-for-secret-nsa-seeds-behind-nist-elliptic-curves-algo/
You guys are really talented and I'm sure you can come up with a script to brute force those seeds, don't forget to share the script.😉
that will not even be the case but the bounty alone is worth it if it would be paid in cryptocurrency but is the resources investment going to be covered with profits made afterwards? that is the real question here
Ovixx
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October 13, 2023, 11:48:02 PM
Last edit: October 14, 2023, 06:25:46 AM by Ovixx
 #3702

..........
You can also setup smaller range in the frame in this mammoth
Code:
# Configuration for the puzzle
puzzle = 130
compressed_public_key = "03633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852"  # Puzzle 130  
lower_range_limit =   680564733841876926926749214863536422911    #2 ** (puzzle - 1)
upper_range_limit =  738823525229305890094942779208630272000    #(2 ** puzzle) - 1
...........

@nomachine ... the first time I tried to see if it works for me, now I changed the search range and the constant prefix of the seed.
Thank's

https://www.talkimg.com/images/2023/10/14/RkTR9.gif
digaran
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October 14, 2023, 08:37:34 PM
 #3703

Code:
import gmpy2 as mpz
from gmpy2 import powmod

# Define the ec_operations function
def ec_operations(start_range, end_range, scalar_1, scalar_2, n, divide_1_by_odd=True, divide_1_by_even=True, divide_2_by_odd=True, divide_2_by_even=True):
    for i in range(start_range + (start_range%2), end_range, 2):
        # divide scalar 1 by odd or even numbers
        if i%2 == 0 and not divide_1_by_even:
            continue
        elif i%2 == 1 and not divide_1_by_odd:
            continue
        try:
            # calculate inverse modulo of i
            i_inv = powmod(i, n-2, n)

            # multiply the scalar targets by i modulo n
            result_1 = scalar_2 * i_inv % n
            result_2 = scalar_1 * i_inv % n

            # divide scalar 2 by odd or even numbers
            if i%2 == 0 and not divide_2_by_even:
                continue
            elif i%2 == 1 and not divide_2_by_odd:
                continue

            # subtract the results
            sub_result = (result_2 - result_1) % n

            # print results separately
            (f"{hex(result_1)[2:]}")
            (f"{hex(result_2)[2:]}")
            print(f"{i}-{hex(sub_result)[2:]}")

        except ZeroDivisionError:
            pass


if __name__ == "__main__":
    # Set the targets and range for the operations
    scalar_1 = 0x000000000000000000000000000000000000000af55fc59c335c8ec67e66df97
    scalar_2 = 0x000000000000000000000000000000000000000af55fc59c335c8ec67e66df8b

    n = mpz.mpz("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141")

    start_range = 2
    end_range = 257

    ec_operations(start_range, end_range, scalar_1, scalar_2, n)

I always wondered when I work with target +1, 2, 3 etc what would be the results, so now I need to wonder no more. There are some interesting results when we start adding to our target and then divide.

In the script above, if you start by scalar_1 +1 without changing scalar_2, running the script and only look at keys similar to n/2, n/4, n/6 etc, then keep adding to scalar_1 and run again to see where those n/? values  appear.

Note that when we don't know the actual 2 targets, we can always know the resulting keys, but when we change one target with a known key, then knowing the resulting keys would solve the key for us, that's what is needed, however there are ways and tricks to hit one previously unknown key in one of the new results if we keep changing our known key at scalar_1 or 2.


Something to work with.
Let scalar_1 be :  0x000000000000000000000000000000000000000af55fc59c335c8ec67e66df8b
Subtract this from it :  af00000000000000000000000
Result: put at scalar_2
0x0000000000000000000000000000000000000000055fc59c335c8ec67e66df8b

Now run and see the results, you will see  af00000000000000000000000  being divided, so whatever we subtract from our target ( scalar_1 ), the results of script above will show us that number being divided even if we don't know it's key.

Now since we can always know the resulting keys as long as the 2 targets are unknown and we already know the distance between them, but now I'm interested to find out more.

Example:

Subtracting this from puzzle 130,
0000000000000000000000000000000400000000000000000000000000000000
Result: (offset1)
0308360beeb0177961b04eccc33decdf63e23d205abc8ef6355d659d1313459ba7
Subtracting above from #130, result : (offset2)
0283aac9d18b994b94c0d267921573958682a061d033e89d2b0c4614c760755e60

Now what if we use offset1 and offset2 as our targets and do the divide and sub like the script above? If we could find a known key in the results, we can solve #130, or any private key. 😉


Chop chop, don't just stare and forget, also remember when you find the solution to solve any key, if you like your head to stay on your shoulders, hands off the people's coins. ey 😉

🖤😏
Ovixx
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October 16, 2023, 08:04:42 AM
 #3704

@nomachine - for another puzzle, do I need to change anything in the script other than keyrange and pubkey? Why am I asking you? Because, in order to test, I put the public key from #64 and a very small keyrange, between f7051f26b09112d4 and f7051f2ab09112d4 (17799667353283269332:17799667370463138516) and it is obvious that the search is done outside the keyrange, in decimal, from 10000000000000000000 to 29999999999999999999 or even greater.

https://www.talkimg.com/images/2023/10/16/RrO2l.gif
Baskentliia
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October 16, 2023, 12:50:44 PM
 #3705

PUZZLE SOLVED: Wed Oct 11 12:13:21 2023, total time: 13.47 sec
  • WIF:  -0000000000000000000000000000000000000000000000000022bd43c2e9354

nice catching again nomachine, is this programmable for 120th and up

Yes.
It takes about 3 minutes to start solving Puzzle 130 on my 12 Core - but will start.

