Talk:Squares Ending in n Occurrences of m-Digit Pattern

Does this generalise to the general number base? --prime mover (talk) 21:11, 9 July 2020 (UTC)

I think it does, given that $a_m$ is coprime to that base, and the power is a proper divisor of the base (?).

To prove my point I have found $(20 \, 405 \, 351 \, 143_8)^2 = 420 \, 464 \, 055 \, 111 \, 111 \, 111 \, 111_8$, based on $3^2 = 11_8$.

The (?) is there because of the trivial $9..9^3 = 9..970..029..9$ --RandomUndergrad (talk) 05:11, 10 July 2020 (UTC)