20210507, 18:47  #1 
"Mark"
Apr 2003
Between here and the
29×223 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
Last fiddled with by gd_barnes on 20211001 at 22:20 Reason: update counts 
20210509, 10:02  #2 
Mar 2006
Germany
2^{4}×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 (968^795121)^22 was found in 2021. You also could use the base page with all other links to those pages and tables. I suggest as follows:
Last fiddled with by gd_barnes on 20210511 at 10:21 Reason: correct base 2 search depth 
20210509, 13:25  #3  
"Mark"
Apr 2003
Between here and the
29·223 Posts 
Quote:
Last fiddled with by gd_barnes on 20210511 at 10:36 Reason: correct base 2 search depth 

20210511, 09:38  #4 
May 2007
Kansas; USA
2^{2}×7×13×29 Posts 
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 20210529 at 21:58 Reason: remove dead link 
20210512, 00:15  #5 
May 2007
Kansas; USA
2^{2}·7·13·29 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. 
20210514, 21:14  #6 
"Mark"
Apr 2003
Between here and the
29·223 Posts 
(1326^2211+1)^22 is prime. There are more primes found so far, but none of them impact any of the project goals

20210515, 13:08  #7 
"Mark"
Apr 2003
Between here and the
29×223 Posts 
(1150^44641)^22
(1166^54451)^22 (1290^95981)^22 (1360^73021)^22 (1404^5656+1)^22 (1466^42491)^22 (1468^4351+1)^22 are all prime. Barring mistakes on my part, this completes of the 2021 project goals, which was probably set too low. 
20210516, 07:43  #8  
May 2007
Kansas; USA
10556_{10} Posts 
Quote:
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 20210516 at 07:53 

20210516, 12:29  #9 
"Mark"
Apr 2003
Between here and the
29·223 Posts 
Ugh! I keep getting the 1 and +1 forms mixed up.

20211001, 19:50  #10 
Mar 2007
Estonia
149 Posts 
Last fiddled with by kuratkull on 20211001 at 19:51 Reason: number formatting 
20211001, 22:17  #11  
May 2007
Kansas; USA
10556_{10} Posts 
Quote:
Very good! Goal #4 has been accomplished! 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Carol / Kynea Coordinated Search  Reservations  rogue  And now for something completely different  302  20211123 07:15 
2021 project goals  gd_barnes  Conjectures 'R Us  19  20211122 10:55 
Carol / Kynea Primes  rogue  And now for something completely different  253  20211015 08:39 
Carol / Kynea half squares  sweety439  And now for something completely different  3  20200329 23:41 
Carol / Kynea search (Nearpower primes)  rogue  And now for something completely different  37  20160618 17:58 