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answer comments on New Monthly Thread: Bragging - Less Wrong
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Partially just to prove it is a real number with real properties, but mostly because I wanted a challenge and wasn't getting it from my current math classes (I'm currently in college, majoring in math). As much as I'd like to say it was to outdo the AI at math (since calculators can't do anything with the number 3^^^3, even take its mod 2), I had to use a calculator for all but the last 3 digits.
You mean you did it manually? You didn't write code to do the grunt work?
In the interest of challenging my mental abilities, I used as few resources as possible (and I suck at writing code). It took fewer than 3^^^3 steps, thankfully.
In that case, you might find writing a program to solve it for you an even better challenge of your mental abilities.