MHB Finding Squares in a Square Box: n > 1

AI Thread Summary
The discussion focuses on identifying integers n greater than 1 for which an n x n square can be filled with distinct integers, ensuring that the sums of each row and column are perfect squares and all 2n sums are unique. Participants express confusion about the problem's complexity and request examples for clarity. An example is needed to illustrate the concept effectively. The challenge lies in both the mathematical constraints and the uniqueness of the sums. Clear examples would greatly aid understanding of this intricate problem.
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Determine all integers n> 1, for which in the square box of dimensions (n x n) you can enter different squares of integers, so that the sum of numbers in each row and in each column of the array is a square of an integer, and all the 2n sums are different.
 
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