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On the exponential Diophantine equation \(p^x+q^y=z^3\): theorems and conjectures

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Publication:2080001
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DOI10.1007/978-981-16-6890-6_52zbMath1496.11057OpenAlexW4226358044MaRDI QIDQ2080001

Ronald L. Aquino, Jerico B. Bacani

Publication date: 7 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-6890-6_52


zbMATH Keywords

exponential Diophantine equationFermat's last theoremtwin primesMihailescu's theorem


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)





Cites Work

  • ON THE DIOPHANTINE EQUATION $p^x+(p+1)^y=z^2$ WHERE $p$ IS A MERSENNE PRIME
  • Catalan’s Conjecture: Another old Diophantine problem solved
  • On The Solutions of The Equation (4^n)^x+p^y=z^2
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