Is there anything interesting at all number-theoretically about base 10? Binary is obviously special for a lot of reasons. Ternary has the smallest radix economy, being closest to e, but that's all I can think of off the top of my head for why it would be better than some other base. Poking through my list archive, Gosper's 2005 email "squarefree string draws Sierpinski triangle" talks about some interesting stuff you can do with the alternating sum of nonzero digits in balanced ternary. The BBP algorithm for pi uses base 16, but I don't understand why well enough to know if that's fundamental or whether there are spigot algorithms for pi in any base. There are probably special things about a base being prime. But is there anything interesting about base 10? On Sun, May 22, 2016 at 8:11 AM, Dan Asimov <dasimov@earthlink.net> wrote:
I'm the same way. Especially base-10 stuff puts me to sleep immediately, like drinking a cup of decaf coffee.
—Dan
On May 22, 2016, at 6:50 AM, Allan Wechsler <acwacw@gmail.com> wrote:
I generally don't like "base" sequences, but ...
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