2 659 949 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
3715198864250535994513	22	71.7	2021-07-01 20:48:40

ECM

Digits	B1	Curves
25	50000	109 / 280

Estimated T-Level: 21.9 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Ken Kriesel	9531341CA4812179	0
Verified (Factored)	1999-06-26	Albrecht Heeffer	9531341CA4812179	114430
Verified (Factored)	2018-07-22	kkmrkkblmbrbk	9531341CA4812179	505234

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-07-03	Yizhe Huang	E4804AAD0E64E0E0	1	2415975	5	3

History

Date	User	Type	Result
2021-07-03	fackpampen	CERT	PRP Certification Proof certified good
2021-07-03	Yizhe Huang	C-PRP	M2659949/3715198864250535994513 : E4804AAD0E64E0E0 PRP proof power = 7 PRP: Verified Proof certified good
2021-07-01	daveward2005	F-ECM	Factor: 3715198864250535994513 / (ECM curve 5, B1=50000, B2=5000000, Sigma=3457457742976147)
2021-06-03	TJAOI	NF	no factor from 2^68 to 2^69
2019-11-26	masser	NF-PM1	B1=2000000, B2=50000000, E=12
2019-05-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-07-22	kkmrkkblmbrbk	C-LL	9531341CA4812179
2017-09-24	Joss	NF-PM1	B1=600000, B2=6000000, E=6
2017-09-19	Joss	NF-PM1	B1=500000, B2=5000000, E=6
2017-09-08	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-01-22	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-23	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-23	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-05-22	markr	NF	no factor from 2^61 to 2^62
2011-01-24	James Heinrich	NF-PM1	B1=250000, B2=8000000, E=12
2009-06-24	USAFSS	NF-PM1	B1=30000, B2=420000
2009-01-26	Sturle Sunde	NF	no factor from 2^60 to 2^61