20200208, 05:47  #1 
"Matthew Anderson"
Dec 2010
Oregon, USA
2^{2}·149 Posts 
primes separated by eight
Hi Mersenneforum and all,
Contributed to Encyclopedia  see link to Online Encyclopedia of Integer Sequences Regards, Matt Last fiddled with by MattcAnderson on 20200208 at 05:48 Reason: added link 
20200210, 16:49  #2  
Nov 2003
2^{2}·5·373 Posts 
Quote:
I see no mathematics discussed here. I do see some mindless numerology. The mathematics behind Schinzel's conjecture and the BatemanHorn conjecture is well known, although a formal proof is lacking. If you would like to discuss the attempts to prove these conjectures, I welcome it. Otherwise, please take your trivial computations somewhere else. I am surprised that anyone would have the arrogance to submit such a trivial, wellknown sequence to the online encyclopedia. I certainly would not do it under my own name. Are you that hardup for recognition? 

20200211, 03:43  #3  
Nov 2016
100010111010_{2} Posts 
Quote:


20200211, 07:50  #4 
Nov 2003
2^{2}×5×373 Posts 

20200212, 07:04  #5 
Aug 2006
31×191 Posts 
Thank you, Matt, for your contribution. I do prefer to see existing sequences enriched than to see new, lessobviouslyinteresting sequences submitted. And fortunately this sequence has a number of mathematical features that should keep Silverman awake.
If you would like to appease him, I might suggest looking into some of its deeper features. To wit:

20200212, 08:54  #6  
Nov 2003
2^{2}×5×373 Posts 
Quote:
Let's also discuss how the parity problem prevents a formal proof based on sieve methods. Or the related problems of how limitations applied to showing that Lambda(N) * Lambda(N+8) can be used to form a Dirichlet series also fail to prove the result [at least, so far] . Or how Terry Tao's analysis on HardyLittlewood is relevant. [ https://terrytao.wordpress.com/page/1/] Or what is needed to reduce the bound found by the work of the Zhang, Maynard, and Tao: http://michaelnielsen.org/polymath1/...between_primes Or any math at all that is relevant. I am simply bemoaning the fact that in a subforum that is supposedly devoted to math [esp. number theory], we never see any. This doesn't need to be a research level discussion. But I never even saw a single post discussing the Zhang/Tao/.Maynard results. Or even a discussion of the BatemanHorn conjecture itself. All we see is blind computation. Part of the problem, of course, are the limitations of this medium. Formatting TeX can be a cumbersome process. Last fiddled with by R.D. Silverman on 20200212 at 08:55 Reason: pagination 

20200213, 04:49  #7  
Aug 2006
13441_{8} Posts 
Quote:
I made a thread here, please add your expertise as appropriate. https://mersenneforum.org/showthread.php?p=537469 

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