4 166 647 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
3387503273730256028913374897	28	91.5	2022-12-05 02:05:02

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)		Lars Albertsson	6D3AC953DB413F1C	0
Verified (Factored)	1999-12-15	Michael Lyons	6D3AC953DB413F1C	1895140

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-12-10	rucio	F38F5B70290CCECA	1	2850772	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-05	3387503273730256028913374897	6200000	33075839160

History

Date	User	Type	Result
2022-12-10	andyscouse	CERT	PRP Certification Proof certified good
2022-12-10	rucio	C-PRP	M4166647/3387503273730256028913374897 : F38F5B70290CCECA PRP proof power = 7 PRP: Verified Proof certified good
2022-12-05	DRobinsonPE	F-PM1	Factor: 3387503273730256028913374897 / (P-1, B1=6200000, B2=33075839160)
2022-10-15	Kevin_9611	NF-PM1	B1=220000, B2=94783260
2022-05-12	mikr	NF	no factor from 2^70 to 2^71
2021-07-03	axn	NF	no factor from 2^69 to 2^70
2021-07-03	axn	NF	no factor from 2^68 to 2^69
2020-11-28	Carlos Pinho	NF-PM1	B1=158000, B2=4144000, E=6
2018-11-29	Yxinity	NF	no factor from 2^67 to 2^68
2017-12-19	Yxinity	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-04	snme2pm1	NF	no factor from 2^65 to 2^66
2013-11-13	David Campeau	NF	no factor from 2^64 to 2^65
2013-10-09	Jayder	NF	no factor from 2^63 to 2^64
2013-08-08	Squeeky_Squirrel	NF-PM1	B1=125000, B2=2375000, E=6
2011-08-19	USAFSS	NF-PM1	B1=45000, B2=630000, E=6
2011-07-17	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-01-22	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-08-03	Carsten Kossendey	NF-PM1	B1=25000, B2=325000