It needs to be *iterated* once again, that Vinogradov showed in 1937 that all large enough odd numbers are sum of three primes. The current contribution of Helfgott merely aims at bridging the gap between *large enough* and *all number*.

This is an interesting problem. However where-as Vinogradov's proof introduced the *fundamentally new* idea of bilinear forms, Helfgott contribution is on a much smaller scale. While it contributes to the particular sub-field of analytic number theory concerned with explicit estimates, it most likely does not contribute to the larger field, and instead uses idea that were around for a long time.