Prime Gap News - Page 23

henryzz · 2021-05-04, 14:24

Quote:

Originally Posted by mart_r

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?

mart_r · 2021-05-04, 16:44

Quote:

Originally Posted by SethTro

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

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.

SethTro · 2021-05-05, 08:43

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!

mart_r · 2021-05-09, 18:51

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.

SethTro · 2021-05-10, 20:50

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?

ATH · 2021-05-16, 20:41

Quote:

Originally Posted by mart_r

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.

mart_r · 2021-05-18, 19:48

Quote:

Originally Posted by ATH

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

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...

ATH · 2021-05-18, 22:57

Quote:

Originally Posted by mart_r

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.

SethTro · 2021-05-30, 08:51

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.

ATH · 2021-05-30, 19:33

Quote:

Originally Posted by SethTro

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.

robert44444uk · 2021-06-02, 21:38

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.

2021-05-05, 08:43	#245
SethTro "Seth" Apr 2019 3·97 Posts	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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2021-05-10, 20:50	#247
SethTro "Seth" Apr 2019 3·97 Posts	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?

2021-05-30, 08:51	#251
SethTro "Seth" Apr 2019 100100011₂ Posts	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.

2021-06-02, 21:38	#253
robert44444uk Jun 2003 Oxford, UK 7×277 Posts	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.