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PKCS #1 is encryption using the RSA algorithm. PKCS #3 uses the Diffie-Hellman algorithms. It is how you exchange a key between two people. PKCS #5 covers passwords.
PKCS #6 is the extended certificate syntax. It describes the extra information like e-mail addresses within certificates. PKCS #7 covers the use of envelopes. An example is S/MIME.
PKCS #8 is for private key encryption. I will cover PKCS 9 through 15 next time around. Be ready for things such as Cryptoki.