2 567 821 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
620485742181444150047621953	27	89.0	2020-12-23 12:12:49

ECM

Digits	B1	Curves
25	50000	85 / 280

Estimated T-Level: 21.5 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Kevin Land	14F921551EC20868	0
Verified (Factored)	1999-04-13	Stephan Grupp	14F921551EC20868	759708
Verified (Factored)	2018-06-16	kkmrkkblmbrbk	14F921551EC20868	998375

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-12-23	SRJ2877	08DD319EF2187E52	1	187130	5	3

History

Date	User	Type	Result
2020-12-23	James Heinrich	CERT	PRP Certification Proof certified good
2020-12-23	SRJ2877	C-PRP	M2567821/620485742181444150047621953 : 08DD319EF2187E52 PRP proof power = 7 PRP: Verified Proof certified good
2020-12-23	daveward2005	F-ECM	Factor: 620485742181444150047621953 / (ECM curve 4, B1=50000, B2=5000000, Sigma=2072334333143346)
2019-05-13	TJAOI	NF	no factor from 2^67 to 2^68
2018-06-16	kkmrkkblmbrbk	C-LL	14F921551EC20868
2017-08-13	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-05-29	mikr	NF-PM1	B1=3200000, B2=112000000, E=12
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
2012-06-17	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-04-15	James Heinrich	NF-PM1	B1=175000, B2=4112500, E=6
2011-01-10	Joss	NF-PM1	B1=50000
2011-01-03	Joss	NF-PM1	B1=30000
2010-12-21	Joss	NF-PM1	B1=20000
2009-01-27	Sturle Sunde	NF	no factor from 2^60 to 2^61