Trillion-Scale Goldbach Verification on Consumer Hardware -novel Algorithm [pdf] (zenodo.org)

Author here. This is my first published paper - developed independently. Novel approach uses a fixed set of witness primes to reduce verification to O(1) per even. Full C# implementation on GitHub for anyone to run.

The repo (it looks like ~500 LOC of C# in a single file with no deps, cool): https://github.com/joshkartz/Fixed-Gear-Goldbach-Engine