I finished Myst 15 years ago and I'm now ready for Riven. Do I need to remember the story of Myst to play Riven? Or are both games are independent?
There are definitely connections between the plots of the two games, but you do not need to have recently played Myst to enjoy most of Riven.
That's all I can give you from memory, but feel free to do your own research online. Be wary of spoilers though!