On the exponential Diophantine equation \((a^n-2)(b^n-2)=x^2\)

DOI10.1134/S0001434622050248zbMath1496.11058arXiv1801.04770WikidataQ115526127 ScholiaQ115526127MaRDI QIDQ2150623

Refik Keskin, Zafer Ṣiar

Publication date: 30 June 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04770

zbMATH Keywords

exponential Diophantine equationPell equationLucas sequence

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Cites Work

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• A note on the diophantine equation \((a^n-1)(b^n-1)= x^2\)
• The product of like-indexed terms in binary recurrences
• The Diophantine equation \((a^n-1)(b^n-1)=x^2\)
• ABC candies
• A note on the exponential Diophantine equation \((a^n-1)(b^n-1)=X^2\)
• Positive integer solutions of some Diophantine equations in terms of integer sequences
• A Remark on a Paper of Luca and Walsh
• My Numbers, My Friends
• On the Diophantine equations \((2^n-1)(6^n-1)=x^2\) and \((a^n-1)(a^{kn}-1)=x^2\)

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