2 540 113 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
312234113144836721705924879	27	88.0	2020-07-09 19:23:42

ECM

Digits	B1	Curves
25	50000	45 / 280

Estimated T-Level: 20.8 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Thomas Honold	8659E306099B6F79	0
Verified (Factored)	1999-06-15	Kent Lee	8659E306099B6F79	629751
Verified (Factored)	2018-06-09	kkmrkkblmbrbk	8659E306099B6F79	1522348

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-07-10	mnd9	35CCE63B111F69D3	1	1104482	5	3
Verified	2020-07-10	xyuzyz	35CCE63B111F69D3	1	521949	5	3

History

Date	User	Type	Result
2020-07-10	xyuzyz	C-PRP	M2540113/312234113144836721705924879 : 35CCE63B111F69D3 PRP: Verified PRP without proof (not generated)
2020-07-10	mnd9	C-PRP	M2540113/312234113144836721705924879 : 35CCE63B111F69D3 PRP: Verified PRP without proof (not generated)
2020-07-09	GAN	F-ECM	Factor: 312234113144836721705924879 / (ECM curve 2, B1=50000, B2=5000000, Sigma=1206125597064985)
2019-04-29	TJAOI	NF	no factor from 2^67 to 2^68
2018-08-30	mikr	NF-PM1	B1=3000000, B2=135000000, E=12
2018-08-11	Joss	NF-PM1	B1=600000, B2=6000000, E=6
2018-06-09	kkmrkkblmbrbk	C-LL	8659E306099B6F79
2017-08-08	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2015-11-08	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-23	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-23	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-06-15	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-04-05	James Heinrich	NF-PM1	B1=300000, B2=8000000, E=12
2011-01-07	Joss	NF-PM1	B1=50000
2011-01-02	Joss	NF-PM1	B1=30000
2010-12-19	Joss	NF-PM1	B1=20000
2009-02-04	Sturle Sunde	NF	no factor from 2^60 to 2^61