2 906 741 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
21476551295474361899287	23	74.2	2020-12-30 18:10:20

ECM

Digits	B1	Curves
25	50000	46 / 280

Estimated T-Level: 20.8 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Ari Kullberg	8517045C752E8B29	0
Verified (Factored)	1999-05-16	Bryan Fullerton	8517045C752E8B29	2555060
Verified (Factored)	2018-10-01	kkmrkkblmbrbk	8517045C752E8B29	1538922

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-12-30	mrh	584AC333BFDDE339	1	645438	5	3

History

Date	User	Type	Result
2020-12-30	Simon Josefsson	CERT	PRP Certification Proof certified good
2020-12-30	mrh	C-PRP	M2906741/21476551295474361899287 : 584AC333BFDDE339 PRP proof power = 7 PRP: Verified Proof certified good
2020-12-30	mnd9	F-ECM	Factor: 21476551295474361899287 / (ECM curve 4, B1=50000, B2=5000000, Sigma=621379251392578)
2020-03-23	masser	NF-PM1	B1=5000000, B2=200000000, E=12
2018-12-17	chuenkit	NF	no factor from 2^67 to 2^68
2018-10-01	kkmrkkblmbrbk	C-LL	8517045C752E8B29
2017-11-19	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-02-22	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-25	VictordeHollander	NF-PM1	B1=1000000, B2=20000000, E=12
2015-04-25	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-25	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2011-12-12	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-01-28	markr	NF-PM1	B1=105000, B2=2283750, E=6
2010-12-24	Joss	NF-PM1	B1=20000
2009-08-13	Carsten Kossendey	NF-PM1	B1=15000, B2=168750
2009-02-14	Sturle Sunde	NF	no factor from 2^60 to 2^61