Here is code for Puzzle130
Code:
import sys
import os
import time
import random
import hashlib
import gmpy2
from gmpy2 import mpz
from functools import lru_cache
import multiprocessing
from multiprocessing import Pool, cpu_count

# Constants
MODULO = gmpy2.mpz(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F)
ORDER = gmpy2.mpz(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141)
GX = gmpy2.mpz(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798)
GY = gmpy2.mpz(0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8)

# Define Point class
class Point:
    def __init__(self, x=0, y=0):
        self.x = x
        self.y = y

PG = Point(GX, GY)
ZERO_POINT = Point(0, 0)

# Function to multiply a point by 2
def multiply_by_2(P, p=MODULO):
    c = gmpy2.f_mod(3 * P.x * P.x * gmpy2.powmod(2 * P.y, -1, p), p)
    R = Point()
    R.x = gmpy2.f_mod(c * c - 2 * P.x, p)
    R.y = gmpy2.f_mod(c * (P.x - R.x) - P.y, p)
    return R

# Function to add two points
def add_points(P, Q, p=MODULO):
    dx = Q.x - P.x
    dy = Q.y - P.y
    c = gmpy2.f_mod(dy * gmpy2.invert(dx, p), p)
    R = Point()
    R.x = gmpy2.f_mod(c * c - P.x - Q.x, p)
    R.y = gmpy2.f_mod(c * (P.x - R.x) - P.y, p)
    return R

# Function to calculate Y-coordinate from X-coordinate
@lru_cache(maxsize=None)
def x_to_y(X, y_parity, p=MODULO):
    Y = gmpy2.mpz(3)
    tmp = gmpy2.mpz(1)

    while Y > 0:
        if Y % 2 == 1:
            tmp = gmpy2.f_mod(tmp * X, p)
        Y >>= 1
        X = gmpy2.f_mod(X * X, p)

    X = gmpy2.f_mod(tmp + 7, p)

    Y = gmpy2.f_div(gmpy2.add(p, 1), 4)
    tmp = gmpy2.mpz(1)

    while Y > 0:
        if Y % 2 == 1:
            tmp = gmpy2.f_mod(tmp * X, p)
        Y >>= 1
        X = gmpy2.f_mod(X * X, p)

    Y = tmp

    if Y % 2 != y_parity:
        Y = gmpy2.f_mod(-Y, p)

    return Y

# Function to compute a table of points
def compute_point_table():
    points = [PG]
    for k in range(255):
        points.append(multiply_by_2(points[k]))
    return points

POINTS_TABLE = compute_point_table()

# Global event to signal all processes to stop
STOP_EVENT = multiprocessing.Event()

# Function to check and compare points for potential solutions
def check(P, Pindex, DP_rarity, A, Ak, B, Bk):
    check = gmpy2.f_mod(P.x, DP_rarity)
    if check == 0:
        message = f"\r[+] [Pindex]: {mpz(Pindex)}"
        messages = []
        messages.append(message)
        output = "\033[01;33m" + ''.join(messages) + "\r"
        sys.stdout.write(output)
        sys.stdout.flush()
        A.append(mpz(P.x))
        Ak.append(mpz(Pindex))
        return comparator(A, Ak, B, Bk)
    else:
        return False

# Function to compare two sets of points and find a common point
def comparator(A, Ak, B, Bk):
    global STOP_EVENT
    result = set(A).intersection(set(B))

    if result:
        sol_kt = A.index(next(iter(result)))
        sol_kw = B.index(next(iter(result)))
        difference = Ak[sol_kt] - Bk[sol_kw]
        HEX = "%064x" % difference
        t = time.ctime()
        pid = os.getpid()  # Get the process ID
        core_number = pid % cpu_count()  # Calculate the CPU core number
        total_time = time.time() - starttime
        print(f"\033[32m[+] PUZZLE SOLVED: {t}, total time: {total_time:.2f} sec, Core: {core_number+1:02} \033[0m")
        print(f"\033[32m[+] WIF: \033[32m {HEX} \033[0m")
        with open("KEYFOUNDKEYFOUND.txt", "a") as file:
            file.write("\n\nSOLVED " + t)
            file.write(f"\nTotal Time: {total_time:.2f} sec")
            file.write("\nPrivate Key (decimal): " + str(difference))
            file.write("\nPrivate Key (hex): " + HEX)
            file.write(
                "\n-------------------------------------------------------------------------------------------------------------------------------------\n"
            )

        STOP_EVENT.set()  # Set the stop event to signal all processes

# Memoization for point multiplication
ECMULTIPLY_MEMO = {}

# Function to multiply a point by a scalar
def ecmultiply(k, P=PG, p=MODULO):
    if k == 0:
        return ZERO_POINT
    elif k == 1:
        return P
    elif k % 2 == 0:
        if k in ECMULTIPLY_MEMO:
            return ECMULTIPLY_MEMO[k]
        else:
            result = ecmultiply(k // 2, multiply_by_2(P, p), p)
            ECMULTIPLY_MEMO[k] = result
            return result
    else:
        return add_points(P, ecmultiply((k - 1) // 2, multiply_by_2(P, p), p))

