20200108, 17:22  #23 
Jun 2003
Oxford, UK
3×5^{4} Posts 
Now at 1.4e14 and still no 52048. The next low numbers are 52102, 53836.
The largest gaps are Code:
162830 55341128536691 170635 135444915341621 195044 92944027480721 
20200109, 12:52  #24 
Feb 2003
771_{16} Posts 
Note that the Perl scripts for manipulating the gap results use a "hard coded" upper limit of 200000 for the gap length. So you'll need to adjust this, once you find even larger gaps.

20200110, 08:47  #25  
Jun 2003
Oxford, UK
3×5^{4} Posts 
Quote:
Code:
162830 55341128536691 163212 172271073415871 164543 142566888001841 169106 196472319482471 170635 135444915341621 175448 165701382062261 177027 179264456865881 180082 175934192636591 195044 92944027480721 

20200110, 22:18  #26 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
1211_{16} Posts 
Running from 5e14 to 8e14.

20200111, 07:48  #27 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
1001000010001_{2} Posts 

20200111, 18:11  #28 
Jun 2015
Vallejo, CA/.
7·137 Posts 
Perhaps we should try to define a column of "merit" for the gaps between Quadruplet Primes.
According to HardyLittlewood, we would expect a density of Quadruplets consistent with this Formula: =4.151180864…∫2𝑁𝑑𝑥′/(log𝑥′)4 (Integral Logarirthm from 2 to x) 
20200111, 20:54  #29 
May 2018
2^{2}×47 Posts 
I find it interesting that a lot of the first instances of the small gaps are just over 1000000. Out of 11 possible gaps from 1 to 15, there are 5 gaps that have the first occurrence between 1000000 and 1200000.

20200111, 21:28  #30 
Jun 2015
Vallejo, CA/.
7×137 Posts 
Actually 6 exceed 1,000,000 {1,4,6,10,14,15} but between 1 e6 and 1.2 e6 there are only 5
Last fiddled with by rudy235 on 20200111 at 21:48 
20200112, 01:15  #31 
Jun 2015
Vallejo, CA/.
7·137 Posts 
Actually 6 exceed 1,000,000 {1,4,6,10,14,15} but between 1 e6 and 1.2 e6 there are only 4

20200112, 07:42  #32 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
5^{3}×37 Posts 
Robert, can you please post by eob tomorrow your gaplist.txt file. This will allow me to run the script update on your latest file.

20200112, 08:49  #33  
Jun 2003
Oxford, UK
753_{16} Posts 
Quote:
I reached 3e14 this morning, so I expect to get to 5e14 sometime on Tuesday, and I'll post then. In the meanwhile, at 3e14, the smallest nonrecorded gap is still 52048, and the next few also the same, 52102, 53836. Largest gaps are now Code:
180082 175934192636591 180083 246762443994551 180267 228767376933281 181948 228186907139291 188433 284010274084541 195044 92944027480721 

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