mersenneforum.org Sequence terminations and merges
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2009-09-11, 15:12   #23
Andi47

Oct 2004
Austria

9B216 Posts

Quote:
 Originally Posted by 10metreh I've listed it as a termination - I think it should only be a merge if the sequence that it merges into is open. But this would cause problems if someone found a merge, countinued working on the merged sequence, and terminated it... ...but luckily we haven't had that happen yet.
Then it would only be a "merge" as long as it is not terminated.

2009-09-11, 15:17   #24
10metreh

Nov 2008

2×33×43 Posts

Quote:
 Originally Posted by Andi47 Then it would only be a "merge" as long as it is not terminated.
Right, this is getting a bit confusing. If the scenario I mentioned does happen, then I will get REALLY confused. Therefore all we need to do to get me really confused is to get biwema to work on all the sequences mentioned in the last column of the table in the first post. (i.e. 126792, 660, 102936 etc.)

Last fiddled with by 10metreh on 2009-09-11 at 15:18

 2009-09-11, 17:07 #25 Greebley     May 2009 Dedham Massachusetts USA 15138 Posts If a sequence can go from open ended to prime, then I think one could go from merge to prime as well. I think the ultimate find would be a sequence that merges with itself. If so you have found a cycle that is hundreds or thousands long and beat the mere 28 that is the record now. Last fiddled with by Greebley on 2009-09-11 at 17:10
2009-09-11, 17:09   #26
10metreh

Nov 2008

2×33×43 Posts

Quote:
 Originally Posted by Greebley I think the ultimate find would be a sequence that merges with itself. If so you have found a cycle that is hundreds or thousands long and beat the mere 28 that is the record now.
My bet with myself is that a cycle at least 1000 iterations long will be found by the end of 2012.

(The chances are higher than you might expect - about 1/6 of the numbers below 1000000 do not terminate in a prime, but are either open or merged. So 276 does not just have to drop down to 276 to merge - it could drop to 306, 396 or any other number that merges with it and still a really long cycle would be formed.)

Last fiddled with by 10metreh on 2009-09-11 at 17:14

 2009-09-14, 19:50 #27 smh     "Sander" Oct 2002 52.345322,5.52471 29×41 Posts I forgot to report this. 914850 terminates Thanks to kar_bon for notifying mee.
 2009-09-15, 19:29 #28 unconnected     May 2009 Russia, Moscow 7×353 Posts 546120 merges at i=1645 with 334034
 2009-09-15, 23:54 #29 Greebley     May 2009 Dedham Massachusetts USA 3×281 Posts I got another termination after reaching 115 digits at index 686 i.e. 507924 terminates with the same number of digits as my first termination. Graph The previous one to reach 115 digits, 151752 was 'third place' for highest sequence that terminates, so this would be 4th largest being 3x smaller. Last fiddled with by Greebley on 2009-09-16 at 00:11
 2009-09-16, 14:27 #30 RobertS     Aug 2009 somewhere 3058 Posts 546504 merges with 660 at i2378
 2009-09-17, 18:33 #31 RobertS     Aug 2009 somewhere 19710 Posts 552018 is Prime!!!
 2009-09-18, 20:43 #32 Greebley     May 2009 Dedham Massachusetts USA 3·281 Posts I noticed a difference between the DB and the summary page while doing a check. 569244 merges, but it doesn't seem to be listed. Perhaps someone forgot to report it? In any case it belongs here and on the summary page as merged. Edit: Same with 957726, and 974120. Last fiddled with by Greebley on 2009-09-18 at 20:55
2009-09-19, 07:34   #33
henryzz
Just call me Henry

"David"
Sep 2007
Cambridge (GMT/BST)

2·2,861 Posts

Quote:
 Originally Posted by Greebley I noticed a difference between the DB and the summary page while doing a check. 569244 merges, but it doesn't seem to be listed. Perhaps someone forgot to report it? In any case it belongs here and on the summary page as merged. Edit: Same with 957726, and 974120.
none of those sequences have are mentioned anywhere on mersenneforum
if the merges we found by our project then they need claiming

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