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2019-11-15, 16:22   #111
Bobby Jacobs

May 2018

3·5·13 Posts

Quote:
 Originally Posted by rudy235 That is very good! Congratulations. As to Dr Nicely he usually doesn't take so long (it's been 81 days) to update the pages. I hope he is well.
Dr. Nicely died.

2019-11-15, 16:56   #112
mart_r

Dec 2008
you know...around...

25616 Posts

Quote:
 Originally Posted by robert44444uk Unbelievably I just found my third "top 10" merit in just ten days. The new find is the new 5th largest merit 37.458 37668 PRP437 = x*y#/46410-z It is a new member of the "no larger gaps discovered to date with larger merit" list, and displaces my own recent find: 37.08 36760
Way to go Robert!
Hope to see a 42-Merit gap from you soon

 2020-01-02, 10:01 #113 robert44444uk     Jun 2003 Oxford, UK 7·271 Posts No 42 level gap, but this monster appeared at the tail end of 2019 35.51 merit 40920 gap 501 digits x*y#/46410-z smaller prime Not a "top 10 merit" or a "best merit at" record, but pretty worthwhile!
2020-01-07, 17:14   #114
robert44444uk

Jun 2003
Oxford, UK

111011010012 Posts

Quote:
 Originally Posted by robert44444uk Unbelievably I just found my third "top 10" merit in just ten days. The new find is the new 5th largest merit 37.458 37668 PRP437 = x*y#/46410-z It is a new member of the "no larger gaps discovered to date with larger merit" list, and displaces my own recent find: 37.08 36760 The top ten merit list looks like the following now: Code: 1 8350 41.938 Gapcoin 2017 2 15900 39.620 Jacobsen 2017 3 18306 38.067 Jacobsen 2017 4 8382 37.824 Jacobsen 2018 5 37668 37.458 Smith 2019 6 36760 37.085 Smith 2019 7 26054 37.005 Jacobsen 2017 8 7362 36.929 Gapcoin 2017 9 10716 36.858 Jacobsen 2016 10 35952 36.756 Smith 2019
Another top 10 merit gap for me

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!!

 2020-02-03, 23:05 #115 SethTro     "Seth" Apr 2019 181 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: -300|1.44 1877|10.2 1934|10.03 1957|12.46 1961|12.45 1967|16.54 1973|22.8 1980|21.27 1989|25.03 1991|25.02 1995|24.59 1996|27.44 1997|25.28 1998|26.55 1999|32.28 2000|28.6 2001|29.87 2002|31.07 2003|31.34 2004|30.85 2005|34.98 2006|33.77 2007|33.29 2008|32.7 2009|35.31 2010|31.42 2011|34.12 2012|35.42 2013|32.32 2014|34.94 2015|34.48 2016|36.86 2017|41.94 2018|37.82 2019|35.510486 I then plotted this with colab https://colab.research.google.com/dr...hyN0AVT2DPmasA The trendline is Code: y = 0.4073 * (year - 2000) + 29.96 Attached Thumbnails
2020-02-04, 09:58   #116
robert44444uk

Jun 2003
Oxford, UK

7×271 Posts

Quote:
 Originally Posted by SethTro 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: -300|1.44 1877|10.2 1934|10.03 1957|12.46 1961|12.45 1967|16.54 1973|22.8 1980|21.27 1989|25.03 1991|25.02 1995|24.59 1996|27.44 1997|25.28 1998|26.55 1999|32.28 2000|28.6 2001|29.87 2002|31.07 2003|31.34 2004|30.85 2005|34.98 2006|33.77 2007|33.29 2008|32.7 2009|35.31 2010|31.42 2011|34.12 2012|35.42 2013|32.32 2014|34.94 2015|34.48 2016|36.86 2017|41.94 2018|37.82 2019|35.510486 I then plotted this with colab https://colab.research.google.com/dr...hyN0AVT2DPmasA The trendline is Code: y = 0.4073 * (year - 2000) + 29.96
37.458 was the highest in 2019.

I know of one gap over 38 in 2020! Well done Seth!

 2020-02-04, 11:32 #117 SethTro     "Seth" Apr 2019 181 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#/z-a I'm working to record it to the githib list.
 2020-09-09, 07:31 #118 SethTro     "Seth" Apr 2019 2658 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 primegap-list-project 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
 2020-09-11, 06:39 #119 SethTro     "Seth" Apr 2019 181 Posts I validated and slightly improved my approach. I've found a 2nd missing gap. Code: 127622 56653*9001#/1110 -69548 to +58074 I'll chug away on these for a couple of days and see if I can find all 25 or a good fraction of them.
 2020-09-12, 08:56 #120 mart_r     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?
2020-09-12, 13:38   #121
SethTro

"Seth"
Apr 2019

2658 Posts

Quote:
 Originally Posted by mart_r Can I submit megagaps with primes in the 39000+ digits range via the cloudygo window or is it advisable to rather post them here?
Currently I have primegaps.cloudygo.com double checking the submitted records. on records with 30,000+ digits this would take 1hr+ each. I'd prefer not to tie up that computer 24x7 verifying records.

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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