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Old 2021-05-04, 14:24   #243
henryzz
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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?
Is that two 3M+ gaps with no known boundaries or do you know some of the boundary primes?
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Old 2021-05-04, 16:44   #244
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Quote:
Originally Posted by SethTro View Post
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.
Are you able to read in my factors (which will be a list of numbers in said range relevant to the gap) and search for smaller and (if necessary) larger factors yourself?
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:
Originally Posted by henryzz View Post
Is that two 3M+ gaps with no known boundaries or do you know some of the boundary primes?
I'm searching two gaps in parallel, +/- seperately. After a few trials with early primes I hit two large gaps simultaneously. Currently one of them is still open on the - side (found a prime on the + side) and the other is still open on both sides.
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 2021-05-04 at 17:24
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Old 2021-05-05, 08:43   #245
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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
Craig also improved the record for 19246 and 19352 so there any now no gaps under 20,000 with merit < 25.

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!
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Old 2021-05-09, 18:51   #246
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One of my 3M+ gaps is final!
3397520 15.1751 224423#/102233201070-1888326

The other is still pending, but will be >4M now.
Until then, for good measure, here's a sub-3M gap too:
2675288 11.9492 224423#/103083710730-784202

I've attached a list of factors >109 for both gaps, hope this helps a bit.
Attached Files
File Type: txt factors_d=102233201070.txt (68.9 KB, 35 views)
File Type: txt factors_d=103083710730.txt (46.3 KB, 31 views)
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Old 2021-05-10, 20:50   #247
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I added a new graph of record by year

https://primegaps.cloudygo.com/graph...100000&by_year

It's semi-uniform (some years focused on some intervals more than others) so no big surprised. 2021 is probably the most non-uniform 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?
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Old 2021-05-16, 20:41   #248
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Quote:
Originally Posted by mart_r View Post
One of my 3M+ gaps is final!
3397520 15.1751 224423#/102233201070-1888326
Gap double checked. Endpoints:

Code:
224423#/102233201070-1888326+0 is Lucas PRP! (866.5574s+0.0631s)
224423#/102233201070-1888326+0 is 23-PRP! (254.9320s+0.0579s)
224423#/102233201070-1888326+0 is 73-PRP! (256.8514s+0.0425s)
224423#/102233201070-1888326+0 is 101-PRP! (246.2541s+0.0482s)
224423#/102233201070-1888326+0 is 151-PRP! (244.7240s+0.0597s)
224423#/102233201070-1888326+0 is 251-PRP! (244.8238s+0.0570s)

224423#/102233201070-1888326+3397520 is Lucas PRP! (1152.9400s+0.0693s)
224423#/102233201070-1888326+3397520 is 23-PRP! (259.7334s+0.0497s)
224423#/102233201070-1888326+3397520 is 73-PRP! (253.3976s+0.0505s)
224423#/102233201070-1888326+3397520 is 101-PRP! (242.9022s+0.0433s)
224423#/102233201070-1888326+3397520 is 151-PRP! (251.7479s+0.0627s)
224423#/102233201070-1888326+3397520 is 251-PRP! (251.6995s+0.0422s)
List of 1679476 factors + 19283 composite PRP tests attached.
Attached Files
File Type: 7z primegap3397520.7z (3.89 MB, 29 views)

Last fiddled with by ATH on 2021-05-16 at 20:44
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Old 2021-05-18, 19:48   #249
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Quote:
Originally Posted by ATH View Post
Gap double checked.
You're the best!

The other gap finally got empocketed this morning.
4397298 19.6406 224423#/107371994730-2375864

Factors between 1e9 and 414e9 attached.


Quote:
Originally Posted by SethTro View Post
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?
primegapworks.org? I'm not quite in a creative phase right now...
Attached Files
File Type: txt factors_d=107371994730.txt (104.7 KB, 16 views)

Last fiddled with by mart_r on 2021-05-18 at 19:57
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Old 2021-05-18, 22:57   #250
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Quote:
Originally Posted by mart_r View Post
Until then, for good measure, here's a sub-3M gap too:
2675288 11.9492 224423#/103083710730-784202
Verified. Endpoints:

Code:
224423#/103083710730-784202+0 is Lucas PRP! (651.1654s+0.0394s)
224423#/103083710730-784202+0 is 89-PRP! (176.3418s+0.0385s)
224423#/103083710730-784202+0 is 101-PRP! (176.4062s+0.0380s)
224423#/103083710730-784202+0 is 137-PRP! (174.3276s+0.0405s)
224423#/103083710730-784202+0 is 211-PRP! (172.6725s+0.0415s)
224423#/103083710730-784202+0 is 251-PRP! (173.4967s+0.0422s)

224423#/103083710730-784202+2675288 is Lucas PRP! (682.9142s+0.0402s)
224423#/103083710730-784202+2675288 is 89-PRP! (178.2460s+0.0426s)
224423#/103083710730-784202+2675288 is 101-PRP! (175.0109s+0.0395s)
224423#/103083710730-784202+2675288 is 137-PRP! (174.7313s+0.0679s)
224423#/103083710730-784202+2675288 is 211-PRP! (174.6078s+0.0398s)
224423#/103083710730-784202+2675288 is 251-PRP! (172.0729s+0.0398s)
List of 1322929 factors + 14714 composite PRP tests attached.
Attached Files
File Type: 7z primegap2675288.7z (3.09 MB, 23 views)

Last fiddled with by ATH on 2021-05-18 at 23:00
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Old 2021-05-30, 08:51   #251
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I slightly updated the server. On the prime-gap-list 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/primegap-list-project/prime-gap-list

---

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.
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Old 2021-05-30, 19:33   #252
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Quote:
Originally Posted by SethTro View Post
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.
I was verifying the 4M+ gap as well, I'm probably 50-75% 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 2021-05-30 at 19:34
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Old 2021-06-02, 21:38   #253
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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#/46410-y

Rather tasty, I would say.
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