Thanks for asking!
White whale or not, I haven't really made progress since I wrote my senior thesis. My main accomplishment there was rediscovering Wheel Sieves 20 years after Paul Pritchard did. Though I only found that out a few years ago :-p My research game isn't great.
Wheels are a delightful way to think about the distribution of primes. They have lots of surprising properties. They are what allowed me to count the twin co-primes to the first N primes. I'd show the formula, it is pretty simple, but not sure how to write the product operator in text.