On $abc$ triples of the form $(1,c-1,c)$

Elise Alvarez-Salazar, Alexander J. Barrios, Calvin Henaku +1

By an $abc$ triple, we mean a triple $(a,b,c)$ of relatively prime positive integers $a,b,$ and $c$ such that $a+b=c$ and $\mathrm{rad}(abc)<c$, where $\mathrm{rad}(n)$…