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That's one long-ass number

So I have the character, Vedya Ravenstone, who is a math whiz. At 12 years old she tested into a high school math class (Algebra II, which is basically pre-calculus), and in one scene I have her accessing an encrypted drive with a 64-digit1 prime number as a password. (Which, according to my research, is more than plausible; some people can even memorize 120-digit numbers in less than a minute!)

Out of curiosity about how secure this password would be, I had WolframAlpha generate a random 64-digit prime number, then entered that into howsecureismypassword.net, and that site said it would take a computer "8 quattuordecillion years" to crack that password. Which is a number I had to look up; a single quattuordecillion is a one followed by 45 zeroes. (In the US. In the UK, it's a 1 followed by 84 zeroes, for some reason.) Reasonably sure that the universe would go into heat death several hundred trillion years before a computer could crack Vedya's password. I just had to fucking gawk at the screen for 10 minutes after figuring this out.

I'm not quite sure how fast she'd be at doing math like prime numbers in her head, since I don't even know the process of figuring out such huge prime numbers, but I still aim to have her be good enough to be able to work out 11-digit prime numbers in her head, at least. Unless that's just too unrealistic. I need some kind of clue how that would work.

The best part of this is that it shows how badass she is at math without me having to do any fucking math.

~

1 = This amount of digits was chosen for being the maximum number of digits the VeraCrypt program allows for passwords.

This was cross-posted from https://fayanora.dreamwidth.org/1422485.html
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