Carol / Kynea Primes - Page 19

gd_barnes · 2018-03-30, 23:03

Base 58 is complete to n=30K. 2 new primes found for n=10K-30K:

(58^23046+1)^2-2
(58^29505+1)^2-2

kar_bon · 2018-04-24, 07:26

CK 290 at n=60k, no new primes

CK 362 at n=53k: new prime (362^46308+1)^2-2 (236978 digits)

Dylan14 · 2018-06-02, 20:09

Base 18 is complete to n = 50k. One prime found for n = 40k-50k:

Code:

 (18^40485+1)^2-2

Dylan14 · 2018-07-06, 23:53

Base 472 is complete to n = 25k. Three primes found for n = 10k-25k, including the first Carol prime for this base:

Code:

 (472^14542+1)^2-2
 (472^16077-1)^2-2
 (472^17019+1)^2-2

kar_bon · 2018-09-03, 07:32

CK12 at n=74k: new prime (12^68835-1)^2-2 (148571) digits
CK290 at n=100k, continuing
CK362 at n=88k, continuing

Dylan14 · 2018-09-12, 00:50

Base 102 is searched to n = 30k. One prime found for n = 10k-30k:

Code:

(102^13808-1)^2-2

kar_bon · 2018-09-12, 07:36

(12^78858+1)^2-2 is prime: 170205 digits

paulunderwood · 2019-03-03, 03:52

Congrats to kar_bon for (290^124116-1)^2-2 (611,246 decimal digits long)

kar_bon · 2019-03-03, 09:01

Yes, I thought to wait until it's verified before posting here, took some time.

Base 290 is the first without a prime on the Kynea (+1) side so that's why I'm searching here but found 'only' one on the Carol side.
Altough it's now the biggest prime of such format.
C.Caldwells database do not support the naming of "Carol/Kynea" in official so only the clean entry.

Base 362 is the one without and prime on the Carol side so searching that base, too.

gd_barnes · 2019-03-07, 05:28

Quote:

Originally Posted by paulunderwood

Congrats to kar_bon for (290^124116-1)^2-2 (611,246 decimal digits long)

Nice one Karsten! The largest that the project has found!

lalera · 2019-04-03, 13:49

hi,
here are the results for carol / kynea
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

(328^2315+1)^2-2
(328^3116-1)^2-2

(332^4305+1)^2-2

(334^4485-1)^2-2

(336^7070+1)^2-2

(340^7581-1)^2-2

2018-04-24, 07:26	#200
kar_bon Mar 2006 Germany 2³×3×11² Posts	Status CK 290 at n=60k, no new primes CK 362 at n=53k: new prime (362^46308+1)^2-2 (236978 digits)

2018-06-02, 20:09	#201
Dylan14 "Dylan" Mar 2017 3·193 Posts	Base 18 is complete to n = 50k. One prime found for n = 40k-50k: Code: (18^40485+1)^2-2

2018-07-06, 23:53	#202
Dylan14 "Dylan" Mar 2017 579₁₀ Posts	Base 472 is complete to n = 25k. Three primes found for n = 10k-25k, including the first Carol prime for this base: Code: (472^14542+1)^2-2 (472^16077-1)^2-2 (472^17019+1)^2-2

2018-09-03, 07:32	#203
kar_bon Mar 2006 Germany 2³×3×11² Posts	status CK12 at n=74k: new prime (12^68835-1)^2-2 (148571) digits CK290 at n=100k, continuing CK362 at n=88k, continuing

2018-09-12, 00:50	#204
Dylan14 "Dylan" Mar 2017 3·193 Posts	Base 102 is searched to n = 30k. One prime found for n = 10k-30k: Code: (102^13808-1)^2-2

2018-03-30, 23:03	#199
gd_barnes May 2007 Kansas; USA 3³×5×7×11 Posts	Base 58 is complete to n=30K. 2 new primes found for n=10K-30K: (58^23046+1)^2-2 (58^29505+1)^2-2

2018-09-12, 07:36	#205
kar_bon Mar 2006 Germany 5530₈ Posts	(12^78858+1)^2-2 is prime: 170205 digits

2019-03-03, 03:52	#206
paulunderwood Sep 2002 Database er0rr 3,739 Posts	Congrats to kar_bon for (290^124116-1)^2-2 (611,246 decimal digits long)

2019-03-03, 09:01	#207
kar_bon Mar 2006 Germany 2³·3·11² Posts	Yes, I thought to wait until it's verified before posting here, took some time. Base 290 is the first without a prime on the Kynea (+1) side so that's why I'm searching here but found 'only' one on the Carol side. Altough it's now the biggest prime of such format. C.Caldwells database do not support the naming of "Carol/Kynea" in official so only the clean entry. Base 362 is the one without and prime on the Carol side so searching that base, too.

2019-04-03, 13:49	#209
lalera Jul 2003 13·47 Posts	hi, here are the results for carol / kynea 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 (328^2315+1)^2-2 (328^3116-1)^2-2 (332^4305+1)^2-2 (334^4485-1)^2-2 (336^7070+1)^2-2 (340^7581-1)^2-2

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