Sicheng Zhou

Position-Preserving Zero-Packet Optimization for the Binary Goldbach Exceptional Set

Let E(X) denote the number of even integers n ≤ X that are not representable as a sum of two primes. We obtain a new upper bound for the binary Goldbach exceptional set by refining the zero-packet optimization in the Pintz–Zhao framework. The key observation is that the usual red...