P6

Part of 2024 PErA

Problems(1)

Not CRT, not dirichlet

Source: PErA 2024/6

For each positive integer

k

a_k

as the number obtained from adding

k

1

to the right of

2024

, all written in base

10

. Determine wether there's a

k

a_k

2024^{2024}

distinct prime divisors.