20210504, 14:24  #243 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{2}×13×113 Posts 
Is that two 3M+ gaps with no known boundaries or do you know some of the boundary primes?

20210504, 16:44  #244  
Dec 2008
you know...around...
5×131 Posts 
Quote:
Depending on your numbers and the distribution of my current workload I may sieve a little deeper myself. (Edit:) As preliminary info: the log of the numbers is about 223888, and I expect the gaps to be in the vicinity of 3.5M. Quote:
Yesterday I checked whether my PC still detects primes if presented to it. During the last two weeks there was only one prime (the one on the + side) while eight are expected on average. Last fiddled with by mart_r on 20210504 at 17:24 

20210505, 08:43  #245 
"Seth"
Apr 2019
2^{2}·71 Posts 
Couple of updates in April / May
Exciting news from Martin Raab about some new top 5 largest gaps coming later this year. Craig did it again! They submitted the third largest gap by merit a 38.5 merit record in a recent batch of 373#/210 updates Code:
14496 Loizides 2021 38.5122 1361120900593121*373#/210 6502 Seth Troisi improved the records 38162 and 49646. So there's only one gap under 50,000 with merit < 20. You can see this on the gap interval stats page or the merit graph We continue to submit new records and improvements at a breakneck pace; 17,500 so far this year! 
20210509, 18:51  #246 
Dec 2008
you know...around...
5×131 Posts 
One of my 3M+ gaps is final!
3397520 15.1751 224423#/1022332010701888326 The other is still pending, but will be >4M now. Until then, for good measure, here's a sub3M gap too: 2675288 11.9492 224423#/103083710730784202 I've attached a list of factors >10^{9} for both gaps, hope this helps a bit. 
20210510, 20:50  #247 
"Seth"
Apr 2019
434_{8} Posts 
I added a new graph of record by year
https://primegaps.cloudygo.com/graph...100000&by_year It's semiuniform (some years focused on some intervals more than others) so no big surprised. 2021 is probably the most nonuniform year (because of my work on 1511# and 2221# and Craig's focus on 2,000 to 20,000.  Also I need to change the website url (cloudygo.com belongs to another project of mine that I'm handing off). Any suggestions for URL: primes.dev? primeprimeprime.org? something else? 
20210516, 20:41  #248  
Einyen
Dec 2003
Denmark
6105_{8} Posts 
Quote:
Code:
224423#/1022332010701888326+0 is Lucas PRP! (866.5574s+0.0631s) 224423#/1022332010701888326+0 is 23PRP! (254.9320s+0.0579s) 224423#/1022332010701888326+0 is 73PRP! (256.8514s+0.0425s) 224423#/1022332010701888326+0 is 101PRP! (246.2541s+0.0482s) 224423#/1022332010701888326+0 is 151PRP! (244.7240s+0.0597s) 224423#/1022332010701888326+0 is 251PRP! (244.8238s+0.0570s) 224423#/1022332010701888326+3397520 is Lucas PRP! (1152.9400s+0.0693s) 224423#/1022332010701888326+3397520 is 23PRP! (259.7334s+0.0497s) 224423#/1022332010701888326+3397520 is 73PRP! (253.3976s+0.0505s) 224423#/1022332010701888326+3397520 is 101PRP! (242.9022s+0.0433s) 224423#/1022332010701888326+3397520 is 151PRP! (251.7479s+0.0627s) 224423#/1022332010701888326+3397520 is 251PRP! (251.6995s+0.0422s) Last fiddled with by ATH on 20210516 at 20:44 

20210518, 19:48  #249 
Dec 2008
you know...around...
5·131 Posts 
You're the best!
The other gap finally got empocketed this morning. 4397298 19.6406 224423#/1073719947302375864 Factors between 1e9 and 414e9 attached. primegapworks.org? I'm not quite in a creative phase right now... Last fiddled with by mart_r on 20210518 at 19:57 
20210518, 22:57  #250  
Einyen
Dec 2003
Denmark
3^{2}·349 Posts 
Quote:
Code:
224423#/103083710730784202+0 is Lucas PRP! (651.1654s+0.0394s) 224423#/103083710730784202+0 is 89PRP! (176.3418s+0.0385s) 224423#/103083710730784202+0 is 101PRP! (176.4062s+0.0380s) 224423#/103083710730784202+0 is 137PRP! (174.3276s+0.0405s) 224423#/103083710730784202+0 is 211PRP! (172.6725s+0.0415s) 224423#/103083710730784202+0 is 251PRP! (173.4967s+0.0422s) 224423#/103083710730784202+2675288 is Lucas PRP! (682.9142s+0.0402s) 224423#/103083710730784202+2675288 is 89PRP! (178.2460s+0.0426s) 224423#/103083710730784202+2675288 is 101PRP! (175.0109s+0.0395s) 224423#/103083710730784202+2675288 is 137PRP! (174.7313s+0.0679s) 224423#/103083710730784202+2675288 is 211PRP! (174.6078s+0.0398s) 224423#/103083710730784202+2675288 is 251PRP! (172.0729s+0.0398s) Last fiddled with by ATH on 20210518 at 23:00 

20210530, 08:51  #251 
"Seth"
Apr 2019
434_{8} Posts 
I slightly updated the server. On the primegaplist github I deleted the extra server branch and everything happens directly out of the master branch. I also updated the README file.
https://github.com/primegaplistproject/primegaplist  ATH thanks for verifying 2 of Martin's records. The last 3M+ gap still needs to be verified (by me or a volunteer) then I'll add the 3 records manually to the github project. 
20210530, 19:33  #252 
Einyen
Dec 2003
Denmark
3^{2}×349 Posts 
I was verifying the 4M+ gap as well, I'm probably 5075% done, but I'm on vacation and my computer at home is shut down due to a power outage. I will be home Tuesday evening.
Last fiddled with by ATH on 20210530 at 19:34 
20210602, 21:38  #253 
Jun 2003
Oxford, UK
3^{2}×5×43 Posts 
I've come back after a little time away to look at something else, but found this on day 1 of searching
542206 27.573 x*19867#/46410y Rather tasty, I would say. 
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