# Recursive function to multiply a point by a scalar
def mulk(k, P=PG, p=MODULO):
    if k == 0:
        return ZERO_POINT
    elif k == 1:
        return P
    elif k % 2 == 0:
        return mulk(k // 2, multiply_by_2(P, p), p)
    else:
        return add_points(P, mulk((k - 1) // 2, multiply_by_2(P, p), p))

# Generate a list of powers of two for faster access
@lru_cache(maxsize=None)
def generate_powers_of_two(hop_modulo):
    return [mpz(1 << pw) for pw in range(hop_modulo)]

# Worker function for point search
def search_worker(
    Nt, Nw, puzzle, kangaroo_power, starttime, lower_range_limit, upper_range_limit
):
    global STOP_EVENT
    pid = os.getpid()  
    core_number = pid % cpu_count()
    #Random seed Config
    #constant_prefix = b''  #back to no constant
    #constant_prefix = b'\xbc\x9b\x8cd\xfc\xa1?\xcf' #Puzzle 50 seed - 10-18s
    constant_prefix = b'\xbc\x9b'
    prefix_length = len(constant_prefix)
    length = 8
    ending_length = length - prefix_length
    with open("/dev/urandom", "rb") as urandom_file:
        ending_bytes = urandom_file.read(ending_length)
    random_bytes = constant_prefix + ending_bytes
    print(f"[+] [Core]: {core_number+1:02}, [Random seed]: {random_bytes}")
    random.seed(random_bytes)  
    t = [
        mpz(
            lower_range_limit
            + mpz(random.randint(0, upper_range_limit - lower_range_limit))
        )
        for _ in range(Nt)
    ]
    T = [mulk(ti) for ti in t]
    dt = [mpz(0) for _ in range(Nt)]
    w = [
        mpz(random.randint(0, upper_range_limit - lower_range_limit)) for _ in range(Nt)
    ]
    W = [add_points(W0, mulk(wk)) for wk in w]
    dw = [mpz(0) for _ in range(Nw)]

    Hops, Hops_old = 0, 0

    oldtime = time.time()
    starttime = oldtime

    while True:
        for k in range(Nt):
            Hops += 1
            pw = T[k].x % hop_modulo
            dt[k] = powers_of_two[pw]
            solved = check(T[k], t[k], DP_rarity, T, t, W, w)
            if solved:
                STOP_EVENT.set()
                break
            t[k] = mpz(t[k]) + dt[k]  # Use mpz here
            T[k] = add_points(POINTS_TABLE[pw], T[k])

        for k in range(Nw):
            Hops += 1
            pw = W[k].x % hop_modulo
            dw[k] = powers_of_two[pw]
            solved = check(W[k], w[k], DP_rarity, W, w, T, t)
            if solved:
                STOP_EVENT.set()
                break
            w[k] = mpz(w[k]) + dw[k]  # Use mpz here
            W[k] = add_points(POINTS_TABLE[pw], W[k])

        if STOP_EVENT.is_set():
            break

# Main script
if __name__ == "__main__":
    os.system("clear")
    t = time.ctime()
    sys.stdout.write("\033[01;33m")
    sys.stdout.write(f"[+] [Kangaroo]: {t}" + "\n")
    sys.stdout.flush()

    # Configuration for the puzzle
    puzzle = 130
    compressed_public_key = "03633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852"  # Puzzle 130  
    lower_range_limit = 2 ** (puzzle - 1)
    upper_range_limit = (2 ** puzzle) - 1  
    kangaroo_power = puzzle // 8
    Nt = Nw = (2 ** kangaroo_power // puzzle) * puzzle + 8
    DP_rarity = 8 * puzzle
    hop_modulo = (puzzle // 2) + 8

    # Precompute powers of two for faster access
    powers_of_two = generate_powers_of_two(hop_modulo)

    T, t, dt = [], [], []
    W, w, dw = [], [], []

    if len(compressed_public_key) == 66:
        X = mpz(compressed_public_key[2:66], 16)
        Y = x_to_y(X, mpz(compressed_public_key[:2]) - 2)
    else:
        print("[error] pubkey len(66/130) invalid!")

    print(f"[+] [Puzzle]: {puzzle}")
    print(f"[+] [Lower range limit]: {lower_range_limit}")
    print(f"[+] [Upper range limit]: {upper_range_limit}")
    print("[+] [Xcoordinate]: %064x" % X)
    print("[+] [Ycoordinate]: %064x" % Y)

    W0 = Point(X, Y)
    starttime = oldtime = time.time()

    Hops = 0

    process_count = cpu_count()
    print(f"[+] [Using  {process_count} CPU cores for parallel search]:")

    # Create a pool of worker processes
    pool = Pool(process_count)
    results = pool.starmap(
        search_worker,
        [
            (
                Nt,
                Nw,
                puzzle,
                kangaroo_power,
                starttime,
                lower_range_limit,
                upper_range_limit,
            )
        ]
        * process_count,
    )
    pool.close()
    pool.join()

I put only 2 bytes as a constant - the rest will be randomized through all CPU cores, since we don't know what the seed for 130 is. . .
constant_prefix = b'\xbc\x9b'
constant_prefix = b'' is all random

ON the smaller puzzles it is easy to guess what the seed is. You need to restart and restart app and you will find out which is the fastest seed by repetition. The script will show exactly which seed and which core hit the WIF. You can experiment with different ones as you like.



FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'



I am getting error like this:

C:\Users\abc\Desktop>py 4.py
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Using  8 CPU cores for parallel search]:
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
multiprocessing.pool.RemoteTraceback:
"""
Traceback (most recent call last):
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 125, in worker
    result = (True, func(*args, **kwds))
                    ^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 51, in starmapstar
    return list(itertools.starmap(args[0], args[1]))
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Users\abc\Desktop\4.py", line 219, in search_worker
    with open("/dev/urandom", "rb") as urandom_file:
         ^^^^^^^^^^^^^^^^^^^^^^^^^^
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'
"""

The above exception was the direct cause of the following exception:

Traceback (most recent call last):
  File "C:\Users\abc\Desktop\4.py", line 277, in <module>
    results = pool.starmap(
              ^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 375, in starmap
    return self._map_async(func, iterable, starmapstar, chunksize).get()
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 774, in get
    raise self._value
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'

C:\Users\abc\Desktop>



help me bro

34Sf4DnMt3z6XKKoWmZRw2nGyfGkDgNJZZ
unclevito
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October 16, 2023, 01:31:09 PM
 #3706

PUZZLE SOLVED: Wed Oct 11 12:13:21 2023, total time: 13.47 sec
  • WIF:  -0000000000000000000000000000000000000000000000000022bd43c2e9354

nice catching again nomachine, is this programmable for 120th and up

Yes.
It takes about 3 minutes to start solving Puzzle 130 on my 12 Core - but will start.

Here is code for Puzzle130
Code:
import sys
import os
import time
import random
import hashlib
import gmpy2
from gmpy2 import mpz
from functools import lru_cache
import multiprocessing
from multiprocessing import Pool, cpu_count

# Constants
MODULO = gmpy2.mpz(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F)
ORDER = gmpy2.mpz(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141)
GX = gmpy2.mpz(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798)
GY = gmpy2.mpz(0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8)

# Define Point class
class Point:
    def __init__(self, x=0, y=0):
        self.x = x
        self.y = y

PG = Point(GX, GY)
ZERO_POINT = Point(0, 0)

# Function to multiply a point by 2
def multiply_by_2(P, p=MODULO):
    c = gmpy2.f_mod(3 * P.x * P.x * gmpy2.powmod(2 * P.y, -1, p), p)
    R = Point()
    R.x = gmpy2.f_mod(c * c - 2 * P.x, p)
    R.y = gmpy2.f_mod(c * (P.x - R.x) - P.y, p)
    return R

# Function to add two points
def add_points(P, Q, p=MODULO):
    dx = Q.x - P.x
    dy = Q.y - P.y
    c = gmpy2.f_mod(dy * gmpy2.invert(dx, p), p)
    R = Point()
    R.x = gmpy2.f_mod(c * c - P.x - Q.x, p)
    R.y = gmpy2.f_mod(c * (P.x - R.x) - P.y, p)
    return R

# Function to calculate Y-coordinate from X-coordinate
@lru_cache(maxsize=None)
def x_to_y(X, y_parity, p=MODULO):
    Y = gmpy2.mpz(3)
    tmp = gmpy2.mpz(1)

    while Y > 0:
        if Y % 2 == 1:
            tmp = gmpy2.f_mod(tmp * X, p)
        Y >>= 1
        X = gmpy2.f_mod(X * X, p)

    X = gmpy2.f_mod(tmp + 7, p)

    Y = gmpy2.f_div(gmpy2.add(p, 1), 4)
    tmp = gmpy2.mpz(1)

    while Y > 0:
        if Y % 2 == 1:
            tmp = gmpy2.f_mod(tmp * X, p)
        Y >>= 1
        X = gmpy2.f_mod(X * X, p)

    Y = tmp

    if Y % 2 != y_parity:
        Y = gmpy2.f_mod(-Y, p)

    return Y

# Function to compute a table of points
def compute_point_table():
    points = [PG]
    for k in range(255):
        points.append(multiply_by_2(points[k]))
    return points

POINTS_TABLE = compute_point_table()

# Global event to signal all processes to stop
STOP_EVENT = multiprocessing.Event()

# Function to check and compare points for potential solutions
def check(P, Pindex, DP_rarity, A, Ak, B, Bk):
    check = gmpy2.f_mod(P.x, DP_rarity)
    if check == 0:
        message = f"\r[+] [Pindex]: {mpz(Pindex)}"
        messages = []
        messages.append(message)
        output = "\033[01;33m" + ''.join(messages) + "\r"
        sys.stdout.write(output)
        sys.stdout.flush()
        A.append(mpz(P.x))
        Ak.append(mpz(Pindex))
        return comparator(A, Ak, B, Bk)
    else:
        return False

