A sextuple containing a strong triple
Problèmes ouverts — A. Dujella · 2026 · ★★★★★
Statement
Problem 3.11 (Dujella, 2026). Is there any rational Diophantine sextuple which contains a strong Diophantine triple?
Remark. By the recent paper Dujella, A., Kazalicki, M., Petričević, V.: Rational Diophantine sextuples with strong pair. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM 119, Article 36 (2025), there are infinitely many rational Diophantine sextuples which contain, e.g., a strong Diophantine pair $\{30464/2223, 22815/5168\}$.
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Source & credits
Origin : Andrej Dujella, Open problems on Diophantine m-tuples and elliptic curves (26 juillet 2026), Problème 3.11
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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