20191115, 16:22  #111 
May 2018
195_{10} Posts 

20191115, 16:56  #112  
Dec 2008
you know...around...
2·13·23 Posts 
Quote:
Hope to see a 42Merit gap from you soon 

20200102, 10:01  #113 
Jun 2003
Oxford, UK
11101101010_{2} Posts 
No 42 level gap, but this monster appeared at the tail end of 2019
35.51 merit 40920 gap 501 digits x*y#/46410z smaller prime Not a "top 10 merit" or a "best merit at" record, but pretty worthwhile! 
20200107, 17:14  #114  
Jun 2003
Oxford, UK
2×13×73 Posts 
Quote:
5. 44294 37.29 Smith 2020 It is a new member of the "no larger gaps discovered to date with larger merit" list. First big find of the new decade!! 

20200203, 23:05  #115 
"Seth"
Apr 2019
2×7×13 Posts 
For some work on mpz_prevprime I plotted the highest merit of a prime gap by year discovered.
I started with Code:
select year, max(merit) from gaps group by year; Code:
3001.44 187710.2 193410.03 195712.46 196112.45 196716.54 197322.8 198021.27 198925.03 199125.02 199524.59 199627.44 199725.28 199826.55 199932.28 200028.6 200129.87 200231.07 200331.34 200430.85 200534.98 200633.77 200733.29 200832.7 200935.31 201031.42 201134.12 201235.42 201332.32 201434.94 201534.48 201636.86 201741.94 201837.82 201935.510486 https://colab.research.google.com/dr...hyN0AVT2DPmasA The trendline is Code:
y = 0.4073 * (year  2000) + 29.96 
20200204, 09:58  #116  
Jun 2003
Oxford, UK
2·13·73 Posts 
Quote:
I know of one gap over 38 in 2020! Well done Seth! 

20200204, 11:32  #117 
"Seth"
Apr 2019
2×7×13 Posts 
I got incredibly lucky testing out a new heuristic and find a prime two of merit 38! It's the 4th largest prime gap by merit found!
35308 38.05 x*y#/za I'm working to record it to the githib list. 
20200909, 07:31  #118 
"Seth"
Apr 2019
2·7·13 Posts 
Death to missing gaps
Yesterday I started a personal project to fill the 25 gaps with no known start prime < 125,000.
I created a new list on the primegaplistproject page that lists the smallest gap without starting prime (without a record? without a known prime pair?). And I have derived some rather clever formula (to large to discuss here) that I believe make it feasible to find a pair of primes for any gap. After 24 hours I had my first pseudo success, when I found this gap with no previous record. Hopefully I can continue finding ~1 missing gap a day Code:
130898 64003 * 12007#/1110 47954 to +82944 
20200911, 06:39  #119 
"Seth"
Apr 2019
2·7·13 Posts 
I validated and slightly improved my approach.
I've found a 2nd missing gap. Code:
127622 56653*9001#/1110 69548 to +58074 
20200912, 08:56  #120 
Dec 2008
you know...around...
2·13·23 Posts 
Can I submit megagaps with primes in the 39000+ digits range via the cloudygo window or is it advisable to rather post them here?

20200912, 13:38  #121  
"Seth"
Apr 2019
2×7×13 Posts 
Quote:
A simple compromise might be to check endpoints but skip full verification for known contributors on gaps with merit less than 30 (on the occasional larger records I'm happy to run the full verification). This seems reasonable because the alternative is that they probably don't get verified at all (and are just copy pasted into the allgaps.sql file) It would be nice to get a 2nd person (Robert, Jansen, DanaJ) to confirm this sounds reasonable. 

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