2 784 653 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
4354295600273625181951	22	71.9	2021-06-02 00:59:56

ECM

Digits	B1	Curves
25	50000	90 / 280

Estimated T-Level: 21.6 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-11-07	Wim de Lange	0C17C4486C02742E	0
Verified (Factored)	1999-05-02	Jeff Malick	0C17C4486C02742E	1821278
Verified (Factored)	2018-08-26	kkmrkkblmbrbk	0C17C4486C02742E	1137793

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-06-03	kutens	2DA15A5C4740C353	1	2443167	5	3

History

Date	User	Type	Result
2021-06-03	David Hruska	CERT	PRP Certification Proof certified good
2021-06-03	kutens	C-PRP	M2784653/4354295600273625181951 : 2DA15A5C4740C353 PRP proof power = 7 PRP: Verified Proof certified good
2021-06-02	kutens	F-ECM	Factor: 4354295600273625181951 / (ECM curve 1, B1=50000, B2=5000000, Sigma=1355503503314325)
2019-11-16	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2019-02-25	chuenkit	NF	no factor from 2^67 to 2^68
2018-08-26	kkmrkkblmbrbk	C-LL	0C17C4486C02742E
2017-10-19	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-07-20	Joss	NF-PM1	B1=400000, B2=4000000, E=6
2016-05-02	Joss	NF-PM1	B1=200000, B2=3600000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-02-08	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-21	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-21	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-28	Joss	NF-PM1	B1=123049
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-03-09	Grant McCracken	NF	no factor from 2^61 to 2^62
2010-11-25	markr	NF-PM1	B1=100000, B2=2075000, E=6
2010-11-11	Joss	NF-PM1	B1=15000
2009-02-01	Sturle Sunde	NF	no factor from 2^60 to 2^61