Files
picoCTF/sum_o_primes/gen.py
Maxime Vorwerk d7b7c52cfa Sum-O-Primes
2024-07-31 16:06:24 +02:00

38 lines
678 B
Python
Executable File

#!python3
from binascii import hexlify
from gmpy2 import mpz_urandomb, next_prime, random_state
import math
import os
import sys
if sys.version_info < (3, 9):
import gmpy2
math.gcd = gmpy2.gcd
math.lcm = gmpy2.lcm
FLAG = open('flag.txt').read().strip()
FLAG = int(hexlify(FLAG.encode()), 16)
SEED = int(hexlify(os.urandom(32)).decode(), 16)
STATE = random_state(SEED)
def get_prime(bits):
return next_prime(mpz_urandomb(STATE, bits) | (1 << (bits - 1)))
p = get_prime(1024)
q = get_prime(1024)
x = p + q
n = p * q
e = 65537
m = math.lcm(p - 1, q - 1)
d = pow(e, -1, m)
c = pow(FLAG, e, n)
print(f'x = {x:x}')
print(f'n = {n:x}')
print(f'c = {c:x}')