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ld then tend to do is generate a symmetric key and use that to encrypt the message and then we would encrypt that symmetric key with the recipient's public key so we're still using a public private key encryption but we're using it just to encrypt a tiny piece of information which is the symmetric key which is much quicker and a lot more practical for long messages so what tends to happen is when you get a certificate one of the things in it is a public key and this is what this video is about we want to talk about how that public key actually comes about so when you generate a public key you generate a pair of keys which are based on prime numbers and things like that theyre actually quite a complicated process through a series of mathematical algorithms and interactions that generate these keys and when you do that you get a public key and a private key and in the terms of public key infrastructures we want to look at where these keys get created.