[dogsky]

Very interesting. So, just with the private key given p/q and the modulus is really possible to extract the private key? I saw the RSATool (https://github.com/ius/rsatool), but it needs an "n" and "d" parameter. So, how to use the output from this modified hertbeet exploit with RSATool since it only prints "Using Modulus", "Got result:" and "Found Prime" and all are much larger in comparison with parameters for RSATOOL. Thanks.

[quasque]

If you have modulus n and prime p, you can get the other prime q by dividing n by p. This gives you both primes, which is the input to RSA key generation (along with the public exponent which is usually 65537, but can be extracted from the X.509 certificate along with the modulus).