20200320, 09:09  #23  
Jan 2018
5^{2} Posts 
Hi Seth, just to make sure I fully understand this:
I agree with pushing the prime gaps to the repository, but maybe if a new person/collective starts adding prime gaps, a message goes out so those gaps can be verified to see if they are correct? I am not sure I understand the second option, sorry! But since it probably involves lengthy verification time, I would prefer option 1 with the additional check on new submitters. Hope this is clear Kind regards Michiel Quote:


20200320, 09:19  #24  
"Seth"
Apr 2019
7×23 Posts 
Quote:
I'm also added a bunch of checks on submitting to the repository (checking merit and prime digits are correctly calculated, making sure more lines are added than deleted, making sure only one record per gap...) so the database should be even safer. I'll post something here when I've finished the coding but expect this to go live in the next week! 

20200320, 11:02  #25  
Jan 2018
5^{2} Posts 
Brilliant! Thank you very much sir!
Kind regards Michiel Jansen Quote:


20200508, 19:45  #26 
May 2018
192_{10} Posts 
Are the record gaps between twin primes also kept on your site, or is it just for regular prime gaps?

20200508, 20:20  #27  
"Seth"
Apr 2019
7·23 Posts 
Quote:
There are ~100k prime gaps, can you tell me the relative magnitude of other records? How many twin prime gaps? How many other categories might be worth recording (quad primes, quint primes, ...)? 

20200508, 20:38  #28 
"Oliver"
Sep 2017
Porta Westfalica, DE
2^{2}·73 Posts 
Good reading: http://www.opertech.com/primes/ktuples.html.

20200509, 12:46  #29  
Dec 2008
you know...around...
1075_{8} Posts 
Quote:
The number of entries would increase dramatically if the search is continued outside the range for first occurence gaps. A. Kourbatov has listed maximal gaps for tuplets up to septuplets here https://arxiv.org/abs/1309.4053 and has even results for gaps in decuplets in the OEIS, for example A202281. The probabilistic models for studying prime gaps in arithmetic progressions are similar to those for the usual prime gaps, that's why I think they are also quite relevant. My search lists on average a little over 200 entries per common difference q (for even q <= 2690). If this is too much data, one idea would be only to list the maximal gaps for each q, or only the top CSG value as I do in the other thread. Quote:
http://math.mit.edu/~primegaps/ 

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