2 768 191 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
19683168952473596623	20	64.1	2013-03-06 23:48:54

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)		Ingo Kuehlborn	93F83E8C1F2D5890	0
Verified (Factored)	1999-05-23	Markus Schauler	93F83E8C1F2D5890	336083

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-20	Oliver Kruse	501FFA6CD907019E	1	278123	5	3
Verified	2017-12-06	kkmrkkblmbrbk	501FFA6CD907019E	1	2507120	5	3

History

Date	User	Type	Result
2023-01-29	USAFSS	NF-PM1	B1=360000, B2=287380170
2017-12-06	kkmrkkblmbrbk	C-PRP	M2768191/19683168952473596623 : 501FFA6CD907019E PRP: Verified PRP without proof (not generated)
2017-10-20	Oliver Kruse	C-PRP	M2768191/19683168952473596623 : 501FFA6CD907019E PRP: Verified PRP without proof (not generated)
2013-03-06	Torchwood Institute	F-ECM	Factor: 19683168952473596623
2013-01-10	dbaugh	NF	no factor from 2^62 to 2^63
2012-03-11	markr	NF	no factor from 2^61 to 2^62
2010-12-01	markr	NF-PM1	B1=110000, B2=2365000, E=6
2009-01-30	Sturle Sunde	NF	no factor from 2^60 to 2^61