2 764 711 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
66515126117856140424031	23	75.8	2020-11-29 12:12:54

ECM

Digits	B1	Curves
25	50000	127 / 280

Estimated T-Level: 22.3 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Paul F. Bird	8BB72B6C08051E0A	0
Verified (Factored)	1999-06-26	Jeff Bisping	8BB72B6C08051E0A	2696436
Verified (Factored)	2018-08-19	kkmrkkblmbrbk	8BB72B6C08051E0A	283418

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-11-29	ViliamF	B82B9DAD1F8AB2A5	1	125361	5	3

History

Date	User	Type	Result
2020-11-29	Andrew B	CERT	PRP Certification Proof certified good
2020-11-29	ViliamF	C-PRP	M2764711/66515126117856140424031 : B82B9DAD1F8AB2A5 PRP proof power = 7 PRP: Verified Proof certified good
2020-11-29	Dirk	F-ECM	Factor: 66515126117856140424031 / (ECM curve 77, B1=50000, B2=5000000)
2019-02-21	chuenkit	NF	no factor from 2^67 to 2^68
2018-08-19	kkmrkkblmbrbk	C-LL	8BB72B6C08051E0A
2017-10-12	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-02-25	Joss	NF-PM1	B1=294451, B2=2944510, E=6
2017-01-26	mikr	NF-PM1	B1=2700000, B2=84000000, E=12
2016-12-23	Joss	NF-PM1	B1=204480
2016-10-26	Joss	NF-PM1	B1=170400
2016-08-10	Joss	NF-PM1	B1=142000, B2=4730000, 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
2013-01-10	dbaugh	NF	no factor from 2^62 to 2^63
2012-03-15	markr	NF	no factor from 2^61 to 2^62
2010-12-02	markr	NF-PM1	B1=110000, B2=2365000, E=6
2009-01-30	Sturle Sunde	NF	no factor from 2^60 to 2^61