2 427 137 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
72118484021262018706732441	26	85.9	2021-09-20 03:17:27

ECM

Digits	B1	Curves
25	50000	152 / 280

Estimated T-Level: 22.7 ⓘ

TF below 2^70 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Patrick J. LoPresti	C3BCC9E3A9ED0770	0
Verified (Factored)	1999-04-02	William Galway	C3BCC9E3A9ED0770	2113339
Verified (Factored)	2018-05-21	kkmrkkblmbrbk	C3BCC9E3A9ED0770	541247

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-09-22	GAN	D40412EE55422228	1	1975303	5	3

History

Date	User	Type	Result
2021-09-22	Stocki	CERT	PRP Certification Proof certified good
2021-09-22	GAN	C-PRP	M2427137/72118484021262018706732441 : D40412EE55422228 PRP proof power = 7 PRP: Verified Proof certified good
2021-09-20	GAN	F-ECM	Factor: 72118484021262018706732441 / (ECM curve 7, B1=50000, B2=5000000)
2021-08-02	TJAOI	NF	no factor from 2^68 to 2^69
2019-04-22	TJAOI	NF	no factor from 2^67 to 2^68
2018-05-21	kkmrkkblmbrbk	C-LL	C3BCC9E3A9ED0770
2017-07-05	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
2015-10-23	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-27	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-27	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-04-26	mikr	NF-PM1	B1=1986400, B2=69524000, E=12
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-06-05	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2010-12-17	markr	NF-PM1	B1=95000, B2=1923750, E=6
2010-11-17	Joss	NF-PM1	B1=20000
2010-11-10	Joss	NF-PM1	B1=15000
2009-01-14	Sturle Sunde	NF	no factor from 2^60 to 2^61