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2 NT problems in 1

Source: BdMO 2022 Secondary P8

April 12, 2022
number theory

Problem Statement

Solve the following problems -
A) Find any 158158 consecutive integers such that the sum of digits for any of the numbers is not divisible by 17.17.
B) Prove that, among any 159159 consecutive integers there will always be at least one integer whose sum of digits is divisible by 17.17.