908 057 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
566627569	9	29.1	old
17970448031	11	34.1	2008-07-16 09:28:37
698092428233	12	39.3	2008-07-16 09:28:37
1966687140005281	16	50.8	2014-06-09 13:53:21
9604251811275161	16	53.1	2014-09-04 09:10:20
5509398112923382199	19	62.3	2016-02-19 14:35:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	167 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-05	Oliver Kruse	0ACC4095AB9823C9	6	0	1	3
Verified	2017-10-14	Oliver Kruse	0ACC4095AB9823C9	6	571959	1	3
Verified	2017-12-20	ATH	0ACC4095AB9823C9	6	469901	1	3
Verified	2020-04-23	Oliver Kruse	5349DD8D58A8D1C1	6	18698	5	3
Verified	2025-05-15	kkmrkkblmbrbk	5349DD8D58A8D1C1	6	421594	5	3

History

Date	User	Type	Result
2025-05-15	ANONYMOUS	CERT	PRP Certification Proof certified good
2025-05-15	kkmrkkblmbrbk	C-PRP	M908057/566627569/17970448031/698092428233/1966687140005281/9604251811275161/5509398112923382199 : 5349DD8D58A8D1C1 PRP proof power = 6 PRP: Verified Proof certified good
2024-11-21	axn	NF-PM1	B1=1000000000, B2=20023997663670
2023-02-13	Kevin_9611	NF-PM1	B1=6250000, B2=10056289320
2023-02-09	Kevin_9611	NF-PM1	B1=2500000, B2=2540517210
2020-04-23	Oliver Kruse	C-PRP	M908057/566627569/17970448031/698092428233/1966687140005281/9604251811275161/5509398112923382199 : 5349DD8D58A8D1C1 PRP: Verified PRP without proof (small exponent)
2017-12-20	ATH	C-PRP	M908057/566627569/17970448031/698092428233/1966687140005281/9604251811275161/5509398112923382199 : 0ACC4095AB9823C9 PRP: Verified PRP without proof (small exponent)
2017-10-14	Oliver Kruse	C-PRP	M908057/566627569/17970448031/698092428233/1966687140005281/9604251811275161/5509398112923382199 : 0ACC4095AB9823C9 PRP: Verified PRP without proof (small exponent)
2017-10-05	Oliver Kruse	C-PRP	M908057/566627569/17970448031/698092428233/1966687140005281/9604251811275161/5509398112923382199 : 0ACC4095AB9823C9 PRP: Verified PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M908057/566627569/17970448031/698092428233/1966687140005281/9604251811275161/5509398112923382199 : 0ACC4095AB9823C9 PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=200000, B2=5000000, E=6
2016-02-19	TJAOI	F-ECM	Factor: 5509398112923382199 / (ECM curve 8, B1=50000, B2=5000000)
2014-09-04	TJAOI	F	Factor: 9604251811275161
2014-06-09	TJAOI	F	Factor: 1966687140005281
2008-07-16	J Feitsma	F	Factor: 698092428233
2008-07-16	J Feitsma	F	Factor: 17970448031