On sums of sparse prime subsets

Zhen Cui, Hongze Li, Boqing Xue

For arbitrary $c_0>0$, if $A$ is a subset of the primes less than $x$ with cardinality $\delta x(\log x{)}^{-1}$ with $\delta \ge (\log x{)}^{-c_0}$, then there exists a positive constant $c$ su…