Carol / Kynea 2021 Project Goals

[rogue]

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: 1 to go
• Search all bases <=50 to n = 100k : 40, 46, 48: 3 to go
• Search all bases <=100 to n = 50k: 25 to go
• Search base 2 to n = 1M: searched to 768870

[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

[rogue]

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.

[gd_barnes]

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I noticed that (dead link) is out of date.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.

[gd_barnes]

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.

[rogue]

(1326^2211+1)^2-2 is prime. There are more primes found so far, but none of them impact any of the project goals

[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.

[gd_barnes]

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.

[rogue]

Ugh! I keep getting the -1 and +1 forms mixed up.