# Function to compare two sets of points and find a common point
def comparator(A, Ak, B, Bk):
    global STOP_EVENT
    result = set(A).intersection(set(B))

    if result:
        sol_kt = A.index(next(iter(result)))
        sol_kw = B.index(next(iter(result)))
        difference = Ak[sol_kt] - Bk[sol_kw]
        HEX = "%064x" % difference
        t = time.ctime()
        pid = os.getpid()  # Get the process ID
        core_number = pid % cpu_count()  # Calculate the CPU core number
        total_time = time.time() - starttime
        print(f"\033[32m[+] PUZZLE SOLVED: {t}, total time: {total_time:.2f} sec, Core: {core_number+1:02} \033[0m")
        print(f"\033[32m[+] WIF: \033[32m {HEX} \033[0m")
        with open("KEYFOUNDKEYFOUND.txt", "a") as file:
            file.write("\n\nSOLVED " + t)
            file.write(f"\nTotal Time: {total_time:.2f} sec")
            file.write("\nPrivate Key (decimal): " + str(difference))
            file.write("\nPrivate Key (hex): " + HEX)
            file.write(
                "\n-------------------------------------------------------------------------------------------------------------------------------------\n"
            )

        STOP_EVENT.set()  # Set the stop event to signal all processes

# Memoization for point multiplication
ECMULTIPLY_MEMO = {}

# Function to multiply a point by a scalar
def ecmultiply(k, P=PG, p=MODULO):
    if k == 0:
        return ZERO_POINT
    elif k == 1:
        return P
    elif k % 2 == 0:
        if k in ECMULTIPLY_MEMO:
            return ECMULTIPLY_MEMO[k]
        else:
            result = ecmultiply(k // 2, multiply_by_2(P, p), p)
            ECMULTIPLY_MEMO[k] = result
            return result
    else:
        return add_points(P, ecmultiply((k - 1) // 2, multiply_by_2(P, p), p))

# Recursive function to multiply a point by a scalar
def mulk(k, P=PG, p=MODULO):
    if k == 0:
        return ZERO_POINT
    elif k == 1:
        return P
    elif k % 2 == 0:
        return mulk(k // 2, multiply_by_2(P, p), p)
    else:
        return add_points(P, mulk((k - 1) // 2, multiply_by_2(P, p), p))

# Generate a list of powers of two for faster access
@lru_cache(maxsize=None)
def generate_powers_of_two(hop_modulo):
    return [mpz(1 << pw) for pw in range(hop_modulo)]

# Worker function for point search
def search_worker(
    Nt, Nw, puzzle, kangaroo_power, starttime, lower_range_limit, upper_range_limit
):
    global STOP_EVENT
    pid = os.getpid()  
    core_number = pid % cpu_count()
    #Random seed Config
    #constant_prefix = b''  #back to no constant
    #constant_prefix = b'\xbc\x9b\x8cd\xfc\xa1?\xcf' #Puzzle 50 seed - 10-18s
    constant_prefix = b'\xbc\x9b'
    prefix_length = len(constant_prefix)
    length = 8
    ending_length = length - prefix_length
    with open("/dev/urandom", "rb") as urandom_file:
        ending_bytes = urandom_file.read(ending_length)
    random_bytes = constant_prefix + ending_bytes
    print(f"[+] [Core]: {core_number+1:02}, [Random seed]: {random_bytes}")
    random.seed(random_bytes)  
    t = [
        mpz(
            lower_range_limit
            + mpz(random.randint(0, upper_range_limit - lower_range_limit))
        )
        for _ in range(Nt)
    ]
    T = [mulk(ti) for ti in t]
    dt = [mpz(0) for _ in range(Nt)]
    w = [
        mpz(random.randint(0, upper_range_limit - lower_range_limit)) for _ in range(Nt)
    ]
    W = [add_points(W0, mulk(wk)) for wk in w]
    dw = [mpz(0) for _ in range(Nw)]

    Hops, Hops_old = 0, 0

    oldtime = time.time()
    starttime = oldtime

    while True:
        for k in range(Nt):
            Hops += 1
            pw = T[k].x % hop_modulo
            dt[k] = powers_of_two[pw]
            solved = check(T[k], t[k], DP_rarity, T, t, W, w)
            if solved:
                STOP_EVENT.set()
                break
            t[k] = mpz(t[k]) + dt[k]  # Use mpz here
            T[k] = add_points(POINTS_TABLE[pw], T[k])

        for k in range(Nw):
            Hops += 1
            pw = W[k].x % hop_modulo
            dw[k] = powers_of_two[pw]
            solved = check(W[k], w[k], DP_rarity, W, w, T, t)
            if solved:
                STOP_EVENT.set()
                break
            w[k] = mpz(w[k]) + dw[k]  # Use mpz here
            W[k] = add_points(POINTS_TABLE[pw], W[k])

        if STOP_EVENT.is_set():
            break

# Main script
if __name__ == "__main__":
    os.system("clear")
    t = time.ctime()
    sys.stdout.write("\033[01;33m")
    sys.stdout.write(f"[+] [Kangaroo]: {t}" + "\n")
    sys.stdout.flush()

    # Configuration for the puzzle
    puzzle = 130
    compressed_public_key = "03633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852"  # Puzzle 130  
    lower_range_limit = 2 ** (puzzle - 1)
    upper_range_limit = (2 ** puzzle) - 1  
    kangaroo_power = puzzle // 8
    Nt = Nw = (2 ** kangaroo_power // puzzle) * puzzle + 8
    DP_rarity = 8 * puzzle
    hop_modulo = (puzzle // 2) + 8

