Status
CK290 at n=113k
CK362 at n=100k and continuing 
ck update 12/13
Base 2 is at n = 768870. No primes found yet, continuing.
Base 6 sieve is at p = 39.25 T. Target is still 60 T. Also running a sieve for base 50 for n = 120k to 150k, it is presently at p = 9 T. I am also wondering what goals this project should have for next year (find a T5k prime, get all b <= 50 to n = 100k, etc.). 
Reservation Post
Base 258 at n=10k
Grotex 
Reservation Post
[QUOTE=Grotex;503824]Base 258 at n=10k
Grotex[/QUOTE] Base 258 at n=10k done Primes: (258^1+1)^22 (258^11)^22 (258^21)^22 (258^9+1)^22 (258^91)^22 (258^14+1)^22 (258^141)^22 (258^391)^22 (258^75+1)^22 (258^941)^22 (258^105+1)^22 (258^125+1)^22 (258^159+1)^22 (258^2703+1)^22 (258^54161)^22 
Status
CK290 at n=118k
CK362 at n=110k and cointinuing. 
Base 1968 completed to 75000. No primes.

Status
CK290 at n=124k
CK362 at n=121k Found and reported: (290^1241161)^22 and cointinuing. [QUOTE=Dylan14;502597]I am also wondering what goals this project should have for next year (find a T5k prime, get all b <= 50 to n = 100k, etc.).[/QUOTE] First part done. 
Nice find Karsten!
As for the 2nd goal that I mentioned (all bases <= 50 to 100k), the following bases are below that: 18, 20, 22, 24, 26, 28, 30, 34, 38, 40, 42, 46, and 48 (note I did not include powers here). Back on topic with the thread, the base 6 sieve from 150k to 250k will be done today. Base 50 sieve from 120k150k is at 13 T, and base 2 is stalled at 768870 still. 
1 Attachment(s)
Base 6 from 150k250k has been sieved to 60 T. The sieve file is attached below. 22101 terms remain after sieving.

[QUOTE=rogue;510015]Base 1968 completed to 75000. No primes.[/QUOTE]
Are you continuing with the reservation? 
It is on hold again. I have sieved to n=100000, but my cores are busy on my big R3 reservation for CRUS. If someone want to take over, I can provide the remaining terms to be tested.

Status
CK290 and CK362 at n=127k
and cointinuing. 
1 Attachment(s)
Base 50 from n=120k150k has been sieved to 40 T. The sieve file is attached below. 7672 terms remain after sieving.

hi,
please do reserve for me b=328, n=2000 to 10000 b=330, n=2000 to 10000 b=332, n=2000 to 10000 b=334, n=2000 to 10000 b=336, n=2000 to 10000 b=338, n=2000 to 10000 b=340, n=2000 to 10000 b=342, n=2000 to 10000 
hi,
please do reserve for me b=344, n=2000 to 10000 b=346, n=2000 to 10000 b=348, n=2000 to 10000 b=350, n=2000 to 10000 b=352, n=2000 to 10000 b=354, n=2000 to 10000 b=356, n=2000 to 10000 b=358, n=2000 to 10000 
[QUOTE=lalera;512423]hi,
please do reserve for me b=328, n=2000 to 10000 b=330, n=2000 to 10000 b=332, n=2000 to 10000 b=334, n=2000 to 10000 b=336, n=2000 to 10000 b=338, n=2000 to 10000 b=340, n=2000 to 10000 b=342, n=2000 to 10000[/QUOTE] [QUOTE=lalera;512430]hi, please do reserve for me b=344, n=2000 to 10000 b=346, n=2000 to 10000 b=348, n=2000 to 10000 b=350, n=2000 to 10000 b=352, n=2000 to 10000 b=354, n=2000 to 10000 b=356, n=2000 to 10000 b=358, n=2000 to 10000[/QUOTE] In order to properly show the bases on the page, you will also need to test n=1 to 2000. 
[QUOTE=gd_barnes;512484]In order to properly show the bases on the page, you will also need to test n=1 to 2000.[/QUOTE]
hi, n=1 to 2000 for those bases are already done [url]https://www.rieselprime.de/Others/CarolKynea.htm[/url] 
[QUOTE=lalera;512423]hi,
please do reserve for me b=328, n=2000 to 10000 b=330, n=2000 to 10000 b=332, n=2000 to 10000 b=334, n=2000 to 10000 b=336, n=2000 to 10000 b=338, n=2000 to 10000 b=340, n=2000 to 10000 b=342, n=2000 to 10000[/QUOTE] hi, bases released 
[QUOTE=lalera;512525]hi,
n=1 to 2000 for those bases are already done [URL]https://www.rieselprime.de/Others/CarolKynea.htm[/URL][/QUOTE] I see. I was not aware of that page. I will work to get the main project page updated. 
The main project page has been updated to include bases that have been searched on Karsten's page up to n=10,000 as well as newly reserved bases.

