On the odd prime solutions of the Diophantine equation \(x^y + y^x = z^z\)
Summary: Using the elementary method and some properties of the least solution of Pell's equation, we prove that the equation \(x^y + y^x = z^z\) has no positive integer solutions (\(x, y, z\)) with \(x\) and \(y\) being odd primes.
scientific article; zbMATH DE number 7021895