    # Precompute powers of two for faster access
    powers_of_two = generate_powers_of_two(hop_modulo)

    T, t, dt = [], [], []
    W, w, dw = [], [], []

    if len(compressed_public_key) == 66:
        X = mpz(compressed_public_key[2:66], 16)
        Y = x_to_y(X, mpz(compressed_public_key[:2]) - 2)
    else:
        print("[error] pubkey len(66/130) invalid!")

    print(f"[+] [Puzzle]: {puzzle}")
    print(f"[+] [Lower range limit]: {lower_range_limit}")
    print(f"[+] [Upper range limit]: {upper_range_limit}")
    print("[+] [Xcoordinate]: %064x" % X)
    print("[+] [Ycoordinate]: %064x" % Y)

    W0 = Point(X, Y)
    starttime = oldtime = time.time()

    Hops = 0

    process_count = cpu_count()
    print(f"[+] [Using  {process_count} CPU cores for parallel search]:")

    # Create a pool of worker processes
    pool = Pool(process_count)
    results = pool.starmap(
        search_worker,
        [
            (
                Nt,
                Nw,
                puzzle,
                kangaroo_power,
                starttime,
                lower_range_limit,
                upper_range_limit,
            )
        ]
        * process_count,
    )
    pool.close()
    pool.join()

I put only 2 bytes as a constant - the rest will be randomized through all CPU cores, since we don't know what the seed for 130 is. . .
constant_prefix = b'\xbc\x9b'
constant_prefix = b'' is all random

ON the smaller puzzles it is easy to guess what the seed is. You need to restart and restart app and you will find out which is the fastest seed by repetition. The script will show exactly which seed and which core hit the WIF. You can experiment with different ones as you like.



FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'



I am getting error like this:

C:\Users\abc\Desktop>py 4.py
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Using  8 CPU cores for parallel search]:
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
multiprocessing.pool.RemoteTraceback:
"""
Traceback (most recent call last):
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 125, in worker
    result = (True, func(*args, **kwds))
                    ^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 51, in starmapstar
    return list(itertools.starmap(args[0], args[1]))
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Users\abc\Desktop\4.py", line 219, in search_worker
    with open("/dev/urandom", "rb") as urandom_file:
         ^^^^^^^^^^^^^^^^^^^^^^^^^^
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'
"""

The above exception was the direct cause of the following exception:

Traceback (most recent call last):
  File "C:\Users\abc\Desktop\4.py", line 277, in <module>
    results = pool.starmap(
              ^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 375, in starmap
    return self._map_async(func, iterable, starmapstar, chunksize).get()
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 774, in get
    raise self._value
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'

C:\Users\abc\Desktop>



help me bro


This is not my code but it looks like you are using windows and '/dev/urandom' is a linux function that is also available in Windows Subsystem Ubuntu so I think you are using a linux program.in windows.  I think a few pages back the creator of this program posted a version that does not use  '/dev/urandom' that should work in windows.
hari1987
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October 16, 2023, 02:54:58 PM
 #3707

can anyone kindly provide an example of public key subtraction code in python ?
Ovixx
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October 16, 2023, 03:34:41 PM
 #3708



it does not work under windows, if you do not use the WSL subsystem
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October 16, 2023, 06:14:45 PM
 #3709

can anyone kindly provide an example of public key subtraction code in python ?
Try this one.
Code:
import secp256k1 as ice

target_public_key = "032f3342152eff6aca5e7314db6d3301a28d6a90ddcfd189f96babadc2a053d392"
target = ice.pub2upub(target_public_key)
num = 1000  # number of times.
subtract = 1  # amount to subtract each time.

# Define the new generator point coordinates
new_generator = (new_x_coordinate, new_y_coordinate)  # Replace with actual coordinates

sustract_pub_new = ice.scalar_multiplication(subtract, new_generator)
res = ice.point_loop_subtraction(num, target, subtract_pub_new)

for t in range(num + 1):
    h = (res[t * 65:t * 65 + 65]).hex()
    hc = ice.to_cpub(h)
    data = open("data-base.txt", "a")
    data.write(str(hc) + "\n")
    data.close()

This will subtract 1G 1000 times from target, meaning if target is 2000, it will give you 1999, 1998, 1997... etc.

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October 16, 2023, 06:38:28 PM
Last edit: October 16, 2023, 07:46:59 PM by nomachine
 #3710

@nomachine - for another puzzle, do I need to change anything in the script other than keyrange and pubkey? Why am I asking you? Because, in order to test, I put the public key from #64 and a very small keyrange, between f7051f26b09112d4 and f7051f2ab09112d4 (17799667353283269332:17799667370463138516) and it is obvious that the search is done outside the keyrange, in decimal, from 10000000000000000000 to 29999999999999999999 or even greater.




Pindex is essentially an identifier for the points being processed and helps keep track of the progress of the search and identify points that could potentially solve the cryptographic puzzle. It's used to match points from different sets and determine if they share the same x-coordinate. Since these values are generated randomly, they may not always fall within the specified range, especially if the random number generation is not constrained.
The script employs a kangaroo twins hopping strategy to search for solutions. The hopping strategy involves adding a certain value to the x-coordinate of a point and then computing the next point in the sequence. Depending on the hopping value, it is possible for the point to move outside the defined range.


