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arXiv · 2206.14067

Number of solutions to $a^x + b^y = c^z$, A Shorter Version

Reese Scott·Robert Styer
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Abstract

For relatively prime integers $a$ and $b$ both greater than one and odd integer $c$, there are at most two solutions in positive integers $(x,y,z)$ to the equation $a^x + b^y = c^z$. There are an infinite number of $(a,b,c)$ giving exactly two solutions.

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Reese Scott, Robert Styer. 2022-06-28. Number of solutions to $a^x + b^y = c^z$, A Shorter Version. https://arxiv.org/abs/2206.14067

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