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Board Development & Technical Discussion
Re: the fastest possible way to mass-generate addresses in Python
by
BTCW
on 14/01/2024, 16:51:18 UTC

I was looking only for public key generation part

Here's a simplified script that generates compressed public keys from a given range of private keys:

Code:
import hashlib, sys
import gmpy2

# Constants as mpz
Gx = gmpy2.mpz('0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798', 16)
Gy = gmpy2.mpz('0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8', 16)
p = gmpy2.mpz('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F', 16)
n = gmpy2.mpz('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141', 16)

def private_key_to_public_key(private_key):
    Q = point_multiply(Gx, Gy, private_key, p)
    return Q

def point_multiply(x, y, k, p):
    result = (gmpy2.mpz(0), gmpy2.mpz(0))
    addend = (x, y)
   
    while k > 0:
        if k & 1:
            result = point_add(result, addend, p)
        addend = point_double(addend, p)
        k >>= 1

    return result

def point_double(point, p):
    x, y = point
    lmbda = (3 * x * x * gmpy2.powmod(2 * y, -1, p)) % p
    x3 = (lmbda * lmbda - 2 * x) % p
    y3 = (lmbda * (x - x3) - y) % p
    return x3, y3

def point_add(point1, point2, p):
    x1, y1 = point1
    x2, y2 = point2

    if point1 == (gmpy2.mpz(0), gmpy2.mpz(0)):
        return point2
    if point2 == (gmpy2.mpz(0), gmpy2.mpz(0)):
        return point1

    if point1 != point2:
        lmbda = ((y2 - y1) * gmpy2.powmod(x2 - x1, -1, p)) % p
    else:
        lmbda = ((3 * x1 * x1) * gmpy2.powmod(2 * y1, -1, p)) % p

    x3 = (lmbda * lmbda - x1 - x2) % p
    y3 = (lmbda * (x1 - x3) - y1) % p
    return x3, y3

def encode_base58(byte_str):
    __b58chars = '123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz'
    __b58base = len(__b58chars)
    long_value = gmpy2.mpz(int.from_bytes(byte_str, byteorder='big'))
    result = ''
    while long_value >= __b58base:
        div, mod = gmpy2.f_divmod(long_value, __b58base)
        result = __b58chars[int(mod)] + result
        long_value = div
    result = __b58chars[int(long_value)] + result

    # Add leading '1's for zero bytes
    nPad = 0
    for byte in byte_str:
        if byte == 0:
            nPad += 1
        else:
            break

    return __b58chars[0] * nPad + result

def public_key_to_hex(public_key, compressed=True):
    x_hex = format(public_key[0], '064x')[2:]  # Remove '0x' prefix
    if compressed:
        # Use '02' prefix if Y coordinate is even, '03' if odd
        return ('02' if public_key[1] % 2 == 0 else '03') + x_hex

def public_key_to_address(public_key, compressed=True):
    public_key_hex = ('02' if compressed else '04') + format(public_key[0], '064x')
    sha256_hash = hashlib.sha256(bytes.fromhex(public_key_hex)).digest()
    ripemd160_hash = hashlib.new('ripemd160', sha256_hash).digest()
    versioned_hash = (b'\x00' if compressed else b'\x04') + ripemd160_hash
    checksum = hashlib.sha256(hashlib.sha256(versioned_hash).digest()).digest()[:4]
    address_bytes = versioned_hash + checksum
    return encode_base58(address_bytes)

# Define the range
start_range = gmpy2.mpz('36893488147419132058')
end_range = gmpy2.mpz('36893488149419115809')

# Iterate through the range and generate Bitcoin Addresses (Compressed) and their Public Keys
for key in range(start_range, end_range + 1):
    public_key = private_key_to_public_key(key)
    bitcoin_address = public_key_to_address(public_key, compressed=True)
    public_key = public_key_to_hex(public_key)
    sys.stdout.write("\033c")
    sys.stdout.write("\033[01;33m")
    sys.stdout.write(f"\r[+] Private Key (dec): {key}\n[+] Bitcoin Address (Compressed): {bitcoin_address}\n[+] Public Key: {public_key}" + "\n")
    sys.stdout.flush()


Mobile phones typically run Android or iOS. Python can be run on both platforms, but there are some differences in compatibility..
For Android, you can use the QPython app or Termux to run Python scripts. On iOS, you might need to use apps like Pythonista or Pyto.
It may require a lot of CPU power and memory. Make sure your mobile phone can handle the computational requirements.
You can even translate this script into a mobile app  but I don't see the purpose of it on the phone. Neither the script will work as it should nor the phone.


Lovely. However "def public_key_to_address" behaves not right if "compressed=False". Would you mind taking a look at it?