MathDB

5

Part of 2007 Argentina National Olympiad

Problems(1)

sum of its digits is divisible by 31

Source: Argentina 2007 OMA L3 p5

5/12/2024
We will say that a positive integer is lucky [/i ]if the sum of its digits is divisible by 3131. What is the maximum possible difference between two consecutive lucky [/i ] numbers?
number theorysum of digits