Talk:Power of 2^10 Minus Power of 10^3 is Divisible by 24

Recall we moved this from declaring that the difference was divisible by $3$, which was an extremely weak declaration.

It's worth pointing out that if $n > 1$, then $2^{10 n} - 10^{3 n}$ is actually divisible by $192$.

Wondering whether to add that as a corollary. --prime mover (talk) 14:26, 21 March 2022 (UTC)


 * But then even that's not particularly profound, because in fact (unless my mental arithmetic and intuition fail me) $2^{10 n} - 10^{3 n}$ is actually divisible by $3 \times 2^{3 n}$. Very little there to write home about. --prime mover (talk) 14:30, 21 March 2022 (UTC)