Carol / Kynea Primes - Page 20

lalera · 2019-04-04, 17:29

hi,
here are the results for carol / kynea
b=344, n=2000 to 10000
b=346, n=2000 to 10000
b=348, n=2000 to 10000
b=350, n=2000 to 10000
b=352, n=2000 to 10000
b=354, n=2000 to 10000
b=356, n=2000 to 10000
b=358, n=2000 to 10000

(344^2002-1)^2-2
(344^4030-1)^2-2
(344^9438+1)^2-2

(346^2428+1)^2-2

(350^3240-1)^2-2
(350^5512-1)^2-2

(352^8811+1)^2-2

(356^3027-1)^2-2
(356^5470+1)^2-2
(356^7365+1)^2-2

(358^3053+1)^2-2
(358^5600+1)^2-2

Dylan14 · 2019-04-05, 12:27

Base 5040 was searched up to n=10k. Seven primes found for n=1-10k:

Code:

 (5040^2-1)^2-2
 (5040^18+1)^2-2
 (5040^54+1)^2-2
 (5040^246+1)^2-2
 (5040^1055-1)^2-2
 (5040^8459+1)^2-2
 (5040^8996-1)^2-2

kar_bon · 2019-04-05, 13:11

Two bases with least n-value > 2000:

CK 552
-1: 6
+1: 2139, 2883

CK 632
-1: 6915
+1: 2, 6, 15, 54, 444

Both bases checked to n=10k.

Dylan14 · 2019-04-09, 16:38

Base 542 was tested up to n=25k. One prime found for n=10k-25k:

Code:

(542^13476+1)^2-2

sweety439 · 2019-04-10, 10:44

Quote:

Originally Posted by Dylan14

Base 542 was tested up to n=25k. One prime found for n=10k-25k:

Code:

(542^13476+1)^2-2

Nice for the smallest Kynea for this base

lalera · 2019-04-18, 14:56

hi,
here are the results for carol / kynea
b=106, n=10000 to 30000
b=108, n=10000 to 30000
b=110, n=10000 to 30000
b=112, n=10000 to 30000

Code:

(106^17138-1)^2-2
(108^24374-1)^2-2
(108^27756-1)^2-2
(110^17365+1)^2-2
(112^12953+1)^2-2
(112^26024-1)^2-2

lalera · 2019-05-11, 12:11

hi,
here are the results for carol / kynea
b=114, n=10000 to 30000
b=116, n=10000 to 30000
b=118, n=10000 to 30000
b=122, n=10000 to 30000
b=124, n=10000 to 30000
b=126, n=10000 to 30000

Code:

(114^12141+1)^2-2
(114^13896+1)^2-2
(114^14021+1)^2-2
(116^10752-1)^2-2
(116^12122-1)^2-2
(116^12655+1)^2-2
(122^20196+1)^2-2
(122^27356-1)^2-2
(124^23101+1)^2-2
(126^19560+1)^2-2
(126^20563+1)^2-2

rogue · 2019-06-02, 17:25

(20^92990+1)^2-2 is prime.

Should be done with b=20 to n=100000 within a week.

kar_bon · 2019-06-17, 08:00

Another Top5000:

(362^133647+1)^2-2 (683928 digits) is on the fly.

So the "wrong" side I'm still continuing.

paulunderwood · 2019-06-17, 10:32

Quote:

Originally Posted by kar_bon

Another Top5000:

(362^133647+1)^2-2 (683928 digits) is on the fly.

So the "wrong" side I'm still continuing.

Congrats on a monster generically modularly reduced prime

gd_barnes · 2019-06-17, 23:04

Quote:

Originally Posted by kar_bon

Another Top5000:

(362^133647+1)^2-2 (683928 digits) is on the fly.

So the "wrong" side I'm still continuing.

Congrats on the largest Kynea prime ever found!

2019-04-05, 12:27	#211
Dylan14 "Dylan" Mar 2017 243₁₆ Posts	Base 5040 was searched up to n=10k. Seven primes found for n=1-10k: Code: (5040^2-1)^2-2 (5040^18+1)^2-2 (5040^54+1)^2-2 (5040^246+1)^2-2 (5040^1055-1)^2-2 (5040^8459+1)^2-2 (5040^8996-1)^2-2

2019-04-05, 13:11	#212
kar_bon Mar 2006 Germany B58₁₆ Posts	Filling holes Two bases with least n-value > 2000: CK 552 -1: 6 +1: 2139, 2883 CK 632 -1: 6915 +1: 2, 6, 15, 54, 444 Both bases checked to n=10k.

2019-04-09, 16:38	#213
Dylan14 "Dylan" Mar 2017 1103₈ Posts	Base 542 was tested up to n=25k. One prime found for n=10k-25k: Code: (542^13476+1)^2-2

2019-04-18, 14:56	#215
lalera Jul 2003 13·47 Posts	hi, here are the results for carol / kynea b=106, n=10000 to 30000 b=108, n=10000 to 30000 b=110, n=10000 to 30000 b=112, n=10000 to 30000 Code: (106^17138-1)^2-2 (108^24374-1)^2-2 (108^27756-1)^2-2 (110^17365+1)^2-2 (112^12953+1)^2-2 (112^26024-1)^2-2

2019-05-11, 12:11	#216
lalera Jul 2003 13×47 Posts	hi, here are the results for carol / kynea b=114, n=10000 to 30000 b=116, n=10000 to 30000 b=118, n=10000 to 30000 b=122, n=10000 to 30000 b=124, n=10000 to 30000 b=126, n=10000 to 30000 Code: (114^12141+1)^2-2 (114^13896+1)^2-2 (114^14021+1)^2-2 (116^10752-1)^2-2 (116^12122-1)^2-2 (116^12655+1)^2-2 (122^20196+1)^2-2 (122^27356-1)^2-2 (124^23101+1)^2-2 (126^19560+1)^2-2 (126^20563+1)^2-2

2019-04-04, 17:29	#210
lalera Jul 2003 1143₈ Posts	hi, here are the results for carol / kynea b=344, n=2000 to 10000 b=346, n=2000 to 10000 b=348, n=2000 to 10000 b=350, n=2000 to 10000 b=352, n=2000 to 10000 b=354, n=2000 to 10000 b=356, n=2000 to 10000 b=358, n=2000 to 10000 (344^2002-1)^2-2 (344^4030-1)^2-2 (344^9438+1)^2-2 (346^2428+1)^2-2 (350^3240-1)^2-2 (350^5512-1)^2-2 (352^8811+1)^2-2 (356^3027-1)^2-2 (356^5470+1)^2-2 (356^7365+1)^2-2 (358^3053+1)^2-2 (358^5600+1)^2-2

2019-06-02, 17:25	#217
rogue "Mark" Apr 2003 Between here and the 14313₈ Posts	(20^92990+1)^2-2 is prime. Should be done with b=20 to n=100000 within a week.

2019-06-17, 08:00	#218
kar_bon Mar 2006 Germany 2³·3·11² Posts	Another Top5000: (362^133647+1)^2-2 (683928 digits) is on the fly. So the "wrong" side I'm still continuing.

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