In 20012 Shinichi Mochizuki proved that the abc conjecture holds in the following historical paper:
Shinichi Mochizuki, Inter-universal Teichmüller Theory, Publications of the Research Institute for Mathematical Sciences,Volume 57, Number 1/2, (2021) Special Issue, https://ems.press/journals/prims/issues/1507.
We find some examples of triples of positive integers