Erdős problem 674 · problems.science

Are there any integer solutions to $x^xy^y=z^z$ with $x,y,z>1$ ?

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2 retained statements2415f78e850a

FormalConjectures/ErdosProblems/

674.lean

Retained formal statement2 of 2

There are in fact infinitely many integer solutions to $x^xy^y=z^z$ with $x,y,z>1$ .

FormalConjectures/ErdosProblems/674.leanErdos674.erdos_674.variants.infinite1 lineExact file

1Erdos674.solutionSet.Infinite

SolvedProof has a holelean4external proof

The proof uses `sorry`: part of the argument is written but not proved. Lean accepts the file; it does not accept the theorem.