14 197 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
8177473	7	23.0	old
21806593	8	24.4	2008-08-26 19:58:42
90945983	8	26.4	2008-08-26 19:58:42
130811159	9	27.0	2008-08-26 19:58:42
3279154318127	13	41.6	2008-08-26 19:58:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1424 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	24CEEB0405B55204	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	24CEEB0405B55204	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	24CEEB0405B55204	5	1357	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C2EF9AB89DDDC856	5	14037	5	3
Verified	No proof (small exponent)	2023-06-11	LordJulius	C2EF9AB89DDDC856	5	7677	5	3

History

Date	User	Type	Result
2025-02-16	masser	NF-PP1	Start=149/47, B1=355000000, B2=354645000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-20	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=122815096988293710
2023-06-11	LordJulius	C-PRP	M14197/8177473/21806593/90945983/130811159/3279154318127 : C2EF9AB89DDDC856
2023-05-24	JacobZ	NF-PM1	B1=7700000000, B2=32522539163164050
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M14197/8177473/21806593/90945983/130811159/3279154318127 : C2EF9AB89DDDC856
2017-12-07	ATH	C-PRP	M14197/8177473/21806593/90945983/130811159/3279154318127 : 24CEEB0405B55204
2017-10-02	kkmrkkblmbrbk	C-PRP	M14197/8177473/21806593/90945983/130811159/3279154318127 : 24CEEB0405B55204
2017-09-21	Oliver Kruse	C-PRP	M14197/8177473/21806593/90945983/130811159/3279154318127 : 24CEEB0405B55204
2017-09-21	Oliver Kruse	C-PRP	M14197/8177473/21806593/90945983/130811159/3279154318127 : 24CEEB0405B55204
2008-08-26	-anonymous-	F	Factor: 3279154318127
2008-08-26	-anonymous-	F	Factor: 130811159
2008-08-26	-anonymous-	F	Factor: 90945983
2008-08-26	-anonymous-	F	Factor: 21806593