MathDB
Not CRT, not dirichlet

Source: PErA 2024/6

March 4, 2024
number theory

Problem Statement

For each positive integer kk, define aka_k as the number obtained from adding kk zeroes and a 11 to the right of 20242024, all written in base 1010. Determine wether there's a kk such that aka_k has at least 202420242024^{2024} distinct prime divisors.