MathDB

2#

Part of 2020 Middle European Mathematical Olympiad

Problems(1)

sum of digits of consecutive numbers

Source: 2020 MEMO I-2

8/30/2020
We call a positive integer NN contagious if there are 10001000 consecutive non-negative integers such that the sum of all their digits is NN. Find all contagious positive integers.
number theorymemoMEMO 2020