20200826, 07:03  #210 
Apr 2010
Over the rainbow
43×59 Posts 
Here is the gaps in the 99e141e16 range. Nothing really interesting, I guess.

20200826, 15:39  #211  
Dec 2008
you know...around...
2×11×29 Posts 
Quote:
I'm at ~ 80% with my current range. Still no 4239, which is becoming a bit disturbing by now... Any range above 1.1e16 is still up for grabs, people. 

20200826, 17:40  #212 
Apr 2010
Over the rainbow
43·59 Posts 
Then attribute them to V. Gautier, please.

20200828, 15:06  #213 
Dec 2008
you know...around...
2·11·29 Posts 

20200828, 18:51  #214 
Apr 2010
Over the rainbow
43·59 Posts 
Just those two. after all, the other were a 'doublecheck'

20200913, 09:26  #215 
Dec 2008
you know...around...
2·11·29 Posts 
4239 has fallen. Twice.
Reserving 1.1e16 to 1.15e16. 
20200926, 10:14  #216 
Apr 2010
Over the rainbow
100111101001_{2} Posts 
Here are the gap over 4230 for 1e16 to 1.05 e16, 4239 has fallen!
What are the next gap we are missing? 
20200926, 19:33  #217 
Dec 2008
you know...around...
2·11·29 Posts 
Results 11e15
The next missing gaps are 4427, 4436, 4489, 4509, 4556.
(You won't find 4266, 4439, and 4532 in the attached list, but these have first occurence k between 11.1e15 and 11.2e15. Below 5000 there are 193 gaps still missing.) Also, Code:
# first occurence gaps by year discoverer 1998 1999 2008 2013 2019 2020 total  R.Rathbun 1115 1115 M.Wolf 1015 1015 R.Fischer 1219 1219 T.O.eSilva 701 701 R.Smith 152 152 T.Ritschel 305 305 firejuggler 4 4 8 firej./Raab 10 10 M.Raab 95 193 288 V.Gautier 26 26  total 1115 1015 1219 701 556 233 4839 Last fiddled with by mart_r on 20200926 at 20:09 Reason: see following post 
20200926, 19:45  #218 
Apr 2010
Over the rainbow
43×59 Posts 
The few gap I found this year are to be attributed to V.Gautier, if you can.
Last fiddled with by firejuggler on 20200926 at 19:58 
20200926, 20:14  #219 
Dec 2008
you know...around...
2×11×29 Posts 

20201108, 19:06  #220 
May 2018
2^{2}×53 Posts 
It is weird that we know all twin prime gaps up to 4426 in the numbers up to 1.05e15. However, we have searched up to 1.84467e18 for regular prime gaps, and we have still not found a gap of 716. That seems strange because twin primes are a lot rarer than prime numbers.

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