Carol / Kynea Primes - Page 17

kar_bon · 2018-02-23, 12:03

CK240 tested to n=10k
primes

Code:

(-1) 1, 261
(+1) 3, 201, 779, 1211

sweety439 · 2018-02-24, 11:28

CK360 tested to n=10K

Primes:

Code:

(360^1-1)^2-2
(360^3-1)^2-2
(360^4+1)^2-2
(360^7-1)^2-2
(360^15+1)^2-2
(360^16+1)^2-2
(360^31-1)^2-2
(360^63+1)^2-2
(360^108+1)^2-2
(360^1080-1)^2-2
(360^2290+1)^2-2

sweety439 · 2018-02-24, 11:31

CK242 tested to n=10K

primes:

Code:

(242^4+1)^2-2
(242^5-1)^2-2
(242^13+1)^2-2
(242^34+1)^2-2
(242^93+1)^2-2
(242^119-1)^2-2
(242^396+1)^2-2
(242^514+1)^2-2
(242^2056+1)^2-2
(242^7765+1)^2-2

CK244 tested to n=10K

primes:

Code:

(244^3+1)^2-2
(244^17+1)^2-2
(244^19+1)^2-2
(244^21+1)^2-2
(244^25-1)^2-2
(244^65+1)^2-2
(244^70+1)^2-2
(244^200+1)^2-2
(244^404-1)^2-2
(244^1128+1)^2-2
(244^6742+1)^2-2
(244^7510+1)^2-2

CK246 tested to n=10K

primes:

Code:

(246^1+1)^2-2
(246^4-1)^2-2
(246^9+1)^2-2
(246^46-1)^2-2
(246^57-1)^2-2
(246^122-1)^2-2
(246^236+1)^2-2
(246^266-1)^2-2
(246^364-1)^2-2
(246^561+1)^2-2
(246^565-1)^2-2
(246^735+1)^2-2
(246^741+1)^2-2
(246^816+1)^2-2
(246^2302-1)^2-2
(246^6940+1)^2-2
(246^7589-1)^2-2

sweety439 · 2018-02-24, 11:33

CK248 tested to n=10K

primes:

Code:

(248^1-1)^2-2
(248^6-1)^2-2
(248^45+1)^2-2
(248^55-1)^2-2
(248^100+1)^2-2
(248^1248-1)^2-2
(248^3588+1)^2-2

CK250 tested to n=10K

primes:

Code:

(250^4-1)^2-2
(250^7+1)^2-2
(250^34-1)^2-2
(250^90+1)^2-2
(250^132-1)^2-2

CK254 tested to n=10K

primes:

Code:

(254^1-1)^2-2
(254^3+1)^2-2
(254^27-1)^2-2
(254^45-1)^2-2
(254^56+1)^2-2
(254^144+1)^2-2
(254^295-1)^2-2
(254^2730+1)^2-2
(254^5864+1)^2-2

sweety439 · 2018-02-24, 11:44

Quote:

Originally Posted by sweety439

CK360 tested to n=10K

Primes:

Code:

(360^1-1)^2-2
(360^3-1)^2-2
(360^4+1)^2-2
(360^7-1)^2-2
(360^15+1)^2-2
(360^16+1)^2-2
(360^31-1)^2-2
(360^63+1)^2-2
(360^108+1)^2-2
(360^1080-1)^2-2
(360^2290+1)^2-2

Result files: (this means that I really tested n to 10K)

kar_bon · 2018-02-25, 19:55

CK432 tested to n=10k
primes

Code:

(-1) 8742
(+1) 6, 1227

gd_barnes · 2018-02-27, 02:13

Base 48 is complete to n=30K. 4 new primes found for n=10K-30K:

(48^15067-1)^2-2
(48^15085-1)^2-2

(48^13274+1)^2-2
(48^25978+1)^2-2

gd_barnes · 2018-02-27, 17:20

Jiahao He has completed bases 206, 208, 210, and 212 to n=10K. Primes found:

Code:

Base 206:
(206^1-1)^2-2
(206^2-1)^2-2
(206^6+1)^2-2
(206^103-1)^2-2
(206^684+1)^2-2
(206^2529+1)^2-2
(206^2550+1)^2-2
(206^2607-1)^2-2
 
Base 208:
(208^2+1)^2-2
(208^3-1)^2-2
(208^10-1)^2-2
(208^24-1)^2-2
(208^660-1)^2-2
(208^1468-1)^2-2
(208^2244+1)^2-2
 
Base 210:
(210^1+1)^2-2
(210^5+1)^2-2
(210^7+1)^2-2
(210^7-1)^2-2
(210^17-1)^2-2
(210^34+1)^2-2
(210^254+1)^2-2
(210^1197-1)^2-2
(210^6961+1)^2-2
 
Base 212:
(212^1-1)^2-2
(212^2+1)^2-2
(212^6-1)^2-2
(212^14+1)^2-2
(212^33+1)^2-2
(212^503+1)^2-2
(212^580-1)^2-2
(212^1601+1)^2-2
(212^1933-1)^2-2
(212^4050-1)^2-2
(212^4230+1)^2-2

sweety439 · 2018-02-28, 16:44

CK394 tested to n=10K, only one prime found:

(394^198+1)^2-2

Still no prime found for the Carol side.

This base seems to be a low-weight base.

Update the result file.

sweety439 · 2018-02-28, 18:06

CK362 tested to n=10K.

Primes:

(362^156+1)^2-2
(362^264+1)^2-2
(362^630+1)^2-2
(362^794+1)^2-2

Still no prime found for the Carol side.

kar_bon · 2018-03-01, 08:16

CK600 tested to n=10k.
primes

Code:

(-1) 4606, 6509
(+1) 61

2018-02-23, 12:03	#177
kar_bon Mar 2006 Germany B5C₁₆ Posts	CK240 tested to n=10k primes Code: (-1) 1, 261 (+1) 3, 201, 779, 1211

2018-02-24, 11:28	#178
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2×1,459 Posts	CK360 tested to n=10K Primes: Code: (360^1-1)^2-2 (360^3-1)^2-2 (360^4+1)^2-2 (360^7-1)^2-2 (360^15+1)^2-2 (360^16+1)^2-2 (360^31-1)^2-2 (360^63+1)^2-2 (360^108+1)^2-2 (360^1080-1)^2-2 (360^2290+1)^2-2

2018-02-25, 19:55	#182
kar_bon Mar 2006 Germany 2²·727 Posts	CK432 tested to n=10k primes Code: (-1) 8742 (+1) 6, 1227

2018-02-27, 02:13	#183
gd_barnes May 2007 Kansas; USA 2²×19×137 Posts	Base 48 is complete to n=30K. 4 new primes found for n=10K-30K: (48^15067-1)^2-2 (48^15085-1)^2-2 (48^13274+1)^2-2 (48^25978+1)^2-2 Last fiddled with by gd_barnes on 2018-02-27 at 02:13

2018-03-01, 08:16	#187
kar_bon Mar 2006 Germany 2²×727 Posts	CK600 tested to n=10k. primes Code: (-1) 4606, 6509 (+1) 61

2018-02-28, 18:06	#186
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2918₁₀ Posts	CK362 tested to n=10K. Primes: (362^156+1)^2-2 (362^264+1)^2-2 (362^630+1)^2-2 (362^794+1)^2-2 Still no prime found for the Carol side.

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