Since deriving a Twin Primes proof in 2016, I have sought to simplify the proof and make it available to a larger audience. I rewrote it a few months later, adding some info, but it was generally still not approachable enough in written form. A year later, I distilled the proof even further but didn’t deem it worth another rewrite at that time. That changed recently, when I understood another simplification in the process, one that should allow me to more rapidly, clearly, an