Multi-D(n) Diophantine triples
Problèmes ouverts — A. Dujella · 2026 · ★★★★★
Statement
Problem 5.12 (Dujella, 2026). Are there infinitely many Diophantine triples that are also $D(n_i)$-triples for $1<n_2<n_3<n_4$?
Remark. The following triples with the given property were found by Adžaga, Dujella, Kreso and Tadić (2018): $\{4,12,420\}$, $\{10,44,21252\}$, $\{4,420,14280\}$, $\{40,60,19404\}$, $\{78,308,7304220\}$, $\{4,485112,16479540\}$, $\{15,528,32760\}$.
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Source & credits
Origin : Andrej Dujella, Open problems on Diophantine m-tuples and elliptic curves (26 juillet 2026), Problème 5.12
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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