Use the Project Euler challenges as a way to learn about Scala. And github. And sbt.
Project Euler asks that you not publish answers. These are not answers. They are my explorations of Scala with the project's questions as motivation. If you can get this code to compile and give the correct answers faster than implementing the answers yourself I would be shocked. If this code shows you some minor detail that you've been missing on your way to getting the correct answer then IMO that's great, not cheating at all.