Carol / Kynea Primes

[sweety439]

Originally Posted by rogue

My Carol/Kynea webpage has been updated!

Your webpage does not include the base 48 prime (48^1153+1)^2-2 and some other primes (see the post #84)

[rogue]

Yes, I could update that, but I also recommend that participates search in ranges of 10000. As of now I will make that a requirement.

As soon as you complete that base to 10000, I will do the update. Incremental updates waste too much of my time.

[sweety439]

Originally Posted by rogue

Yes, I could update that, but I also recommend that participates search in ranges of 10000. As of now I will make that a requirement.

As soon as you complete that base to 10000, I will do the update. Incremental updates waste too much of my time.

Also, your page has errors: You missed the prime (44^1288-1)^2-2 for base 44, and the prime for base 44 n=12909 is (44^12909-1)^2-2, not (44^12909+1)^2-2.

[rogue]

Originally Posted by sweety439

Also, your page has errors: You missed the prime (44^1288-1)^2-2 for base 44, and the prime for base 44 n=12909 is (44^12909-1)^2-2, not (44^12909+1)^2-2.

Thanks for pointing that out. I'll fix that as soon as I can.

[Dylan14]

For base 214, 1 <= n <= 10000, the following primes were found:

 (214^5-1)^2-2
 (214^36-1)^2-2
 (214^52+1)^2-2
 (214^132+1)^2-2
 (214^1571-1)^2-2
 (214^2614+1)^2-2

For base 218, 1 <= n <= 10000, the following primes were found:

 (218^1-1)^2-2
 (218^17+1)^2-2
 (218^32+1)^2-2
 (218^52-1)^2-2
 (218^78+1)^2-2
 (218^312+1)^2-2
 (218^397-1)^2-2
 (218^969-1)^2-2
 (218^1216+1)^2-2

Finally, I found an error on your webpage: (14^584+1)^2-2 is composite, but (14^5844+1)^2-2 is prime.

[rogue]

Thanks for the primes and for catching the mistake.

[Dylan14]

For base 220, 1 <= n <= 10000, the following primes were found:

 (220^3+1)^2-2
 (220^30-1)^2-2
 (220^60-1)^2-2
 (220^63-1)^2-2
 (220^780-1)^2-2
 (220^1728+1)^2-2
 (220^8610+1)^2-2

For base 222, 1 <= n <= 10000, the following primes were found:

 (222^1+1)^2-2
 (222^3-1)^2-2
 (222^93+1)^2-2
 (222^118-1)^2-2
 (222^186-1)^2-2
 (222^208-1)^2-2

[sweety439]

hi, rogue,

I found two errors in your list, (10^123+1)^2-2 is not prime (it is divisible by 41), and your list does not include the prime (114^3-1)^2-2.

[rogue]

Originally Posted by sweety439

hi, rogue,

I found two errors in your list, (10^123+1)^2-2 is not prime (it is divisible by 41), and your list does not include the prime (114^3-1)^2-2.

Thanks for the corrections. Can you tell me if these were my mistakes? If it was my mistake, then it could be a typo.

[Dylan14]

Originally Posted by rogue

Thanks for the corrections. Can you tell me if these were my mistakes? If it was my mistake, then it could be a typo.

The first mistake, (10^123+1)^2-2, should be (10^123-1)^2-2 (see Batalov's post, http://www.mersenneforum.org/showpos...40&postcount=7).
The second mistake, (114^3-1)^2-2, was originally found by lalera (http://www.mersenneforum.org/showpos...3&postcount=32). It appears as though you forgot to put it in the list.
Also, the prime (218^397-1)^2-2 is not on the list.

[rogue]

Okay. I've updated my web page. If you discover another problem, please let me know.