It's one of the most important open problems in number theory. If the abc conjecture were proved it would bring with it the proof of many other conjectures and theorems.
My other YouTube channels:
The Science Fiction Rock Experience ( the music show I produce):
https://www.youtube.com/@ScienceFictionRockExperience
My science and music channel::
https://www.youtube.com/@drdaviddarling
Science World (with Emrah Polat):
https://www.youtube.com/@ScienceWorld1
My website: https://www.daviddarling.info
My latest book is available here: https://oneworld-publications.com/work/the-biggest-number-in-the-world/