11 897 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
39717512907617766071	20	65.1	2008-08-29 02:24:28
114369854329156868647	21	66.6	old

P-1 factors

Date	Factors	B1	B2
2023-04-06	No new factors discovered	100000000000	122192573512709696

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1889 / 9201

Estimated T-Level: 41.0 ⓘ

TF below 2^131 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	58920F8BB57C6CAB	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	58920F8BB57C6CAB	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	58920F8BB57C6CAB	2	8247	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A32A2FF4AF5EA2E7	2	10495	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A32A2FF4AF5EA2E7	2	10173	5	3

History

Date	User	Type	Result
2025-03-11	masser	NF-PP1	Start=102/37, B1=430000000, B2=429570000000
2025-02-25	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11897/114369854329156868647/39717512907617766071 : A32A2FF4AF5EA2E7
2023-04-06	-anonymous-	F-PM1	Factors: 114369854329156868647,39717512907617766071 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11897/39717512907617766071/114369854329156868647 : A32A2FF4AF5EA2E7
2017-12-07	ATH	C-PRP	M11897/39717512907617766071/114369854329156868647 : 58920F8BB57C6CAB
2017-10-02	kkmrkkblmbrbk	C-PRP	M11897/39717512907617766071/114369854329156868647 : 58920F8BB57C6CAB
2017-09-21	Oliver Kruse	C-PRP	M11897/known_factors : 58920F8BB57C6CAB
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 39717512907617766071
2008-08-29	-anonymous-	F-ECM	Factor: 39717512907617766071