MathDB

4

Part of 2016 Moldova Team Selection Test

Problems(1)

the decimal representation of $p^k$ contains $n$ consecutive equal digits.

Source: Moldova TST 2016

1/30/2023
Show that for every prime number pp and every positive integer n≥2n\geq2 there exists a positive integer kk such that the decimal representation of pkp^k contains nn consecutive equal digits.
number theory