5 188 697 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
3001244968569811566619241	25	81.3	2018-01-20 13:52:11
555948952851195753104362269007	30	98.8	2025-02-20 10:35:54

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1999-04-23	Wu Xiao	BA9490C79B0BA2DD	0
Verified (Factored)	2002-05-18	Jeremy Pharoah	BA9490C79B0BA2DD	4356739

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-01-25	Oliver Kruse	869163BFF5E979FF	1	3996483	5	3
Verified (Factored)	2018-01-26	kkmrkkblmbrbk	869163BFF5E979FF	1	2462777	5	3
Verified	2025-02-26	mrh	869163BFF5E979FF	2	3783359	5	3

P-1 factors

Date	Factor	B1	B2
2018-01-20	3001244968569811566619241	310000	9222500
2025-02-20	555948952851195753104362269007	3800000	9245791170

History

Date	User	Type	Result
2025-03-02	Sid & Andy	NF	no factor from 2^68 to 2^70
2025-02-26	carlds	CERT	PRP Certification Proof certified good
2025-02-26	mrh	C-PRP	M5188697/3001244968569811566619241/555948952851195753104362269007 : 869163BFF5E979FF PRP proof power = 7 PRP: Verified Proof certified good
2025-02-20	Sid & Andy	F-PM1	Factor: 555948952851195753104362269007 / (P-1, B1=3800000, B2=9245791170)
2018-01-26	kkmrkkblmbrbk	C-PRP	M5188697/3001244968569811566619241 : 869163BFF5E979FF PRP: Verified (Factored) PRP without proof (not generated)
2018-01-25	Oliver Kruse	C-PRP	M5188697/3001244968569811566619241 : 869163BFF5E979FF PRP: Verified (Factored) PRP without proof (not generated)
2018-01-20	Squeeky_Squirrel	F-PM1	Factor: 3001244968569811566619241 / (P-1, B1=310000, B2=9222500, E=12)
2016-06-10	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-08-09	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-19	VictordeHollander	NF	no factor from 2^64 to 2^65
2014-12-19	VictordeHollander	NF	no factor from 2^63 to 2^64
2009-10-11	USAFSS	NF-PM1	B1=60000, B2=975000, E=6
2009-06-20	GrunwalderGIMP	NF	no factor from 2^62 to 2^63