Reserving base 5040 (7!) to n = 10k.

[QUOTE=lalera;512430]hi,
please do reserve for me b=344, n=2000 to 10000 b=346, n=2000 to 10000 b=348, n=2000 to 10000 b=350, n=2000 to 10000 b=352, n=2000 to 10000 b=354, n=2000 to 10000 b=356, n=2000 to 10000 b=358, n=2000 to 10000[/QUOTE] hi, bases released 
Reserving CK18 for n=50k100k

Base 5040 was searched to n=10k. Seven primes were found and reported for n = 110k. I am releasing this base.
Reserving base 542 from n=10k to n=25k. 
hi,
please do reserve for me CK b=106, n=10000 to 30000 b=108, n=10000 to 30000 b=110, n=10000 to 30000 b=112, n=10000 to 30000 
Base 542 was searched to n = 25k. One prime was found and reported for n=10k25k. I am releasing this base.

[QUOTE=lalera;512842]hi,
please do reserve for me CK b=106, n=10000 to 30000 b=108, n=10000 to 30000 b=110, n=10000 to 30000 b=112, n=10000 to 30000[/QUOTE] hi, bases released 
hi,
please do reserve for me C/K b=114, n=10000 to 30000 b=116, n=10000 to 30000 b=118, n=10000 to 30000 b=122, n=10000 to 30000 b=124, n=10000 to 30000 b=126, n=10000 to 30000 
CK18
base=18 searched from n=50k100k
primes found: (18^693541)^22 (18^82516+1)^22 releasing 
Status
CK290 at n=130k
CK362 at n=133k and cointinuing. 
[QUOTE=lalera;514207]hi,
please do reserve for me C/K b=114, n=10000 to 30000 b=116, n=10000 to 30000 b=118, n=10000 to 30000 b=122, n=10000 to 30000 b=124, n=10000 to 30000 b=126, n=10000 to 30000[/QUOTE] hi, bases released 
I restarted base 1968 a few weeks ago as the cores working on R3 started freeing up. I intend to complete to n=100,000.

Taking bases 20, 22, 24, and 26.

Status
CK290 at n=132k
CK362 at n=133k continuing... 
Base 20 done to n=100000 and released. One prime found and reported in the other thread.

Taking bases 28 and 30.

[QUOTE=rogue;516755]I restarted base 1968 a few weeks ago as the cores working on R3 started freeing up. I intend to complete to n=100,000.[/QUOTE]
Finally done to n=100000 and releasing the base. No new primes. 
Bases 28 and 30 completed to n=100000 and released. One prime found: (28^80543+1)^22

Reserving base 40320 (8!) to n = 10k.

Base 40320 was searched to n = 10k. 10 primes were found and reported. I am releasing this base.
Also, since base 12 and base 18 have been searched to n = 100k, we can take out the sieve files for those bases in the zip file (they are for the n range 50k100k). 
Status
CK290 at n=137k
CK362 at n=139k and cointinuing. 
Status
CK290 at n=147k
CK362 still at n=139k and cointinuing. 
1 Attachment(s)
Base 12, n = 100150k, was sieved up to 13 T. The sieve file is attached. 7810 terms remain after sieving.

