I would like a hint for the following Diophantine equation: $a^n-b^n=8$ with $a,b\in\mathbb{Z}$ and $n\in \mathbb{Z}_{\geq 2}$.
I know this can be done with estimates, but all my tries led nowhere. Help would be appreciated!
2026-03-31 21:50:24.1774993824
Diophantine equation $a^n-b^n=8$
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