A [Markoff triple](https://en.wikipedia.org/wiki/Markov_number) $(a,b,c)$ is a solution in positive integers to the equation
$$ a^2+b^2+c^2=3abc. $$
Frobenius famously conjectured that a given integer $c$ may appear at most once as the largest coordinate of a Markoff triple $(a,b,c)$, a conjecture often referred to as the *Unicity Conjecture*. This conjecture appears (I've been told) in the paper


G. Frobenius, Über die Markoffschen Zahlen, S. B. Preuss Akad. Wiss., Berlin, 1913, pp. 458–487.


I was wondering if anyone knows where to find a copy of this paper on the web; or if you have a copy, would it be possible for you to send me a PDF? It's long out of copyright, so that shouldn't be an issue. I tried a general web search, and Google Scholar, but no success. [I'd be even more appreciative of a translation into English, since my German reading skills are rusty; but probably that's too much to hope for.]



Frobenius' article and the Markoff number unicity conjecture
I found Frobenius's 1913 publication in the [Biodiversity Heritage Library.](https://www.biodiversitylibrary.org/item/126263#page/528/mode/1up) (Somehow Google Scholar does not index it.) You can view the paper online and download the pdf by submitting an email address.


![](https://i.stack.imgur.com/4Fqa5.jpg)
