Sum of digits in arithmetic progression
Source: 44th International Tournament of Towns, Senior A-Level P5, Fall 2022 & Kvant Magazine No. 11-12 2022 M2724
February 16, 2023
number theoryTournament of Townssum of digitsKvant
Problem Statement
In an infinite arithmetic progression of positive integers there are two integers with the same sum of digits. Will there necessarily be one more integer in the progression with the same sum of digits?Proposed by A. Shapovalov