An Explicit Ramsey Bound for de Polignac Numbers

This paper establishes that the set of de Polignac numbers is a $\Delta_r^\star$ set with an explicitly computable bound $r = \exp(\mathcal{O}(50))$ and demonstrates that the natural numbers can be covered by a finite union of scaled de Polignac numbers determined by a set of size at most $2^{50\cdot \prod_{i=1}^{49}p_i}$.

Original authors: Sayan Goswami