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Is This Number Square Possible?

A heterosquare contains positive consecutive integers starting from 1 such that the rows, columns, and diagonals all add to different values.

Is it possible to make a heterosquare such that that the corners contain the digits 6, 7, 8, and 9?

This problem is part of the Brilliant.org Open Problems Group. The end goal for each open problem is to find a solution, and maybe publish it if it's a nice enough result! Even if we don't make it all the way there, we can have fun exploring unsolved problems and doing real research. This problem is related to an unsolved open problem, which you can read about here.

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