(a) Consider the APsp 1(P 2 1 ,P n2 1 ),p 2(P 2 2 ,P n2 2 ),p ′ 1(P 3 1 + 2,(P 1 2 − P 3 1)/2) and p′ 2(P 3 2 + 2,(P 1 3 − P 3 2)/2)

(It is clear, from (16), equation (20), that one of these cases will hold for every±D 2

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math.GM · 2025-10-09 · unverdicted · novelty 3.0

Uses equally-summed arithmetic progressions of odd numbers to prove that no 3x3 magic square of distinct squares exists.

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On Arithmetic Progressions and a Proof of the Nonexistence of Magic Squares of Squares math.GM · 2025-10-09 · unverdicted · none · ref 1
Uses equally-summed arithmetic progressions of odd numbers to prove that no 3x3 magic square of distinct squares exists.