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-   -   List of most small twins of form k*2^n+/-1 (https://www.mersenneforum.org/showthread.php?t=8479)

robert44444uk 2008-04-12 03:19

Posting 5000 to 6079. Only 2 new jumping champions.

I have now moved on to the 30001-30100 n test, running k from 1M to 4.5M, and sieving to 35G. Testing one n appears to take 2 hours 50 minutes for sieve and LLR, so that the 101 values will take 11.9 days, and I expect just over 1 twin. I am running this on a clapped out Gateway in extreme heat 36 degrees celsius in the day, and 27 at night. Don't know how to cool it! LLR tests are taking between 2.7 and 7 seconds, the machine is extremely variable.

Maybe others would like to pitch in, and get this test complete this weekend. I will bag 30000-30010 and 30050-30059.

[CODE]

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6078 19343487
6079 19344771

[/CODE]

roger 2008-04-12 20:01

Just to give you guys a heads up, I've been testing n=33200 and n=34528 for twins as well. So far I've gotten to k=217M for n=33200 and k=56M for n=34528. No twins yet... I think I'll stop doing these n's when I get them to k=250M.

robert44444uk 2008-04-13 08:18

[QUOTE=roger;131438]Just to give you guys a heads up, I've been testing n=33200 and n=34528 for twins as well. So far I've gotten to k=217M for n=33200 and k=56M for n=34528. No twins yet... I think I'll stop doing these n's when I get them to k=250M.[/QUOTE]

Not sure why you are working at these low, individual, n values - if you find a twin it will not be archivable, nor will any individual prime found have any real value.

roger 2008-04-13 09:32

I'm not doing those so they can be archived, but this project will get there eventually :grin: In any case, I don't have the computing power or patience for the results that get in to the prime pages, for example. Also, I haven't found a twin that high yet, so it's something to go for.

I think I'm going to cut my range down to n=8825->9500.
Here are the twins I've found outside this range:
8192 20118603
9500 3962655
9501 29595039
9502 18279597
9999 594501
10000 10642317

kar_bon 2008-04-15 00:03

i updated the page with all data upto 6079 (and some others) see [url]www.rieselprime.org/FirstKTwin.htm[/url].
i included a graph with the data for n=1 to 6079 too.

i'm currently working from n=10001 to .... (don't know how far i go, to continue the work from Cybertronic, see post #86).

robert44444uk 2008-04-15 03:25

I am about 35% through the 30000-30100 test. No twins yet.

Cybertronic 2008-04-15 21:03

Hallo kar_bon !

10000-10009 complete

10010 k>50 Millionen
10011 k>50 Millionen
10012 k>33 Millionen

I stoped the search for n>10009.

robert44444uk 2008-04-16 02:58

2923959*2^30023-1 is prime! Time : 3.222 sec.
2923959*2^30023+1 is prime! Time : 3.691 sec.

So quite happy I found a twin in the forecast range. Took me 4 days to find, so reckon I did about 35% of the total range.

Will stop this test. I am thinking about heading towards an archivable prime, using a range of 1000 n, anyone interested in this challenge?

robert44444uk 2008-04-16 05:52

Such a test might be 71001 to 72000, sieve k from 2 to 2656000 until P=120 bn. This takes about 35 minutes on my computer and produces a file with about 1300 candidates. Llring on my machine takes 20 secs, so that is 7 hours 30 minutes for one n, or 321 days for the total range of n.

Given power cuts here in B'Desh, and high temperatures, this is not feasible unless others join. I am sure that one bank of dual/quad core fast machines, operating at a decent temperature would knock this off very quickly.

Even better is for someone to create an automated distributed project, that doles out candidates and reports back primes. This value could be used as the test.

gd_barnes 2008-04-17 07:22

[quote=robert44444uk;131648]Such a test might be 71001 to 72000, sieve k from 2 to 2656000 until P=120 bn. This takes about 35 minutes on my computer and produces a file with about 1300 candidates. Llring on my machine takes 20 secs, so that is 7 hours 30 minutes for one n, or 321 days for the total range of n.

Given power cuts here in B'Desh, and high temperatures, this is not feasible unless others join. I am sure that one bank of dual/quad core fast machines, operating at a decent temperature would knock this off very quickly.

Even better is for someone to create an automated distributed project, that doles out candidates and reports back primes. This value could be used as the test.[/quote]

I'm literally amazed at how this thread has suddenly taken off.

Well, I supose I could start a THIRD concurrent prime search project (lol) to continue my efforts upwards on twins for k=3 to 1M starting from n=36.2K. I have sieved files all the way up to n=50K right now. It has been my intent to take it up to n=100K and find many archivable twins along the way. But alas, I have too much to do with the 2 projects that I'm currently running.

I had initially stated that I'd like to be the one to do such an effort or share it with one other person but if anyone wants to start an official project for it, I'll gladly contribute to it as my resources allow and throw in my sieved files up to n=50K.

The objective of all of the projects that I'm involved in is to "leave no prime behind" :smile: regardless of its size. Therefore IMHO, the objective of such a twin prime project should be to find ALL twins for k=3-1M for the contiguous n-range starting at n=36.2K where I left off. It wouldn't take too long for a DC effort to search from n=36.2K-66K into archivable territory.

If there is no coordinated DC effort for this, I plan to restart my 'all twin prime search' within the next week after I get some new machines built.


Gary

kar_bon 2008-04-17 08:13

next update is online!
a second graph including all twins for 10,000<n<32,200 and k<100,000 found by Gary Barnes!
the given forumla is not quite correct because of the missing twins above k=100,000!


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