Quote:
Originally Posted by LarsNet
(this is an original discovery as far as i know while studying primes )

wow, you just discovered that if you take a number which is 1111...111 in binary and multiply it with about a third of it, you get 101010... Now, think about it viceversa, take any binary number which is a string of 1 (it can also be a string of 1 in any base) and divide it by 3 (which is binary is 11, but if you use other base, take 11 in that base, for example, in base ten, take eleven), and do the school division, with pencil and paper. What do you see?