Are there coprime integer solutions to: $$ \frac{x^n \pm y^n}{x \pm y}=z^m $$ with $n>5 , m>1$ and excluding $x=y=z=1$?z=0$?
I suppose the abc conjecture implies finitely many solutions.
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4 | z=0 | ||
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3 | not x=y=z=1 | ||
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Are there coprime integer solutions to: $$ \frac{x^n \pm y^n}{x \pm y}=z^m $$ with $n>5 , m>1$ ?and excluding $x=y=z=1$? I suppose the abc conjecture implies finitely many solutions. |
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