The big open question is whether a set of 5 (permutation fair) 30-sided dice exists.
I’ve been working on that on and off since 2012. I picked it up again about a month ago and have made dramatic speed improvements to my search, but exhausting the whole space I’m searching will still take my computer an estimated 70 years.
Only 70 years? If that's the case, why isn't it solved yet? Just rent 4,000 computers and have it done in less than a week.