3 278 477 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
1394986614293086008898993	25	80.2	2021-01-30 16:09:21

ECM

Digits	B1	Curves
25	50000	22 / 280

Estimated T-Level: 20.4 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-02-12	Philip Gross	FA41F3D1239044D9	0
Verified (Factored)	1999-07-27	Greg McIntyre	FA41F3D1239044D9	2829326

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-01-31	ViliamF	D42CDEAD277E98CB	1	872161	5	3

P-1 factors

Date	Factor	B1	B2
2021-01-30	1394986614293086008898993	4000000	150000000

History

Date	User	Type	Result
2022-09-12	Joss	NF-PM1	B1=1000000, B2=241152450
2022-04-02	Joss	NF-PM1	B1=1000000, B2=134316000
2021-01-31	Evans Paschal	CERT	PRP Certification Proof certified good
2021-01-31	ViliamF	C-PRP	M3278477/1394986614293086008898993 : D42CDEAD277E98CB PRP proof power = 7 PRP: Verified Proof certified good
2021-01-30	mikr	F-PM1	Factor: 1394986614293086008898993 / (P-1, B1=4000000, B2=150000000, E=12)
2018-12-03	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-05	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-01-23	Joss	NF-PM1	B1=383400, B2=3834000, E=6
2015-06-28	Tha	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
2014-10-10	Joss	NF-PM1	B1=99154
2014-06-26	-Anonymous-	NF-PM1	B1=79577
2012-12-30	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-10	c10ck3r	NF	no factor from 2^61 to 2^62
2011-09-20	USAFSS	NF-PM1	B1=60000, B2=1065000, E=6
2009-07-09	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-02	S485122	NF	no factor from 2^60 to 2^61