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Tournament Of Towns
1992 Tournament Of Towns
(341) 3
(341) 3
Part of
1992 Tournament Of Towns
Problems
(1)
TOT 341 1992 Autumn O J3 odd sum of its digits
Source:
6/10/2024
Prove that for any positive integer
M
M
M
there exists an integer divisible by
M
M
M
such that the sum of its digits (in its decimal representation) is odd.(D Fomin, St Petersburg)
number theory
sum of digits
divisible