n consecutives integers in a row , sum of any 3 successive is divided by ..
Source: Tournament Of Towns Spring 1999 Junior A Level p1
July 19, 2024
combinatoricsnumber theory
Problem Statement
consecutive positive integers are put down in a row (not necessarily in order) so that the sum of any three successive integers in the row is divisible by the leftmost number in the triple. What is the largest possible value of if the last number in the row is odd?(A Shapovalov)