[Shinoa]

I'm still not quite sure why this is secure though. You make it sound like you can compute the private key from the public key. Am I missing something?

That's only assuming you know p and q, and in turn t, without that it's practically impossible. In general you only release your public key and nothing else.

Also glad you enjoyed the tutoral

If all you have is the public key, how can you encrypt? You said that the formula to encrypt is (m^e) % n = c where n is p*q. How do you get n?

Wait my bad. During the key exchange you give e and n, and factoring n for p and q is super unrealistic because it's such a big number, meaning you can't really compute the private key