2 573 057 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
1321348997032702246762823	25	80.1	2021-03-08 20:03:51

ECM

Digits	B1	Curves
25	50000	100 / 280

Estimated T-Level: 21.8 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Sean Graham	EFAAD39C4D519343	0
Verified (Factored)	1999-04-13	Ulug Unligil	EFAAD39C4D519343	1621411
Verified (Factored)	2018-06-17	kkmrkkblmbrbk	EFAAD39C4D519343	761885

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-03-09	_p95holder_	1861A55FA276E1F2	1	791946	5	3
Verified	2021-03-09	mrh	1861A55FA276E1F2	1	1859457	5	3

History

Date	User	Type	Result
2021-03-09	Eric Lehmer	CERT	PRP Certification Proof certified good
2021-03-09	mrh	C-PRP	M2573057/1321348997032702246762823 : 1861A55FA276E1F2 PRP proof power = 7 PRP: Verified Proof certified good
2021-03-09	_p95holder_	C-PRP	M2573057/1321348997032702246762823 : 1861A55FA276E1F2 PRP: Verified PRP without proof (not generated)
2021-03-08	mnd9	F-ECM	Factor: 1321348997032702246762823 / (ECM curve 1, B1=50000, B2=5000000, Sigma=1742510907557758)
2019-09-03	Yxinity	NF	no factor from 2^67 to 2^68
2018-06-17	kkmrkkblmbrbk	C-LL	EFAAD39C4D519343
2017-08-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-06-22	mikr	NF-PM1	B1=3200000, B2=112000000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2015-12-02	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
2012-06-19	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-04-18	James Heinrich	NF-PM1	B1=175000, B2=4112500, E=6
2011-01-10	Joss	NF-PM1	B1=50000
2010-12-21	Joss	NF-PM1	B1=20000
2009-01-31	Sturle Sunde	NF	no factor from 2^60 to 2^61