All the information stored will be encrypted with the RSA private key.

The plain session key is then used to decrypt the session's public RSA key and the shared secret.

If the shared secret match, the login server will sign the user's public RSA key with its private key.

The RSA private key may have two representations.

The factored number was of a special form; the special number field sieve cannot be used on RSA keys.

Set and let be an RSA public key.

Let be a public RSA key where is -bits long.

Now, when we talk about an RSA key that is 1024 bits long, what that actually refers to is the two prime numbers.

RSA keys are typically 1024 to 2048 bits long.

The work was able to recover the factors of a 1024-bit RSA private key over a network in about 2 hours.