MathDB
year monster wakes up - 2017 Ecuador Juniors (OMEC) L2 p1

Source:

October 25, 2022
number theoryDigits

Problem Statement

An ancient Inca legend tells that a monster lives among the mountains that when wakes up, eats everyone who read this issue. After such a task, the monster returns to the mountains and sleeps for a number of years equal to the sum of its digits of the year in which you last woke up. The monster woke up for the first time in the year 234234. a) Would the monster have woken up between the years 20052005 and 20152015? b) Will we be safe in the next 1010 years?