A candidate for the ``Next Fermat Problem'' (Q1908694)
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scientific article; zbMATH DE number 851686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A candidate for the ``Next Fermat Problem'' |
scientific article; zbMATH DE number 851686 |
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A candidate for the ``Next Fermat Problem'' (English)
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5 March 1996
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Firmly rooted in Euler's work is the author's proposal for the ``Next Fermat Problem'': There exist \(n - 1\) mutually orthogonal Latin squares of order \(n\) if and only if \(n\) is a power of a prime. A case is made as to why this should become the Next Problem, and a historical sketch of this and other related conjectures and problems is provided. Generalizations to orthogonal hypercubes are also discussed.
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orthogonal Latin squares
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orthogonal hypercubes
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