4 189 951 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
78907489657678489673615580073	29	96.0	2022-12-19 03:30:42

ECM

Digits	B1	Curves
25	50000	67 / 280

Estimated T-Level: 21.2 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David A McGough	BEF992402E21A562	0
Verified (Factored)	1999-11-17	Upper Silesia	BEF992402E21A562	4004017

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-12-19	SRJ2877	42EA5A118A91C6EC	1	3683313	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-19	78907489657678489673615580073	6200000	32702012070

History

Date	User	Type	Result
2022-12-19	DeadSpam	CERT	PRP Certification Proof certified good
2022-12-19	SRJ2877	C-PRP	M4189951/78907489657678489673615580073 : 42EA5A118A91C6EC PRP proof power = 7 PRP: Verified Proof certified good
2022-12-19	DRobinsonPE	F-PM1	Factor: 78907489657678489673615580073 / (P-1, B1=6200000, B2=32702012070)
2022-06-01	mikr	NF	no factor from 2^70 to 2^71
2021-06-21	axn	NF	no factor from 2^69 to 2^70
2021-06-07	TJAOI	NF	no factor from 2^68 to 2^69
2021-04-04	Dylan Delgado	NF-PM1	B1=400000, B2=12000000, e=12
2018-12-07	Yxinity	NF	no factor from 2^67 to 2^68
2017-12-23	Yxinity	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-06	snme2pm1	NF	no factor from 2^65 to 2^66
2013-11-16	David Campeau	NF	no factor from 2^64 to 2^65
2013-10-25	Jayder	NF	no factor from 2^63 to 2^64
2013-08-23	Squeeky_Squirrel	NF-PM1	B1=125000, B2=2406250, E=6
2011-08-24	USAFSS	NF-PM1	B1=45000, B2=630000, E=6
2011-07-01	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-01-06	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-08-04	Carsten Kossendey	NF-PM1	B1=25000, B2=337500