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It's so weird how hard it is for the brain to handle exponential growth. I was amazed that a 4-digit password can be cracked so quickly at 80ms a pop, but you're right. Just for the hell of it, here's how long it would take for different length passcodes for digits, digits plus letters (case insensitive), and digits plus letters (case sensitive):

    # characters  [0-9]         [0-9a-z]            [0-9a-zA-Z]
    1             0.8 seconds   2.9 seconds         5   seconds
    2             8   seconds   1.7 minutes         5.1 minutes
    3             1.3 minutes   1   hour            5.3 hours
    4             13  minutes   1.6 days            2   weeks
    5             2.2 hours     8   weeks           2.3 years
    6             22  hours     5.5 years           140 years
    7             1.3 weeks     200 years           9   thousand years
    8             13  weeks     7   thousand years  550 thousand years
    9             2.5 years     260 thousand years  34  million years
    10            25  years     9   million years   2   billion years


Does this consider the "too many incorrect attempts" lockout that iOS imposes though?


Nope, it's just 80ms multiplied by the number of possibilities.


According to Snowden, the NSA can brute force at the speed of over a trillion guesses a second, of course, they would need to be able to disable other security features first.




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