Reserving base 34, n = 30k50k

1 Attachment(s)
Sieving finished for base 34, n = 3050k, up to 270106523473
Sieve file attatched. Begining prpcheck. 
reserving base 130, n=1030 k

1 Attachment(s)
Finished sieving base 130, n = 10  30 k
Sieve file attatched. Beginning prp testing reserving: 132, 134,136, 138, 140, 142 each n = 10  30 k 
5 Attachment(s)
Finished my reserved ranges (132, 134, 36, 138, 140, 142, n = 1030k). Releasing all of them.
Sieve files are attatched. Starting prp checking for all ranges. 
1 Attachment(s)
Here is the last one (5 files upload limit)

Reserve
Reserving base 74 to n = 80k.

Reserving base 158 from n=10k to 30k

Status
CK290 at n=157k
CK362 still at n=139k and cointinuing. Make it official, reserving bases with no primes on Carol side: CK688 at n=64k CK968 at n=69k CK1286 at n=59k CK1346 at n=57k 
[QUOTE=kar_bon;546733]CK290 at n=157k
CK362 still at n=139k and cointinuing. Make it official, reserving bases with no primes on Carol side: CK688 at n=64k CK968 at n=69k CK1286 at n=59k CK1346 at n=57k[/QUOTE] For bases 688, 968, 1286, and 1346 are you searching both the Carol and Kynea sides? If so are there any Kynea primes? If so please report them. Thanks. The web page is not set up for searching on only one side. 
[QUOTE=kar_bon;546733]CK290 at n=157k
CK362 still at n=139k and cointinuing. Make it official, reserving bases with no primes on Carol side: CK688 at n=64k CK968 at n=69k CK1286 at n=59k CK1346 at n=57k[/QUOTE] There are also smaller base without a Carol prime: 640, 702, 738, 832, 866, 928, 938, 942, 950, 964, 992, 1032, 1068, 1108, 1132, 1152, 1188, ... 
[QUOTE=gd_barnes;546788]For bases 688, 968, 1286, and 1346 are you searching both the Carol and Kynea sides?[/QUOTE]
see here: [QUOTE=kar_bon;534488]I'm always testing both sides, [...][/QUOTE] [QUOTE=gd_barnes;546788]If so are there any Kynea primes? If so please report them. [/QUOTE] All data are shown [url='https://www.rieselprime.de/ziki/CarolKynea_prime']here[/url], the current data table is [url='https://www.rieselprime.de/ziki/CarolKynea_table']here[/url]. [QUOTE=sweety439;546813]There are also smaller base without a Carol prime: 640, 702, 738, 832, 866, 928, 938, 942, 950, 964, 992, 1032, 1068, 1108, 1132, 1152, 1188, ...[/QUOTE] Not quite, some are with found primes (example base=866) , see the pages in the Wiki for bases without Carol or Kynea (or both). All bases like those are with their own page and data/history. All other bases <=3000 are listed with primes up to n=2000 in a separate file/table. 
[QUOTE=kar_bon;546824]see here:
All data are shown [URL="https://www.rieselprime.de/ziki/CarolKynea_prime"]here[/URL], the current data table is [URL="https://www.rieselprime.de/ziki/CarolKynea_table"]here[/URL]. <snip> [/QUOTE] I added the second link here to the first post of this thread. I've chosen not to add some bases > 500 to the main page if they were not reserved in this thread although many that were reserved in these threads are shown. I may eventually add all your data up to base 1000. 
2 Attachment(s)
Searched base [B]154 [/B]from 10k  30k and found no primes.
Searched base [B]158 [/B]from 10k  20k and found no primes. 2030k still in progress. Sieve files attached. 
2 Attachment(s)
Base [B]158 [/B]from 20k  30k is finished. No primes found.
Base [B]160 [/B]from 10k  30k searched with no primes found also. I'll continue on with base [B]158 [/B], 30k  40k. 
1 Attachment(s)
Base [B]156[/B] from 20k  30k was completed.
Found (156^24434+1)^22 is prime (107174 digits) Found (156^27423+1)^22 is prime (120285 digits) 
[QUOTE=dacat;547328]Base [B]156[/B] from 20k  30k was completed.
Found (156^24434+1)^22 is prime (107174 digits) Found (156^27423+1)^22 is prime (120285 digits)[/QUOTE] The base was previously only searched to n=10k. Did you search n=10k20k ? 
[QUOTE=gd_barnes;547549]The base was previously only searched to n=10k. Did you search n=10k20k ?[/QUOTE]
Good point, I thought I did but I can no longer find the sieve file to verify so I'll do it again. 
1 Attachment(s)
Base [B]158[/B] from 30  40k finished.
Found (158^338731)^22 is prime (148,951 digits) I'll continue on base 158 from 4050k 
1 Attachment(s)
[QUOTE=gd_barnes;547549]The base was previously only searched to n=10k. Did you search n=10k20k ?[/QUOTE]
To close the loop here, I finished searching base [B]156 [/B]from 10  20k and no primes were found. 
1 Attachment(s)
Finished searching base [B]158[/B] from 4050k but found no primes.
I'll release the reservation on 158 here thanks. 
Reserving base 10 to 200k. Also formally unreserving base 2 (was shown as being unreserved a while ago on NPLB, but was still shown as reserved to me on the PrimeWiki.)

