20210604, 20:25  #254  
Einyen
Dec 2003
Denmark
3,163 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
2^{2}·89 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...
3^{3}·5^{2} 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
101100100_{2} 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
11110100101_{2} 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
7A5_{16} 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
19·103 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^{4}×3^{2}×41 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...
3^{3}×5^{2} 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? 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
News  gd_barnes  No Prime Left Behind  253  20210815 05:26 
News  gd_barnes  Conjectures 'R Us  302  20210724 20:06 
P!=NP in the news  willmore  Computer Science & Computational Number Theory  48  20100919 08:30 
The news giveth, the news taketh away...  NBtarheel_33  Hardware  17  20090504 15:52 
Some news about Home Prime ?  MoZ  Factoring  6  20060228 12:02 