I solved the last 8 digits of 3^^^3 (they're ...64,195,387). Take that ultrafinitists!
That's awesome. Why did you do this? (ie. Did you get to publish it someplace...)
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.
In an attempt to encourage more people to actually do awesome things (a la instrumental rationality), I am proposing a new monthly thread (can be changed to bi-weekly, should that be demanded). Your job, should you choose to accept it, is to comment on this thread explaining the most awesome thing you've done this month. You may be as blatantly proud of you self as you feel. You may unabashedly consider yourself the coolest freaking person ever because of that awesome thing you're dying to tell everyone about. This is the place to do just that.
Remember, however, that this isn't any kind of progress thread. Nor is it any kind of proposal thread.This thread is solely for people to talk about the awesomest thing they've done all month. not will do. not are working on. have already done. This is to cultivate an environment of object level productivity rather than meta-productivity methods.
So, what's the coolest thing you've done this month?