Update 11/2
Base 10 at 130k, no primes found, continuing...

Update 12/2
Base 10 is at n = 150.7k, no primes found, continuing...

I'm reserving base 42 to 100k with the intent to take it further if all goes well.

Karsten,
Are you still working on bases 290, 362, 1286, and 1346 ? If so, can you give us a status ? 
3/15 update
Base 10 at n = 162k, no primes found, continuing...
Also reserving base 832 to n = 25k. 
[QUOTE=gd_barnes;573202]Are you still working on bases 290, 362, 1286, and 1346 ?
[/QUOTE] CK 290 at n=171k CK 362 still at n=139k CK 688 at n=78k CK 1286 at n=75k CK 1346 at n=74k 
Base 832 complete to n = 25k, 7 primes found and reported in the other thread. Base released.
Reserving base 992 to n = 25k. 
Base 992 is complete to n = 25k. Only one prime found, which was found by kar_bon before: (992^1+1)^22. Base released.

Base 42 is done to n=100k
2 primes reported in other thread. Planning to continue, so reserving up to n=150k 
4/28 update
Base 10 is at n = 177.6k, no primes found, continuing...

[QUOTE=kar_bon;573833]CK 290 at n=171k
CK 362 still at n=139k CK 688 at n=78k CK 1286 at n=75k CK 1346 at n=74k[/QUOTE] Karsten, CK 362 has not had any progress since Aug. 2019. Will you be working on it in the future? 
[QUOTE=gd_barnes;577939]CK 362 has not had any progress since Aug. 2019. Will you be working on it in the future?[/QUOTE]
Yes. 
Taking 1116, 1126, 1136, 1150, 1166 to n=10000.

Taking 1218, 1290, 1326, 1334, 1360, 1384, 1388, 1404, 1432, 1452. 1466, 1468, 1472, 1482 to n=10000.

