2 706 953 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
528931362022837919409919	24	78.8	2020-08-06 06:33:35

ECM

Digits	B1	Curves
25	50000	38 / 280

Estimated T-Level: 20.7 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-03-09	hans schuitemaker	9ED37D10420D874A	0
Verified (Factored)	1999-06-06	MSR Cambridge	9ED37D10420D874A	1789478
Verified (Factored)	2018-08-01	kkmrkkblmbrbk	9ED37D10420D874A	2044046

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-08-06	M Miller	37D16D7CC2FAF3EE	1	85562	5	3
Verified	2020-08-07	kutens	37D16D7CC2FAF3EE	1	1678663	5	3

History

Date	User	Type	Result
2023-04-17	Kevin_9611	NF-PM1	B1=720000, B2=868549500
2020-08-07	kutens	C-PRP	M2706953/528931362022837919409919 : 37D16D7CC2FAF3EE PRP: Verified PRP without proof (not generated)
2020-08-06	M Miller	C-PRP	M2706953/528931362022837919409919 : 37D16D7CC2FAF3EE PRP: Verified PRP without proof (not generated)
2020-08-06	rextherunt	F-ECM	Factor: 528931362022837919409919 / (ECM curve 2, B1=50000, B2=5000000)
2019-02-11	chuenkit	NF	no factor from 2^67 to 2^68
2018-08-06	Joss	NF-PM1	B1=600000, B2=6000000, E=6
2018-08-01	kkmrkkblmbrbk	C-LL	9ED37D10420D874A
2017-09-29	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
2016-01-29	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-13	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-13	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-04-28	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-03-28	James Heinrich	NF-PM1	B1=300000, B2=8000000, E=12
2011-01-18	Joss	NF-PM1	B1=50000
2010-12-26	Joss	NF-PM1	B1=30000
2010-12-16	Joss	NF-PM1	B1=20000
2009-01-31	Sturle Sunde	NF	no factor from 2^60 to 2^61