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2021-05-04, 14:24   #243
henryzz
Just call me Henry

"David"
Sep 2007
Cambridge (GMT/BST)

2×5×587 Posts

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?

2021-05-04, 16:44   #244
mart_r

Dec 2008
you know...around...

65010 Posts

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.

Last fiddled with by mart_r on 2021-05-04 at 17:24

 2021-05-05, 08:43 #245 SethTro     "Seth" Apr 2019 3×7×13 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!
2021-05-09, 18:51   #246
mart_r

Dec 2008
you know...around...

2×52×13 Posts

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
 factors_d=102233201070.txt (68.9 KB, 9 views) factors_d=103083710730.txt (46.3 KB, 8 views)

 2021-05-10, 20:50 #247 SethTro     "Seth" Apr 2019 11116 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?

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