base 2970
Reserving base 2970 to n=10K
Currently have 1 prime to report to go toward the project goals: (2970^2993+1)^22 Tested up to 8.4K currently with no other primes. 
[QUOTE=NHoodMath;578450]Reserving base 2970 to n=10K
Currently have 1 prime to report to go toward the project goals: (2970^2993+1)^22 Tested up to 8.4K currently with no other primes.[/QUOTE] Are you testing both the Carol and Kynea side? 
[QUOTE=gd_barnes;578454]Are you testing both the Carol and Kynea side?[/QUOTE]
yes Testing complete to 10K, no other primes 
(1116^28681)^22
(1116^29101)^22 (1116^94811)^22 (1126^30371)^22 (1136^24721)^22 (1150^44641)^22 (1166^3981+1)^22 (1166^54451)^22 (1166^57121)^22 (1218^8623+1)^22 (1290^95981)^22 (1326^2211+1)^22 (1326^24241)^22 (1360^73021)^22 (1404^5656+1)^22 (1466^42491)^22 (1468^4351+1)^22 (1482^2071+1)^22 Are all prime. My reservation is complete. 
I am taking the remaining cases identified on [url]https://www.rieselprime.de/ziki/Category:CarolKynea_without_Carol[/url] and [url]https://www.rieselprime.de/ziki/Category:CarolKynea_without_Kynea[/url]
to n=10000. 
Releasing 2970
Reserving CK180 
[QUOTE=rogue;578536]I am taking the remaining cases identified on [URL]https://www.rieselprime.de/ziki/Category:CarolKynea_without_Carol[/URL] and [URL]https://www.rieselprime.de/ziki/Category:CarolKynea_without_Kynea[/URL]
to n=10000.[/QUOTE] I won't be showing that quantity of reservations. Good luck! :) 
I have completed the ranges I reserved. Primes have been reported in the other thread.

[QUOTE=rogue;578702]I have completed the ranges I reserved. Primes have been reported in the other thread.[/QUOTE]
For future historical reference (and a bit of my own sanity) can you please post which bases and nrange that you searched? For all that I know Karsten's links that you referred to when reserving them could change by the time that I update everything. Thanks. 
Base 180 reached n=20K yesterday, just reached 21K, no primes for n=10K21K, continuing
base 180 is very low weight base (8th lowest weight of all bases <3000) so I wasn't really expecting primes. 
These are the bases I worked on:
1516 1524 1534 1540 1542 1566 1570 1586 1592 1614 1650 1664 1668 1684 1690 1706 1724 1726 1760 1774 1788 1806 1928 1950 1962 1986 2034 2040 2064 2076 2104 2126 2128 2132 2140 2146 2168 2182 2204 2250 2266 2280 2290 2298 2300 2308 2312 2330 2334 2342 2382 2384 2398 2400 2404 2438 2474 2480 2518 2524 2530 2534 2560 2574 2586 2588 2606 2610 2614 2616 2622 2624 2626 2646 2650 2658 2660 2678 2688 2742 2768 2770 2774 2782 2794 2798 2802 2804 2830 2846 2886 2904 2918 2922 2924 2944 2962 2970 2974 2978 2994 
I am going to remove the web page that I have been updating that shows bases, primes, and reservations and turn updates over to the Wiki. Karsten has done a nice job setting that up and keeping it updated and we are effectively duplicating work. So far he has done all of the Wiki updates but anyone is welcome to set up an account and update the Wiki himself as reservations are made and primes found.
I will update the links in the first post in this thread. 
[QUOTE=gd_barnes;578817]I am going to remove the web page that I have been updating that shows bases, primes, and reservations and turn updates over to the Wiki. Karsten has done a nice job setting that up and keeping it updated and we are effectively duplicating work. So far he has done all of the Wiki updates but anyone is welcome to set up an account and update the Wiki himself as reservations are made and primes found.
I will update the links in the first post in this thread.[/QUOTE] Sounds good to me. 
Update on base 10
Base 10 is at n = 193.3 k, no primes found, continuing to n = 200 k and sieving n = 200250k, sieve depth is currently ~2.78 T.

1 Attachment(s)
Base 180 complete to n=30K
No primes found Base Released Results file attached This base fell into a very large primeless void and never came out... 
Taking b=34 and b=38. Not certain how far I will take them right now.

Base 10 complete to n = 200k, no primes found. Continuing up to n = 250 k with a sieve file sieved to p = 100 T.

pausing/sieving base 290, currently at n=175k
continuing base 362, currently at n=140k base 688 at n=79k base 1286 at n=82k base 1346 at n=81k 
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