What are the main ideas of Harald Helfgott's [proof](http://arxiv.org/abs/1305.2897) that all odd $n \geq 5$ is the sum of 3 primes?

<s>This is breaking news, but is there a general feeling that the proof is correct?</s>

<b>Edit:</b> As Greg Martin points out, the proof is expected to be right, so the second question is not necessary.

However, I still think that the first question is valid. This is a major development in Number Theory and it would be nice to see the MO community discussing the details. Judging by the number of views in 4 days and the votes to reopen, people seem interested, so please consider reopening.

If and when it reopens, I will edit this comment away to keep only the actual question.