Talk:Chen prime

message: * Does anyone know whether the sum of the reciprocals of the Chen primes diverges?  218.133.184.53 04:33, 30 July 2006 (UTC)
replies: text: The sum of the reciprocals of the Chen primes (1/2 + 1/3 + 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/19 + 1/23 + 1/29 + 1/31 + 1/37 + 1/41 + 1/47 + 1/53 + 1/59 + ...) diverges. Giftlite 03:03, 31 July 2006 (UTC)
replies: text: Thanks for reply,Giftlite. How did you know that? 218.133.184.53 03:25, 31 July 2006 (UTC)
replies: text: It's an unpublished proof. Giftlite 13:01, 31 July 2006 (UTC)
replies: text: Who proved it? Could we see the work?218.133.184.53 14:00, 31 July 2006 (UTC)
replies: text: It's not ready for publication, yet.  BTW, do you know how to publish on arXiv?  Giftlite 02:17, 1 August 2006 (UTC)
replies: text: I don't know. Did you really prove it? I'm not sure if it's an open question. It might as well be known. BTW, how did you prove it?218.133.184.53 06:48, 2 August 2006 (UTC)
replies: text: Assuming it is proven, where do you think it should be published for the math community to review?  As you already know, WP is not the place for original research. :) Giftlite 13:08, 2 August 2006 (UTC)
replies: text: I don't know whether your result is new or not. If you think you really proved it, paste on this page. Who cares!218.133.184.53 19:00, 2 August 2006 (UTC)

text: Thank you, PrimeHunter.  BTW, do you know anyone who can give me the permission to publish on arXiv? Giftlite 23:02, 7 August 2006 (UTC)
replies: text: No. If you haven't tried already then look here and try filling in the author registration form. PrimeHunter 00:45, 8 August 2006 (UTC)
thread_title: Reciprocals

message: In looking at the Highly Composite Numbers(HCN)OEIS A2182, I note that the prime number nearest to each is often a Chen prime, at least as far as I have the data.--Billymac00 02:30, 24 April 2006 (UTC)
replies: text: Interesting. By "nearest" do you mean - 1 or + 1? Or both? Anton Mravcek 21:35, 24 April 2006 (UTC)
replies: text: I believe by "nearest" he means the prime whose difference with the number in question has the smallest absolute value.  OmnipotentEntity 20:02, 15 June 2006 (UTC)
thread_title: Aside

message: Terence Tao and Ben Green proved in 2005 that there are infinitely many three-term arithmetic progressions of Chen primes. A Chen prime that could be at the second of the progression is called TG prime. For example, 5 is TG prime because (3,5,7) is a three-term progression of Chen primes. Accordingly, there are infinitely many TG primes.
The first few TG primes are 
 
5, 7, 11, 13, 17, 19, 23, 29,31), 37, 41, 47, 53, 59, 67, 71, 83, 89, 101
—The preceding unsigned comment was added by 218.133.184.93 (talk • contribs) 02:11, January 21, 2007  (UTC)
:"TG primes" are unsourced. I asked for a source on User_talk:218.133.184.93 with no reply. PrimeHunter 18:50, 21 January 2007 (UTC)
replies: text: I put the listed "TG primes" in the OEIS search box and the only result that came up was the Chen primes. Some mathematical concept will someday bear Tao and Green's names. I think it'll be something other than this. Anton Mravcek 22:45, 22 January 2007 (UTC)
replies: text: I wonder who Green-Tao theorem is named after ;-) PrimeHunter 12:53, 23 January 2007 (UTC)
thread_title: TG prime