3 ms·

Is there a number which can be written in base 2,3,4,5,6 using only 0 and 1? What's mind blowing here is that if you ask for base 2, 3, 4 the answers are trivi

by chx 9y ago

Is there a number which can be written in base 2,3,4,5,6 using only 0 and 1? What's mind blowing here is that if you ask for base 2, 3, 4 the answers are trivial but for bases 2,3,4,5 somehow you get 82000 and we do not know whether there is another and for 6 it's unknown.

mejin 9y ago
Am I missing something? the number 1 is 1 in all of those bases and therefore can be written using 0 (0 times) and 1 (1 time).
- klodolph 9y ago
  Sometimes mathematicians forget to say "non-trivial", that's what you're missing.
- adenadel 9y ago
  Often in mathematics, we look for the nontrivial solutions to questions like this.