## 9 comments on “Twin Prime Day! (Or why theorems in analytic number theory are like buses)”

1. Quite a week for math (or number theory at least)! 🙂

2. Oh, really? How do you express 7 as the sum of three odd primes?

Thought so.

3. @Anil – you missed the critical words “at most”. (You can write it as the sum of one odd prime: 7.)

Thinking about it with this in mind though, 7 was an unnecessarily large limit, so I’ve edited the post.

4. Richard, my point is, that is not what the paper claims to prove. It proves that every odd number is a sum of three primes (not necessarily three _odd_ primes). I am not sure how you go from that to “sum of at most three odd primes”.

5. No, I agree with Anil – these “at most”s are getting in the way. I’ve amended the post. Thanks.

6. I’m having trouble with two statements of the weak Goldbach conjecture and whether they are equivalent.

– Does the proof that “every odd integer N greater than 5 is the sum of three primes” imply that “all odd integers greater than 7 are the sum of three odd primes”?
– If so, is there an intuitive way to explain how this is so?
– If not, why do people call both the weak Goldback conjecture, and does the “greater than 7” version remain unproven?

The question with more detail and some discussion is here on Google+: