PPL 007 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.27
Prize Problem LedgerBoyer magic-square enigmasPPL 007Boyer enigma #1 · 3×3 magic square using at least seven squares

Permanent problem IDPPL 007

Reconfirm sponsorIndependentexistence

Recreational mathematics

Boyer enigma #1 · 3×3 magic square using at least seven squares

Construct a 3×3 magic square containing at least seven distinct squared integers that is not a rotation, reflection, or square multiple of the sole known seven-square example; a full square of nine distinct squares also resolves the classical problem.

magic squaresDiophantine equationsconstruction
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The problem

Construct a 3×3 magic square containing at least seven distinct squared integers that is not a rotation, reflection, or square multiple of the sole known seven-square example; a full square of nine distinct squares also resolves the classical problem.

Open since2010cash contest launched
Last checked2026.07.27Catalog verification
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Reward offers

Offer 01€1,000Christian Boyer
Personal offer

The first person to construct the requested square, or prove it impossible where the enigma permits, wins the listed cash prize and a bottle of champagne. The sponsor’s page says eight prizes remain, totaling €6,500; confirm submission logistics before relying on the offer.

Sponsor page remains online but its last recorded winner update is from 2017.

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Sources & reading