1 892 057 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
5199460472576955160703	22	72.1	2013-10-17 22:29:23
3868824462846807778780201	25	81.7	2023-08-15 03:32:08

ECM

Digits	B1	Curves
25	50000	268 / 280

Estimated T-Level: 24.8 ⓘ

TF below 2^77 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Greg S. Johnson	ADF6B5DC10CDCE5F	0
Verified (Factored)	1999-01-29	Michael Pfeiffer	ADF6B5DC10CDCE5F	81138

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	4FEAF21E464783AD	1	0	1	3
Verified (Factored)	2017-11-08	kkmrkkblmbrbk	4FEAF21E464783AD	1	1378500	1	3
Verified	2023-08-15	Kevin_9611	3EDE2BB98B3A65E6	2	1246291	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-15	3868824462846807778780201	330000	581068950

History

Date	User	Type	Result
2023-08-15	curtisc	CERT	PRP Certification Proof certified good
2023-08-15	Kevin_9611	C-PRP	M1892057/5199460472576955160703/3868824462846807778780201 : 3EDE2BB98B3A65E6 PRP proof power = 7 PRP: Verified Proof certified good
2023-08-15	Kevin_9611	F-PM1	Factor: 3868824462846807778780201 / (P-1, B1=330000, B2=581068950)
2017-11-08	kkmrkkblmbrbk	C-PRP	M1892057/5199460472576955160703 : 4FEAF21E464783AD PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1892057/5199460472576955160703 : 4FEAF21E464783AD PRP: Verified (Factored) PRP without proof (not generated)
2013-10-17	Chang Chia-Tche	F-ECM	Factor: 5199460472576955160703
2012-01-20	markr	NF-PM1	B1=275000, B2=6000000, E=12
2011-03-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-11	Architects Cubed	NF	no factor from 2^60 to 2^61