MathDB
partition set M = {n, n + 1, ..., m}

Source: 2021 Saudi Arabia Training Lists p31 https://artofproblemsolving.com/community/c2758131_2021_saudi_arabia_training_tests

January 5, 2022
setpartitionSubsetscombinatorics

Problem Statement

Let nn be a positive integer. What is the smallest value of mm with m>nm > n such that the set M={n,n+1,...,m}M = \{n, n + 1, ..., m\} can be partitioned into subsets so that in each subset, there is a number which equals to the sum of all other numbers of this subset?
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