4 122 691 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
7744740078240457554620204159	28	92.6	2021-06-29 11:40:10

ECM

Digits	B1	Curves
25	50000	12 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Ethan Hansen	343F1D59DDF5B1A3	0
Verified (Factored)	1999-09-30	Brian Rodenkirk	343F1D59DDF5B1A3	1275184

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-07-04	Luigi Morelli	4A379BC86AA59C84	1	2642966	5	3

P-1 factors

Date	Factor	B1	B2
2021-06-29	7744740078240457554620204159	13000000	650000000

History

Date	User	Type	Result
2021-07-04	Ben Delo	CERT	PRP Certification Proof certified good
2021-07-04	Luigi Morelli	C-PRP	M4122691/7744740078240457554620204159 : 4A379BC86AA59C84 PRP proof power = 7 PRP: Verified Proof certified good
2021-06-29	axn	F-PM1	Factor: 7744740078240457554620204159 / (P-1, B1=13000000, B2=650000000)
2021-06-02	axn	NF	no factor from 2^69 to 2^70
2021-06-02	axn	NF	no factor from 2^68 to 2^69
2020-11-25	Carlos Pinho	NF-PM1	B1=152000, B2=3974000, E=6
2018-11-19	Yxinity	NF	no factor from 2^67 to 2^68
2017-12-12	Yxinity	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-01	snme2pm1	NF	no factor from 2^65 to 2^66
2013-11-09	David Campeau	NF	no factor from 2^64 to 2^65
2013-09-11	Jayder	NF	no factor from 2^63 to 2^64
2013-06-25	Squeeky_Squirrel	NF-PM1	B1=125000, B2=2343750, E=6
2011-08-04	USAFSS	NF-PM1	B1=40000, B2=580000
2011-07-01	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-12-05	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-08-01	Carsten Kossendey	NF-PM1	B1=25000, B2=325000