1 946 657 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2168584997951824993	19	60.9	2015-09-29 11:26:51
3883771276230807056497	22	71.7	2009-08-12 17:20:57
8977305416092787410103	22	72.9	2022-04-14 10:51:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Mischa Kenn	6AE3709E19399C26	0
Bad	1999-03-15	David Phillips	EF38711A78E11A0A	1074254
Verified (Factored)	1999-05-23	Dennis Williamson	6AE3709E19399C26	1178661

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	EF5FE7BF84E7B15E	2	0	1	3
Verified (Factored)	2017-11-15	kkmrkkblmbrbk	EF5FE7BF84E7B15E	2	406408	1	3
Verified	2022-04-20	Poao	3CC5EFDE2B799424	3	85454	5	3

P-1 factors

Date	Factor	B1	B2
2015-09-29	2168584997951824993	500000	15000000

History

Date	User	Type	Result
2022-04-20	MathEnthousiast	CERT	PRP Certification Proof certified good
2022-04-20	Poao	C-PRP	M1946657/3883771276230807056497/2168584997951824993/8977305416092787410103 : 3CC5EFDE2B799424 PRP proof power = 7 PRP: Verified Proof certified good
2022-04-14	TJAOI	F-ECM	Factor: 8977305416092787410103 / (ECM curve 24, B1=50000, B2=7500000)
2017-11-15	kkmrkkblmbrbk	C-PRP	M1946657/2168584997951824993/3883771276230807056497 : EF5FE7BF84E7B15E PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1946657/3883771276230807056497/2168584997951824993 : EF5FE7BF84E7B15E PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1946657/3883771276230807056497/2168584997951824993 : EF5FE7BF84E7B15E PRP without proof (not generated)
2015-09-29	alpertron	F-PM1	Factor: 2168584997951824993 / (P-1, B1=500000, B2=15000000, E=12)
2009-08-12	SubPrime	F-ECM	Factor: 3883771276230807056497