I am getting error like this:

C:\Users\abc\Desktop>py 4.py
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Using  8 CPU cores for parallel search]:
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
multiprocessing.pool.RemoteTraceback:
"""
Traceback (most recent call last):
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 125, in worker
    result = (True, func(*args, **kwds))
                    ^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 51, in starmapstar
    return list(itertools.starmap(args[0], args[1]))
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Users\abc\Desktop\4.py", line 219, in search_worker
    with open("/dev/urandom", "rb") as urandom_file:
         ^^^^^^^^^^^^^^^^^^^^^^^^^^
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'
"""

The above exception was the direct cause of the following exception:

Traceback (most recent call last):
  File "C:\Users\abc\Desktop\4.py", line 277, in <module>
    results = pool.starmap(
              ^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 375, in starmap
    return self._map_async(func, iterable, starmapstar, chunksize).get()
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 774, in get
    raise self._value
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'

C:\Users\abc\Desktop>



help me bro



Go again there and copy/paste script - it is updated several times. The new version has a Core list for each seed.

https://bitcointalk.org/index.php?topic=1306983.msg62978550#msg62978550

Use "cls" instead of  "clear" in Windows  Wink

p.s.
If someone has time (i'm sold out right now) , it wouldn't be a bad idea to make the same program in C++ with the same seed capabilities and to work above Puzzle 125 . . . It would work incomparably faster. Grin

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October 16, 2023, 06:41:02 PM
 #3711

I am searching for all 3 addresses from 1 hex range. please, if anyone can help.. we can do this for all addresses.
https://www.talkimg.com/images/2023/10/16/Rcs4o.gif
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October 17, 2023, 01:40:48 AM
 #3712

if you have a True randomness in your PC you will have possibility to have consciousness in your computer.

Not just me, every body with a moderm CPU and a good RNG algorithm in its OS (So every linux/windows)

Did you bothered in read what i quote from that page?

From: https://www.intel.com/content/www/us/en/developer/articles/guide/intel-digital-random-number-generator-drng-software-implementation-guide.html
Quote
The ES runs asynchronously on a self-timed circuit and uses thermal noise within the silicon to output a random stream of bits at the rate of 3 GHz

@nomachin WTF? You just ignore what i write and started to talking about something that is not related.

Artificial Intelligence, singularity, simulations? WTF?? What is the relationship between that and this TOPIC?


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digaran
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October 17, 2023, 03:32:57 AM
 #3713

Guys/gals, don't waste your time with random search, random mode etc, there is no such a thing as "random" all events follow a pattern,  we as humans have to interfere and change these patterns, by following logic and the power of our minds.

Instead of "hoping" for a "lucky" hit in a random search, start working on ways to find a stride for public key brute force.
Example:
Target = 127654 (unknown) we only know it's between 100,000 and 200,000.
So we subtract it from 200,000 - 127654 = 72,346.  Now we are certain our result is 100% smaller than 100,000 (start range), but since we don't know how much smaller, we'd just subtract it from half of start range, 50,000 - 72,346 = 22,346. And now we are 100% certain the result is smaller than 50,000 but we don't know how much, again we subtract it from 1/4 of start range 25,000 - 22,346 = 2,654.

Now tell me what do you see?
127654
2654
127654 - 2654 = 125000
What you need to work on is figuring out a stride to add to 125,000 till we reach our target, whether we add 13 at each step, 14 or 15, what happens when we reach 127698? Can we save the keys between 127654 and 127700 so when we are adding stride and land on one of the saved keys, we know right away and easily solve the key or not?

These things should be your priority, enough of running this tool/script and that tool/script, come up with an algorithm which doesn't require "random" and "luck" but requires math equations and numbers.

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October 17, 2023, 06:53:37 AM
 #3714

Guys/gals, don't waste your time with random search, random mode etc, there is no such a thing as "random" all events follow a pattern,  we as humans have to interfere and change these patterns, by following logic and the power of our minds.
.................

I still believe that the random mode is more effective than the subtraction that you have been mentioning for a while and you are only looking for a solution where there is none, but I wish you success. Everyone applies their own way. Let's see who can do it first, shall we?
...by the way, you do some stupid calculations in which only you see something....Do you somehow see the Eiffel Tower on the left side?
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October 17, 2023, 06:55:51 AM
Last edit: October 17, 2023, 11:49:51 AM by nomachine
 #3715

@nomachin WTF? You just ignore what i write and started to talking about something that is not related.

Artificial Intelligence, singularity, simulations? WTF?? What is the relationship between that and this TOPIC?

You keep insisting that the RNG must be safe and by some (security) rules.. .I assume written by the NSA itself?
You need slow and safe/secure (unpredictable) when you create and protect BTC,  not when you hack it.
The rule is that when you hacking there are no rules. Grin


Is all this a robbery/steal/theft attempt?


It is definitely a hacker attempt/attack.  Tell the truth and . . .run   Roll Eyes

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October 17, 2023, 08:36:16 AM
 #3716

@nomachine - for another puzzle, do I need to change anything in the script other than keyrange and pubkey? Why am I asking you? Because, in order to test, I put the public key from #64 and a very small keyrange, between f7051f26b09112d4 and f7051f2ab09112d4 (17799667353283269332:17799667370463138516) and it is obvious that the search is done outside the keyrange, in decimal, from 10000000000000000000 to 29999999999999999999 or even greater.




