11 897 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

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

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	58920F8BB57C6CAB	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	58920F8BB57C6CAB	2	0	1	3
Verified	2017-12-07	ATH	58920F8BB57C6CAB	2	8247	1	3
Verified	2020-04-17	Oliver Kruse	A32A2FF4AF5EA2E7	2	10495	5	3
Verified	2024-07-01	kkmrkkblmbrbk	A32A2FF4AF5EA2E7	2	10173	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-06	4542486165560651572464691706315720275937	100000000000	122192573512709696

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M11897/114369854329156868647/39717512907617766071 : A32A2FF4AF5EA2E7 PRP: Verified PRP without proof (small exponent)
2023-04-06	-Anonymous-	F-PM1	Factors: 114369854329156868647,39717512907617766071 / (P-1, B1=100000000000, B2=122192573512709700)
2020-04-17	Oliver Kruse	C-PRP	M11897/39717512907617766071/114369854329156868647 : A32A2FF4AF5EA2E7 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M11897/39717512907617766071/114369854329156868647 : 58920F8BB57C6CAB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M11897/39717512907617766071/114369854329156868647 : 58920F8BB57C6CAB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11897/known_factors : 58920F8BB57C6CAB PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 39717512907617766071