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For question borderline with, or having application to, computer science. Consider also posting http://cs.stackexchange.com/ or http://cstheory.stackexchange.com/ instead of here, if appropriate.

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Is the set of generalized Fermat triples computable?

Yes. If there are solutions for $1\in\{a,b,c\}$, the equation has the form $a^m\pm b^n=1$, where $\log a/\log b$ is irrational, and decidability follows from strong enough effective lower bound on $|m …
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