2 761 027 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
8456844061560190750591	22	72.8	2021-12-16 10:55:29

ECM

Digits	B1	Curves
25	50000	116 / 280

Estimated T-Level: 22.1 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Danny Uy	A0F7915E1BAF54C0	0
Verified (Factored)	1999-05-09	Gustavo Scarafiocca	A0F7915E1BAF54C0	437748
Verified (Factored)	2018-08-17	kkmrkkblmbrbk	A0F7915E1BAF54C0	985331

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-12-16	Tucker Kao	CB183684F3A41C9F	1	1726362	5	3

History

Date	User	Type	Result
2021-12-16	garo	CERT	PRP Certification Proof certified good
2021-12-16	Tucker Kao	C-PRP	M2761027/8456844061560190750591 : CB183684F3A41C9F PRP proof power = 7 PRP: Verified Proof certified good
2021-12-16	daveward2005	F-ECM	Factor: 8456844061560190750591 / (ECM curve 2, B1=50000, B2=5000000, Sigma=394556309229356)
2021-06-14	TJAOI	NF	no factor from 2^68 to 2^69
2019-02-21	chuenkit	NF	no factor from 2^67 to 2^68
2018-08-17	kkmrkkblmbrbk	C-LL	A0F7915E1BAF54C0
2017-10-09	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-02-25	Joss	NF-PM1	B1=294451, B2=2944510, E=6
2017-01-13	mikr	NF-PM1	B1=2700000, B2=84000000, E=12
2016-12-23	Joss	NF-PM1	B1=204480
2016-08-07	Joss	NF-PM1	B1=142000, B2=4730000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^59 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
2013-01-10	dbaugh	NF	no factor from 2^62 to 2^63
2012-03-18	markr	NF	no factor from 2^61 to 2^62
2010-12-04	markr	NF-PM1	B1=110000, B2=2365000, E=6
2009-01-31	Sturle Sunde	NF	no factor from 2^60 to 2^61