3 492 457 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
81901143604554300134137	23	76.1	2023-08-30 05:33:20

ECM

Digits	B1	Curves
25	50000	78 / 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)	1998-08-16	Stephen Wood	6BBFE5193BBF3D1A	0
Verified (Factored)	1999-09-30	EDNY	6BBFE5193BBF3D1A	1630340

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-08-30	Naegi Makoto	546FA19E8470A558	1	3485120	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-30	81901143604554300134137	1000000	1508917410

History

Date	User	Type	Result
2023-08-30	WeakForceBoson	CERT	PRP Certification Proof certified good
2023-08-30	Naegi Makoto	C-PRP	M3492457/81901143604554300134137 : 546FA19E8470A558 PRP proof power = 7 PRP: Verified Proof certified good
2023-08-30	Joss	F-PM1	Factor: 81901143604554300134137 / (P-1, B1=1000000, B2=1508917410)
2022-02-16	TJAOI	NF	no factor from 2^69 to 2^70
2021-04-18	axn	NF-PM1	B1=14000000, B2=700000000
2021-01-13	axn	NF	no factor from 2^68 to 2^69
2018-08-20	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-20	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
2016-01-06	ramgeis	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
2014-09-05	HBendtz	NF-PM1	B1=615000, B2=12000000, e=12
2014-08-21	Joss	NF-PM1	B1=78378
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-17	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-17	markr	NF	no factor to 2^62
2009-07-08	Carsten Kossendey	NF-PM1	B1=20000, B2=240000
2009-03-19	S485122	NF	no factor from 2^60 to 2^61