How to verify a credit card number in your head (why? because it is interesting you boring farts!)

question is, now we have a formulae for a valid credit card number, can someone give us the formulae for the correct security codes to go with them?
Unfortunately not. To generate the security code the bank takes your long card number, expiration date, service code, encrypts the whole lot using secret encryption keys (not sure how frequently they are regenerated, presumably relatively often) and then hash it into the 3 or 4 digits on the back of your card.
 
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