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PhilipL comments on Fermi Estimates - Less Wrong
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Comments (104)
There are 3141 counties in the US. This is easy to remember because it's just the first four digits of pi (which you already have memorised, right?).
This reminds me of the surprisingly accurate approximation of pi x 10^7 seconds in a year.
This chart has been extremely helpful to me in school and is full of weird approximation like the two above.