In Andrew Granville's paper: REFINEMENTS OF GOLDBACH’S CONJECTURE, AND THE GENERALIZED RIEMANN HYPOTHESIS
He said that:
"we show that if a strong form of Goldbach's conjecture is true then every even integer is the sum of two primes from a rather sparse set of primes. Finally we show that an averaged strong form of Goldbach's conjecture is equivalent to the Generalized Riemann Hypothesis"
Later on, he found that there were some errors in this paper, he wrote another paper: Corrigendum to" Refinements of Goldbach's conjecture, and the Generalized Riemann Hypothesis"
In the second paper, he modified some results of previous paper, but it is not clear to me if his original argument: " an averaged strong form of Goldbach conjecture is equivalent to GRH" still holds ?