A lower explicit threshold for Chen's theorem under GRH
Assume the Generalized Riemann Hypothesis (GRH). We show that every even integer $N \ge \exp(\exp(13.375))$ can be written as $N = p + P_2$, where $p$ is a prime and $P_2$ is either a prime or a product of two primes. The result is conditional on GRH and on Theorems 5, 6, 7 and Lemma 9 of Bordignon and Starichkova, Ramanujan J. 64 (2024), together with the auxiliary lemmas, Table 1 and display (6) that their Section 5.4 uses, at new parameter values; they obtain $\exp(\exp(14))$. It is not a new method: it is a re-choice of the parameters $u$ and $\alpha$ in their argument, combined with the…
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