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Old 2021-02-21, 14:52   #232
Bobby Jacobs
 
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What is the new list of the first 10 unknown gaps?
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Old 2021-02-21, 22:53   #233
SethTro
 
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This list is updated manually approximately twice a month

https://primegap-list-project.github.../missing-gaps/

As of today the ten smallest missing gaps are: 113326, 115694, 117238, 119222, 119584, 121138, 122290, 122666, 123242, and 123598
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Old 2021-03-06, 07:22   #234
SethTro
 
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I found a new top 20 merit record

53608 1703532329*1511#/234570-25210 Merit=36.2620

It's just below my other 2021 record

78350 974879377*2221#/4626930-49418 Merit=36.2822
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Old 2021-03-21, 08:38   #235
SethTro
 
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Welcome to Craig Loizides!

Craig has been doing very small searches including an improvement to gap=1444 (70835497433946172330027 Merit 27.4) which is the smallest gap improved in 2+ years.

And they increased the record for gap=2894 (one of the 4 gaps with merit < 5 under 20k [1])


Other updates:
* 9500+ records submitted this year (compared with 13,044 last year)
* Of the 17 gaps needed for nice increments in #227, 4 have been found (2894, 36574, 49246, 49298)
* My #2221 or better range extends from 44582 to 47494
* Rob Smith found 2nd smallest missing gap (115694)

Last fiddled with by SethTro on 2021-03-21 at 08:39
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Old 2021-04-03, 00:55   #236
SethTro
 
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Craig has continued with small gaps improving several hundred records <12000.
Including this new top 20 merit gap as well as many other top 100 / top 200 merit gaps.
10470 36.3971 Craig Loizides 29052706830863*277#/30-5748

David Stevens cleared one more gap from #227
95278 12.1047 DStevens 9301541 * 7993#/505915410 -44226

I (Seth) filled in even more of the #2221 primorial line

Michiel Jansen found a few more of the missing gaps < 125,000 (only 13 missing now)


*technically "more records have this year as discovery than last year" so maybe 20% fewer but IDK.
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Old 2021-04-07, 01:29   #237
SethTro
 
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Craig found a new top 10 gap (slightly edging my record out of 9th place)!


Code:
14772 Loizides 2021 37.0585 269315265958061*397#/210 -8002
In total 22 of the top 100 merit gaps have been found by Craig! I suspect all of these in 2021!


Code:
Jacobsen|43|39.62,38.067,37.824,37.005,36.858,36.59,36.421,36.024,35.85,35.782,35.682,35.58,35.455,35.425,35.2,35.136,34.965,34.911,34.853,34.823,34.756,34.749,34.708,34.706,34.688,34.682,34.618,34.606,34.516,34.509,34.476,34.458,34.384,34.348,34.307,34.304,34.289,34.277,34.277,34.271,34.228,34.227,34.199
Loizides|22|37.059,36.58,36.397,35.777,35.608,35.607,35.298,35.095,34.756,34.717,34.711,34.631,34.571,34.518,34.516,34.325,34.24,34.232,34.214,34.209,34.208,34.191
RobSmith|12|37.459,37.291,37.085,36.756,35.64,35.511,34.957,34.902,34.619,34.52,34.478,34.267
S.Troisi|6|38.048,37.051,36.282,36.262,34.967,34.64
M.Jansen|4|35.918,35.531,35.425,35.366
Gapcoin|4|41.939,36.929,34.659,34.378
...
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Old 2021-04-15, 19:56   #238
SethTro
 
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Craig did it again! They submitted a merit 38.4 record in a batch of 541#/210 updates

Code:
20432 Loizides 2021 38.4280	36418480512973*541#/210-7610
Craig also improved the record for 15122, so there any now only two gaps under 25,000 with merit < 25.

Looking at the records by year table. We have more new records (by April) than most previous years and more merit > 30 records than any previous year.

Last fiddled with by SethTro on 2021-04-15 at 19:57
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Old 2021-04-17, 06:03   #239
SethTro
 
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I made a new video showing improvements to average merit over the last two years.
https://www.youtube.com/watch?v=aCW1IyLJF0Y


You can see Craig has improved the 2,000 to 15,000 range by several merit.
I've done a lot of work from 32,000 to 65,000
Others have improved a huge number of other records.
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Old 2021-05-03, 21:11   #240
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I've got two 3M+ gaps in the offing.
When the bounding primes are found, I'd like to post them here together with a list of factors between 10^10 and ~4*10^11 that should help with the sieving process, if that's okay. Or would there be any objections?
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Old 2021-05-04, 06:32   #241
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Quote:
Originally Posted by SethTro View Post
I made a new video showing improvements to average merit over the last two years.
https://www.youtube.com/watch?v=aCW1IyLJF0Y


You can see Craig has improved the 2,000 to 15,000 range by several merit.
I've done a lot of work from 32,000 to 65,000
Others have improved a huge number of other records.
Cool!
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Old 2021-05-04, 10:44   #242
SethTro
 
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Quote:
Originally Posted by mart_r View Post
I've got two 3M+ gaps in the offing.
When the bounding primes are found, I'd like to post them here together with a list of factors between 10^10 and ~4*10^11 that should help with the sieving process, if that's okay. Or would there be any objections?

Yay on the new finds, we haven't had any 1M+ gaps this year so 3M+ is amazing! A list of factors might help; I'll run the math to see what an optimal sieve size is once the gapsize and startsize are known. I think it's likely it will be larger than 4e11 in which case I'll probably rerun the sieve and record factors myself.
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