Uses equally-summed arithmetic progressions of odd numbers to prove that no 3x3 magic square of distinct squares exists.
(b) Consider the APsp 1(P 2 1 ,P n2 1 ),p 2(P 2 2 ,P n2 2 ),p ′ 1(P 1 2 ,(P 3 1 + 2− P 1 2)/2) and p′ 2(P 1 3 ,(P 3 2 + 2− P 1 3)/2)
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On Arithmetic Progressions and a Proof of the Nonexistence of Magic Squares of Squares
Uses equally-summed arithmetic progressions of odd numbers to prove that no 3x3 magic square of distinct squares exists.