CK364 tested to n=10K

Primes:

(364^4+1)^2-2
(364^14+1)^2-2
(364^16+1)^2-2
(364^1139-1)^2-2

Found the smallest Carol prime in base 364: (364^1139-1)^2-2

CK368 tested to n=10K

Primes:

(368^969+1)^2-2
(368^1856-1)^2-2

Found the smallest Carol prime in base 368: (368^1856-1)^2-2

CK472 tested to n=10K

Primes:

(472^10+1)^2-2
(472^459+1)^2-2
(472^7307+1)^2-2

Still no prime found for the Carol side.

IMO, searching more bases to n=10000 is picking low fruit. I suggest looking for bigger primes for smaller bases.

CK542 tested to n=10k
Primes:
[code]
(-1) 1, 2, 3, 8, 954, 4669, 7267
(+1)
[/code]

CK426 tested to n=10K

Primes:

(426^1-1)^2-2
(426^41-1)^2-2
(426^680-1)^2-2
(426^2042-1)^2-2
(426^2233-1)^2-2
(426^9475-1)^2-2
(426^9708+1)^2-2

Found the smallest Kynea prime in base 426: (426^9708+1)^2-2

Base 52 is complete to n=30K. 2 new primes found for n=10K-30K:

(52^23234-1)^2-2

(52^14410+1)^2-2

New prime for CK44 (and new 5th highest of Kynea-side):

(44^95940+1)^2-2 is prime (315346 digits)

Nice find Karsten! :smile:

Base 54 is complete to n=30K. 1 new prime found for n=10K-30K:

(54^21415+1)^2-2

Base 56 is complete to n=30K. 1 new prime found for n=10K-30K:

(56^26698-1)^2-2