Questions tagged [numeral-system]

Let $r$ be an integer greater than $1$, and consider the radix-$r$ numeral system. For any integer $a>1$ not divisible by $r$, we introduce the base-$r$ congruence speed of the (integer) tetration ...

I posed a conjecture which is a generalization of Conjecture on palindromic numbers My question is to find a proof or a disproof of it. I have put it in the comments section of the page of the OEIS ...

Assuming radix-$10$ (the well-known decimal numeral system), let $a,b,c,k,t \in \mathbb{Z}^+$ be such that $1 \neq a : a \not\equiv 0 \pmod{10}$, and $t \geq \min\{\nu_5(c), \nu_2(c)\}+ 2$ (where $\...