On the odd prime solutions of the Diophantine equation \(x^y + y^x = z^z\)

DOI10.1155/2014/186416zbMath1470.11053OpenAlexW1594774501WikidataQ59035875 ScholiaQ59035875MaRDI QIDQ1722298

Yuanyuan Deng, Wen Peng Zhang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/186416

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (1)

Complete solution of the Diophantine equation $x^y+y^x=z^z$

Cites Work

• On the Diophantine equation \(y^x-x^y=z^2\)
• Computer verification of the Ankeny--Artin--Chowla Conjecture for all primes less than $100000000000$
• ON THE DIOPHANTINE EQUATION ax^y + by^z + cz^x = 0
• On the equation \(y^x\pm x^y=z^2\)
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