3 449 107 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
89516883125724583365673	23	76.2	2023-02-01 00:44:29

ECM

Digits	B1	Curves
25	50000	80 / 280

Estimated T-Level: 21.4 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		John Lloyd	348803E17CB198A1	0
Verified (Factored)	1998-01-13	Jason Gayman	348803E17CB198A1	0
Verified (Factored)	1999-11-24	MIT dept. of Univ. of Jyvaskyla	348803E17CB198A1	106511

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-02-01	LordJulius	43BC79B6666F5292	1	619942	5	3

History

Date	User	Type	Result
2023-02-02	dirkswanson	CERT	PRP Certification Proof certified good
2023-02-01	LordJulius	C-PRP	M3449107/89516883125724583365673 : 43BC79B6666F5292 PRP proof power = 7 PRP: Verified Proof certified good
2023-02-01	Sergey Nosov	F-ECM	Factor: 89516883125724583365673 / (ECM curve 1, B1=50000, B2=5000000)
2022-05-18	TJAOI	NF	no factor from 2^69 to 2^70
2021-08-11	mikr	NF-PM1	B1=5000000, B2=200000000, E=12
2021-01-04	axn	NF	no factor from 2^68 to 2^69
2018-06-25	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-08	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-04-16	Gordon Spence	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-19	HBendtz	NF-PM1	B1=500000, B2=10000000, E=12
2014-07-18	Joss	NF-PM1	B1=78609
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-04	USAFSS	NF-PM1	B1=60000, B2=945000, E=6
2011-08-02	markr	NF	no factor to 2^62
2009-07-06	Carsten Kossendey	NF-PM1	B1=15000, B2=210000
2009-03-21	S485122	NF	no factor from 2^60 to 2^61