MathDB

8

Part of 2022 Bangladesh Mathematical Olympiad

Problems(1)

2 NT problems in 1

Source: BdMO 2022 Secondary P8

4/12/2022
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.
number theory