Created
December 9, 2017 21:08
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import base64 | |
from Crypto.Util.number import * | |
from Crypto.PublicKey import RSA | |
def gcd(a,b): | |
while b != 0: | |
t = b | |
b = a % b | |
a = t | |
return a | |
# Pollard's p-1 algorithm | |
# https://en.wikipedia.org/wiki/Pollard%27s_p_%E2%88%92_1_algorithm | |
# this is really slow on stock python2, use either python3 or some JITer | |
def factor(n): | |
a = 2 | |
b = 2 | |
while True: | |
if b % 10000 == 0: | |
print(b) | |
a = pow(a, b, n) | |
p = gcd(a - 1, n) | |
if 1 < p < n: | |
print("FOUND " + str(p)) | |
return p | |
b += 1 | |
n = 149767527975084886970446073530848114556615616489502613024958495602726912268566044330103850191720149622479290535294679429142532379851252608925587476670908668848275349192719279981470382501117310509432417895412013324758865071052169170753552224766744798369054498758364258656141800253652826603727552918575175830897 | |
q = factor(n); | |
p = n/q | |
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