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On the extendibility of the Diophantine triple \(\{1,5,c\}\)

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Publication:1774790
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DOI10.1155/S0161171204305181zbMath1122.11017OpenAlexW1969181820MaRDI QIDQ1774790

Amal Al-Rashed, Fadwa S. Abu Muriefah

Publication date: 18 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53484


zbMATH Keywords

Pell equationsDiophantine m-tuple\(D(-1)\)-quadruples


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Cubic and quartic Diophantine equations (11D25)


Related Items

\(D(-1)\)-triples of the form \(\{1,b,c\}\) in the ring \(\mathbb Z[\sqrt{-t}\), \(t>0\)] ⋮ On \(D(-1)\)-quadruples ⋮ Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\)



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