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An easy number theory

Source: Bulgaria National Olympiad 2019

April 20, 2019
number theory

Problem Statement

Determine all positive integers d,d, such that there exists an integer k≥3,k\geq 3, such that One can arrange the numbers d,2d,…,kdd,2d,\ldots,kd in a row, such that the sum of every two consecutive of them is a perfect square.
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