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Integers in the row

Source: Switzerland Final Round 2021 P5

February 24, 2021
number theory

Problem Statement

For which integers n≥2n \ge 2 can we arrange numbers 1,2,…,n1,2, \ldots, n in a row, such that for all integers 1≤k≤n1 \le k \le n the sum of the first kk numbers in the row is divisible by kk?
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