Will it be proven that nxn magic squares of distinct perfect square numbers exist for all n ≥ 4 by end of 2025?

Question

Like the famed "Parker Square", but with distinct digits. Examples exist for 4x4, 5x5, 6x6, maybe higher. 3x3 is conjectured impossible. It must be a square of distinct perfect square integers such that each row, column, and diagonal sums to the same number.

Inspired by https://www.youtube.com/watch?v=U9dtpycbFSY, where the latest Numberphile guest conjectures this is the case.

See also

(https://manifold.markets/embed/Conflux/will-a-3x3-magic-square-of-distinct)General policy for my markets: In the rare event of a conflict between my resolution criteria and the agreed-upon common-sense spirit of the market, I may resolve it according to the market's spirit or N/A, probably after discussion.

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Manifold Markets · Accepted Answer

Yes — resolved on Feb 17, 2025 by Manifold Markets prediction market.