Pindex is essentially an identifier for the points being processed and helps keep track of the progress of the search and identify points that could potentially solve the cryptographic puzzle. It's used to match points from different sets and determine if they share the same x-coordinate. Since these values are generated randomly, they may not always fall within the specified range, especially if the random number generation is not constrained.
The script employs a kangaroo twins hopping strategy to search for solutions. The hopping strategy involves adding a certain value to the x-coordinate of a point and then computing the next point in the sequence. Depending on the hopping value, it is possible for the point to move outside the defined range.


I am getting error like this:

C:\Users\abc\Desktop>py 4.py
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Using  8 CPU cores for parallel search]:
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
'clear' is not recognized as an internal or external command,
operable program or batch file.
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Puzzle]: 130
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Kangaroo]: Mon Oct 16 15:48:30 2023
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
  • [Puzzle]: 130
  • [Lower range limit]: 680564733841876926926749214863536422912
  • [Upper range limit]: 1361129467683753853853498429727072845823
  • [Xcoordinate]: 633cbe3ec02b9401c5effa144c5b4d22f87940259634858fc7e59b1c09937852
  • [Ycoordinate]: b078a17cc1558a9a4fa0b406f194c9a2b71d9a61424b533ceefe27408b3191e3
multiprocessing.pool.RemoteTraceback:
"""
Traceback (most recent call last):
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 125, in worker
    result = (True, func(*args, **kwds))
                    ^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 51, in starmapstar
    return list(itertools.starmap(args[0], args[1]))
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Users\abc\Desktop\4.py", line 219, in search_worker
    with open("/dev/urandom", "rb") as urandom_file:
         ^^^^^^^^^^^^^^^^^^^^^^^^^^
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'
"""

The above exception was the direct cause of the following exception:

Traceback (most recent call last):
  File "C:\Users\abc\Desktop\4.py", line 277, in <module>
    results = pool.starmap(
              ^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 375, in starmap
    return self._map_async(func, iterable, starmapstar, chunksize).get()
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "C:\Program Files\Python311\Lib\multiprocessing\pool.py", line 774, in get
    raise self._value
FileNotFoundError: [Errno 2] No such file or directory: '/dev/urandom'

C:\Users\abc\Desktop>



help me bro



Go again there and copy/paste script - it is updated several times. The new version has a Core list for each seed.

https://bitcointalk.org/index.php?topic=1306983.msg62978550#msg62978550

Use "cls" instead of  "clear" in Windows  Wink

p.s.
If someone has time (i'm sold out right now) , it wouldn't be a bad idea to make the same program in C++ with the same seed capabilities and to work above Puzzle 125 . . . It would work incomparably faster. Grin



I tried to run it using Python on my brother's Windows, but it didn't work. I request a new update for Windows because the program is quite nice.

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October 17, 2023, 09:32:25 AM
 #3717

I still believe that the random mode is more effective than the subtraction that you have been mentioning for a while and you are only looking for a solution where there is none
We keep looking until we find one, if there was an easy to spot solution then we wouldn't be here at all, and my solution is not based on subtraction, it also includes division, however I'm working on a new method to multiply and divide 2 points, I know something impossible, right? At least I'm delusional by relying on mathematics, whilst you and a few others are delusional relying on "random" search without even realizing the probabilities of successfully landing on a target in a big range like 130 is beyond your comprehension.  You insist on a "luck" which doesn't exist, if you input 1 address and generate a random key and land on that 1 address, it's not called luck, God wanted it.

by the way, you do some stupid calculations in which only you see something....Do you somehow see the Eiffel Tower on the left side?

Yet I haven't seen you slapping me with these stupid calculations, proving me wrong and embarrassing me for everyone to see. ( wait there is a unicorn asking for directions for Champs-Élysées, let me give him an equation to solve for the address.) 😉🤣


Please learn how to quote and trim the unnecessary previous quotes, @everyone. Thanks

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nomachine
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October 17, 2023, 10:39:14 AM
Last edit: October 17, 2023, 11:24:45 AM by nomachine
 #3718

I'm delusional by relying on mathematics, whilst you and a few others are delusional relying on "random" search

It doesn't matter what method did you use if you succeed in your intention. And no matter how crazy the way may seem,
this isn't conceptually different from picking up someone's safe and finding its lock combination, then claiming the safe's contents for the sake of science.   Grin

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Legends_Never_Die
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October 17, 2023, 11:44:51 AM
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 #3719

this isn't conceptually different from picking up someone's safe and finding its lock combination, then claiming the safe's contents for the sake of science.   Grin
Except these safes are publicly reachable unlike private safes inside houses. Consider yourself a security team member working on security issues, your payment is in puzzle addresses, find a hole and grab your payment, if the designer was a professional programmer, he wouldn't have made this puzzle, he is a good scientist but not a good programmer, as early bitcoin clients were full of bugs/code related issues, but the concept was perfect and it is to this day.  Scientists act based on science, puzzle hunters act based on monetary incentive.

"They asked someone, imagine you are in the middle of the ocean and sharks are approaching, what will you do?"
"He said I will climb a tree"
-They said but there are no trees in the middle of the ocean-
"He said I know, but I don't have any other choice"
🤣

~dig
nomachine
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October 17, 2023, 11:56:01 AM
 #3720

Except these safes are publicly reachable unlike private safes inside houses.

ATMs are publicly reachable. Try to hack them.  I'm kidding...  
🤣
I understand the whole story.    Grin

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