mersenneforum.org Carol / Kynea 2021 Project Goals
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 2021-05-07, 18:47 #1 rogue     "Mark" Apr 2003 Between here and the 2×5×647 Posts Carol / Kynea 2021 Project Goals I have adjusted the goals based upon the feedback. Some of these will not be easy to achieve, but I think that most are doable Finding at least one prime for one of the bases without Carol and Kynea: 1656, 2634: 1 to go Finding at least one prime for 5 of the bases without Carol prime: 5 done (738, 832, 938, 968, 1566): goal accomplished. Finding at least one prime for 5 of the bases: without Kynea prime: 5 done (1166, 1218, 1326, 1404, 2970): goal accomplished. Finding 2 Top 5000 primes: (968^79512-1)^2-2, (42^157323+1)^2-2: goal accomplished. Search all bases <=50 to n = 100k : 40, 46, 48: 3 to go Search all bases <=100 to n = 50k: 24 to go Search base 2 to n = 1M: searched to 768870 Last fiddled with by gd_barnes on 2021-10-01 at 22:20 Reason: update counts
 2021-05-09, 10:02 #2 kar_bon     Mar 2006 Germany 24·3·61 Posts There are 4 bases for 2021: - 968 - 738 - 938 - 832 All 4 in the "no Carol prime" category. Also the Top5000 prime (968^79512-1)^2-2 was found in 2021. You also could use the base page with all other links to those pages and tables. I suggest as follows: Finding at least one prime for one of the bases without Carol and Kynea: 1656, 2634: 1 to go Finding at least one prime for 5 of the bases without Carol prime: 4 done (738, 832, 938, 968): 1 to go Finding at least one prime for 5 of the bases: without Kynea prime: 5 to go Finding 2 Top 5000 primes: (968^79512-1)^2-2: 1 to go Search all bases <=50 to n = 100k : 34, 38, 40, 46, 48: 5 to go Search all bases <=100 to n = 50k: 25 to go Search base 2 to n = 1M: searched to 768870 Last fiddled with by gd_barnes on 2021-05-11 at 10:21 Reason: correct base 2 search depth
2021-05-09, 13:25   #3
rogue

"Mark"
Apr 2003
Between here and the

145068 Posts

Quote:
 Originally Posted by kar_bon There are 4 bases for 2021: - 968 - 738 - 938 - 832 All 4 in the "no Carol prime" category. Also the Top5000 prime (968^79512-1)^2-2 was found in 2021. You also could use the base page with all other links to those pages and tables. I suggest as follows: Finding at least one prime for one of the bases without Carol and Kynea: 1656, 2634: 1 to go Finding at least one prime for 5 of the bases without Carol prime: 4 done (738, 832, 938, 968): 1 to go Finding at least one prime for 5 of the bases: without Kynea prime: 5 to go Finding 2 Top 5000 primes: (968^79512-1)^2-2: 1 to go Search all bases <=50 to n = 100k : 34, 38, 40, 46, 48: 5 to go Search all bases <=100 to n = 50k: 25 to go Search base 2 to n = 1M: searched to 768870
I updated the first post with your list.

Last fiddled with by gd_barnes on 2021-05-11 at 10:36 Reason: correct base 2 search depth

2021-05-11, 09:38   #4
gd_barnes

May 2007
Kansas; USA

33×17×23 Posts

Quote:
 Originally Posted by rogue I noticed that (dead link) is out of date.
It gets updated with whatever is posted in these threads plus the occasional look at Karsten's page. The original idea behind that page is that we would only show bases that were searched to n>=10K...otherwise we could have 1000s of bases searched to n=1K or 2K...a lot of admin effort. The page was not designed for a "conjecture like" effort trying to find a prime for every base that required 100s of bases be searched.

It looks like I need to add some bases > 800 that have been searched to n>=10K but not posted in these threads. I'll do that sometime later today.

Last fiddled with by gd_barnes on 2021-05-29 at 21:58 Reason: remove dead link

 2021-05-12, 00:15 #5 gd_barnes     May 2007 Kansas; USA 1055710 Posts The main project page has been updated to include all bases with search depth n>=10K. Karsten, if you can post in the reservations thread whenever you search a base to n>=10K that would be helpful.
 2021-05-14, 21:14 #6 rogue     "Mark" Apr 2003 Between here and the 145068 Posts (1326^2211+1)^2-2 is prime. There are more primes found so far, but none of them impact any of the project goals
 2021-05-15, 13:08 #7 rogue     "Mark" Apr 2003 Between here and the 2×5×647 Posts (1150^4464-1)^2-2 (1166^5445-1)^2-2 (1290^9598-1)^2-2 (1360^7302-1)^2-2 (1404^5656+1)^2-2 (1466^4249-1)^2-2 (1468^4351+1)^2-2 are all prime. Barring mistakes on my part, this completes of the 2021 project goals, which was probably set too low.
2021-05-16, 07:43   #8
gd_barnes

May 2007
Kansas; USA

33×17×23 Posts

Quote:
 Originally Posted by rogue (1150^4464-1)^2-2 (1166^5445-1)^2-2 (1290^9598-1)^2-2 (1360^7302-1)^2-2 (1404^5656+1)^2-2 (1466^4249-1)^2-2 (1468^4351+1)^2-2 are all prime. Barring mistakes on my part, this completes of the 2021 project goals, which was probably set too low.
Per the pages that Karsten linked to in the 1st post here and using your primes reported in the other thread and here, several of which were already on Karsten's page:

None of your Carol primes help with the goals.

The following bases now have Kynea primes that did not previously:
1166
1218
1326
1404

So goal 3 for the Kynea primes now has 5 bases done and so is accomplished. All the others still need work. I wasn't clear by your last comment whether or not you thought that some other goals were accomplished.

See my edit to the 1st post here to see if everything looks right.

Last fiddled with by gd_barnes on 2021-05-16 at 07:53

 2021-05-16, 12:29 #9 rogue     "Mark" Apr 2003 Between here and the 2×5×647 Posts Ugh! I keep getting the -1 and +1 forms mixed up.
 2021-10-01, 19:50 #10 kuratkull     Mar 2007 Estonia 14910 Posts New Top5K prime: (42^157323+1)^2-2 https://primes.utm.edu/primes/page.php?id=132772 Last fiddled with by kuratkull on 2021-10-01 at 19:51 Reason: number formatting
2021-10-01, 22:17   #11
gd_barnes

May 2007
Kansas; USA

33×17×23 Posts

Quote:
 Originally Posted by kuratkull New Top5K prime: (42^157323+1)^2-2 https://primes.utm.edu/primes/page.php?id=132772

Very good! Goal #4 has been accomplished!

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