## 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. Anil Das on said:

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. Anil Das on said:

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. jake p on said:

he said at most three primes man.

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

7. 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+:
8. 