On the Diophantine equation $(2^x-1)(p^y-1)=2z^2$

DOI10.21136/CMJ.2021.0057-20OpenAlexW3133994288MaRDI QIDQ4959536

Ruizhou Tong

Publication date: 16 September 2021

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

Full work available at URL: https://doi.org/10.21136/cmj.2021.0057-20

zbMATH Keywords

Diophantine equationelementary methodpositive integer solution

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• A note on the diophantine equation \((a^n-1)(b^n-1)= x^2\)
• The Diophantine equation \((a^n-1)(b^n-1)=x^2\)
• A note on the exponential Diophantine equation \((a^n-1)(b^n-1)=X^2\)
• On the diophantine equation (a^n-1)(b^n-1)=x^2
• On the Diophantine Equation x 2n - y 2 = 1
• A note on the exponential Diophantineequation(𝑎𝑛−1)(𝑏𝑛−1) =𝑥2
• 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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