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max no of 2015 consecutive int. , no sum of any 2 is divided by their difference

Source: JBMO Shortlist 2015 NT1

April 24, 2019
number theoryconsecutivedivisibleDifferencemaximumIntegers

Problem Statement

What is the greatest number of integers that can be selected from a set of 20152015 consecutive numbers so that no sum of any two selected numbers is divisible by their difference?
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