I routinely refer to Popperian Falsificationism as the resolution to Hume's Problem of Induction

I used to do the same thing and felt quite satisfied doing so. I thought it was settled. But then I started learning about Solomonoff Induction which I now believe is a better solution. If you are a hardcore Popperian Falsification fan, even after learning about Solomonoff Induction, I would suggest reading David Deutsch's The Beginning of Infinity. It pushes falsification as far as I've ever seen and even when you find yourself disagreeing, it's an interesting read.