title: Given a private key, is it possible to derive its public key?
body: <p>From whatever little I understand by reading various material, public-private key pair are the basis of asymmetric encryption and also something about choosing 2 prime numbers (which is roughly your private key) and multiplying them (which is roughly your public key). It appears to me that it is possible to generate a public key if you know the private key. Is it correct or I am mistaking something?</p>
  <p>What made me more confusing was that it is not possible to serialize the RSA key to XML with <em>only</em> private key (using .NET class RSACryptoServiceProvider). Not sure whether this limitation is intentional or not!</p>