Think of it like this: “naive 300“ would try and check if n minus any of the first 300 primes lands on another prime. For big n, it falls apart fast as prime gaps explode, and you start missing left and right. But here I am doing a small, constant set of primes, call it the “gear”… and for each even n, I check n – q for every q in that gear. Not just as a casual test, but as a full-blown, multi-threaded, checkpointed sweep with audited logs.