MathDB
sum of digits of one number divisible by 12 among 39 consecutive

Source: 2006 VMEO III Juniors 10.2 Vietnamese Mathematics e - Olympiad https://artofproblemsolving.com/community/c2463155_vmeo_iii

September 11, 2021
consecutivedividisibledividesnumber theory

Problem Statement

Prove that among 3939 consecutive natural numbers, there is always a number that has sum of its digits divisible by 12 12. Is it true if we replace 3939 with 3838?
Back to ProblemsView on AoPS