Rational sextuple with two integers
Problèmes ouverts — A. Dujella · 2026 · ★★★★★
Statement
Problem 3.1 (Dujella, 2026). Is there any rational Diophantine sextuple with at least two integer elements?
Remark. There are infinitely many rational Diophantine sextuples with at least one integer element. One such sextuple is $\{34440, 23001/280, 840/68921, 1121/11480, 19383/1640, 2530/287\}$ found by Piezas (2019).
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Source & credits
Origin : Andrej Dujella, Open problems on Diophantine m-tuples and elliptic curves (26 juillet 2026), Problème 3.1
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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