D(n)-sextuple with odd elements
Problèmes ouverts — A. Dujella · 2026 · ★★★★★
Statement
Problem 5.11 (Dujella, 2026). Is there any non-zero integer $n$ and a $D(n)$-sextuple with all odd elements?
Remark. Petričević (2018) found examples of $D(n)$-quintuples with all odd elements: $\{-273375,-361375,-504063,833,1377\}$ is a $D(831406275)$-quintuple and $\{-9,59,6075,47291,555579\}$ is a $D(5117175)$-quintuple.
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Source & credits
Origin : Andrej Dujella, Open problems on Diophantine m-tuples and elliptic curves (26 juillet 2026), Problème 5.11
Reproduit à des fins pédagogiques non commerciales, avec attribution à l'auteur. Problème de recherche ouvert : aucune solution connue à ce jour.
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