4 873 303 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
212434104478378791817	21	67.5	2013-12-20 10:43:48

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-06-07	Frank Gentges	2689A645DEE63EFE	0
Verified (Factored)	2000-09-15	Juergen Mueller	2689A645DEE63EFE	4495619

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	085E67D4571C337D	1	0	1	3
Verified	2018-04-01	Oliver Kruse	085E67D4571C337D	1	2295156	1	3

P-1 factors

Date	Factor	B1	B2
2013-12-20	212434104478378791817	410000	0

History

Date	User	Type	Result
2023-04-13	Kevin_9611	NF-PM1	B1=320000, B2=224341260
2018-04-01	Oliver Kruse	C-PRP	M4873303/212434104478378791817 : 085E67D4571C337D PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4873303/212434104478378791817 : 085E67D4571C337D PRP: Verified PRP without proof (not generated)
2013-12-20	David Campeau	F-PM1	Factor: 212434104478378791817
2011-10-09	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-18	markr	NF	no factor from 2^61 to 2^62
2009-08-17	Carsten Kossendey	NF-PM1	B1=30000, B2=435000