mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   And now for something completely different (https://www.mersenneforum.org/forumdisplay.php?f=119)
-   -   Carol / Kynea Primes (https://www.mersenneforum.org/showthread.php?t=21251)

kar_bon 2018-02-23 12:03

CK240 tested to n=10k
primes
[code]
(-1) 1, 261
(+1) 3, 201, 779, 1211
[/code]

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
[/CODE]

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
[/CODE]

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
[/CODE]

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
[/CODE]

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
[/CODE]

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
[/CODE]

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
[/CODE]

sweety439 2018-02-24 11:44

2 Attachment(s)
[QUOTE=sweety439;480753]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
[/CODE][/QUOTE]

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
[/code]

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
[/code]

sweety439 2018-02-28 16:44

1 Attachment(s)
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
[/code]


All times are UTC. The time now is 14:19.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.