20200104, 01:33  #12 
Jun 2015
Vallejo, CA/.
2027_{8} Posts 

20200104, 13:35  #13  
Dec 2008
you know...around...
1302_{8} Posts 
Quote:
Code:
gap/30 mod 7 number of open residues 2, 5 0 (as you already noticed) 1, 6 1 3, 4 2 0 3 

20200104, 14:26  #14  
Jun 2003
Oxford, UK
2^{5}·3^{2}·7 Posts 
Quote:
Has anyone got a perl or an exe file that can take the results from Thomas11's program and make a list of first instances? I'll take this to 1e13 Last fiddled with by robert44444uk on 20200104 at 14:26 

20200105, 04:30  #15  
Jun 2015
Vallejo, CA/.
3·349 Posts 
Quote:
Because this search is being done exhaustively they should not be any C?C, just gaps not yet discovered like:25964 and 26074 

20200105, 08:20  #16 
Jun 2003
Oxford, UK
2^{5}·3^{2}·7 Posts 
At 2e13 the earliest I could find without a value appears to be 42981
The largest was 129489 16837633318811 These results should be considered provisional until I get a program to handle the results. 
20200106, 08:34  #17  
Feb 2003
5×383 Posts 
Quote:
Both assume that your master gap list is stored in the file "gaplist.txt" (an example file with gaps up to 1e12 is included). Usage is as follows: Code:
perl update_gaplist.pl logfile.txt Code:
perl check_gaplist.pl The screen output of the latter will look as the following: Code:
21764 (1)  unknown 22700 (6)  unknown 22807 (1)  unknown 23143 (1)  unknown 24100 (6)  unknown Last fiddled with by Thomas11 on 20200106 at 08:37 

20200106, 09:55  #18  
Jun 2003
Oxford, UK
11111100000_{2} Posts 
Quote:
I'll post the results when I get to 1e14  at the moment I am at 3e13 with 52048 as the smallest unknown. The largest gaps to 3e13 are: 111504 29595233745191 112105 26248083591881 113152 28184538475271 113467 25801593675041 114083 8547351574961 115224 15114108020021 118307 18317170605491 125692 18888105484811 129489 16837633318811 

20200106, 19:52  #19  
Dec 2008
you know...around...
2C2_{16} Posts 
Quote:
You might have a look at similar data from prime gaps (check successive maximal values of p in increasing gaps g and how many are g mod 3 = 1 or 2) or twin prime gaps (how many g/6 mod 5 = 1 or 4). I'd guess the bias for quad prime gaps should be even stronger. 

20200107, 04:45  #20  
Jun 2015
Vallejo, CA/.
3×349 Posts 
Quote:


20200107, 17:09  #21  
Jun 2003
Oxford, UK
2^{5}·3^{2}·7 Posts 
Quote:
Code:
140945 30709975578251 143014 68802225596051 143374 73374129557621 148435 48935654916221 151264 43785651890171 153447 47998980412211 159414 74498625237131 162830 55341128536691 Last fiddled with by robert44444uk on 20200107 at 17:09 

20200107, 18:37  #22  
Dec 2008
you know...around...
2·353 Posts 
Quote:
For ordinary prime gaps, this is A100180 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
GAPS BETWEEN PRIME PAIRS (Twin Primes)  rudy235  Prime Gap Searches  229  20211218 13:52 
Gaps between maximal prime gaps  Bobby Jacobs  Prime Gap Searches  52  20200822 15:20 
Prime Quadruplet Emirps  Trejack  Puzzles  11  20160422 19:27 
Gaps of Primes?  PawnProver44  Miscellaneous Math  10  20160410 19:32 
Top5 prime quadruplet found  gd_barnes  Riesel Prime Search  10  20071027 01:54 