20210604, 20:25  #254  
Einyen
Dec 2003
Denmark
6150_{8} Posts 
Quote:
Code:
224423#/1073719947302375864+0 is Lucas PRP! (573.4657s+0.0420s) 224423#/1073719947302375864+0 is 31PRP! (158.3670s+0.0416s) 224423#/1073719947302375864+0 is 61PRP! (153.6002s+0.0383s) 224423#/1073719947302375864+0 is 89PRP! (151.6521s+0.0389s) 224423#/1073719947302375864+0 is 107PRP! (152.2096s+0.0395s) 224423#/1073719947302375864+0 is 127PRP! (152.4766s+0.0384s) 224423#/1073719947302375864+4397298 is Lucas PRP! (588.1537s+0.0406s) 224423#/1073719947302375864+4397298 is 31PRP! (155.4292s+0.0398s) 224423#/1073719947302375864+4397298 is 61PRP! (152.4790s+0.0404s) 224423#/1073719947302375864+4397298 is 89PRP! (154.3925s+0.0398s) 224423#/1073719947302375864+4397298 is 107PRP! (152.6616s+0.0402s) 224423#/1073719947302375864+4397298 is 127PRP! (154.4092s+0.0402s) Last fiddled with by ATH on 20210604 at 20:44 

20210604, 20:56  #255 
"Seth"
Apr 2019
367 Posts 
Thank you ATH for verifying these! I manually entered them (always a little scary) and pushed to the GitHub repository just now (commit 3dfd00de) I'll update the wiki site on next week 
20210606, 10:59  #256 
Dec 2008
you know...around...
2^{3}×5×17 Posts 
Many many thanks ATH!
My next gaps will be smaller in both number size and gap size. 
20210611, 08:55  #257 
"Seth"
Apr 2019
557_{8} Posts 
Couple of updates
Craig did it again! They submitted the fifth largest gap by merit a 38.2 merit record! They now have the 3rd, 4th, and 5th largest merit records! Martin added three Megagaps (gap > 1,000,000), thanks ATH for verifying these. We continue to submit new records and improvements at a breakneck pace; 23,130 so far this year! This is more records than we have remaining from 2017 (the highest other year). The average merit of these records is ~22.1! (the median merit of all records is 19.48) Last fiddled with by SethTro on 20210611 at 08:55 
20210619, 09:14  #258 
Jun 2003
Oxford, UK
7A5_{16} Posts 
It will be interesting to see how these facts on prime gaps change over the next year:
I expect the 10000th will soon be over 200000 
20210728, 15:19  #259 
Jun 2003
Oxford, UK
1957_{10} Posts 
This was the "most wanted" gap with no known pair of primes!
113326 11.5806 62857*9859#/4641057330 119222 will now be the smallest missing gap in the table. Last fiddled with by robert44444uk on 20210728 at 15:20 
20210806, 17:15  #260 
Jun 2003
Oxford, UK
11110100101_{2} Posts 
Continuing my good fortune  here is the lower prime of the largest merit 30 gap found to date
313842 31.886 343921*9923#/46410205340 This narrowly beats out Hans Rosenthal's 2015 find: 309030 31.782 1111111111111111111*9787#/(7#*641)  130308 
20210812, 12:56  #261 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{5}×5×37 Posts 
I have just submitted my first 30 merit gap:
Code:
90240 30.742 47193529 * 2999#/2303070 50488 to +39752 
20210909, 20:15  #262  
Dec 2008
you know...around...
2^{3}·5·17 Posts 
arXiv news
Quote:
I'm not quite convinced yet, even if I only understand rather little of the paper. Especially, on page 3, the set H = {0, 2, 6, 8, 12, 14, 18, 20} is not admissible. Omit the 14, then it works. Achieving the result quoted without ElliottHalberstamm or something similar would be quite big news. Any thoughts? 

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