3 681 049 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
81116398559175814119239	23	76.1	2017-02-18 09:25:06

ECM

Digits	B1	Curves
25	50000	9 / 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)		Mikael Billberg	EFD8E287ADF76B16	0
Bad	1999-08-16	Clive Gifford	8A3142A1E90BE2B3	590327
Verified (Factored)	2000-01-19	Chuck Wolber	EFD8E287ADF76B16	360269

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-11	kkmrkkblmbrbk	735E39F81D56DE87	1	3028052	5	3
Verified	2017-11-29	Oliver Kruse	735E39F81D56DE87	1	1037275	5	3

P-1 factors

Date	Factor	B1	B2
2017-02-18	81116398559175814119239	230000	6900000

History

Date	User	Type	Result
2022-05-25	Joss	NF-PM1	B1=200000, B2=130364850
2017-11-29	Oliver Kruse	C-PRP	M3681049/81116398559175814119239 : 735E39F81D56DE87 PRP: Verified PRP without proof (not generated)
2017-11-11	kkmrkkblmbrbk	C-PRP	M3681049/81116398559175814119239 : 735E39F81D56DE87 PRP: Verified PRP without proof (not generated)
2017-02-25	Joss	NF-PM1	B1=241228, B2=2412280, E=6
2017-02-18	Squeeky_Squirrel	F-PM1	Factor: 81116398559175814119239 / (P-1, B1=230000, B2=6900000, E=12)
2017-01-29	Joss	NF-PM1	B1=167520
2017-01-03	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-12-30	Joss	NF-PM1	B1=129600
2016-12-25	Joss	NF-PM1	B1=108000
2016-06-28	Joss	NF-PM1	B1=90000, B2=3285000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-10-19	ramgeis	NF	no factor from 2^65 to 2^66
2015-01-25	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-25	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-06-05	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2012-02-14	Squeeky_Squirrel	NF-PM1	B1=90000, B2=1642500, E=6
2011-05-29	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-12	Carsten Kossendey	NF-PM1	B1=20000, B2=260000
2009-03-08	S485122	NF	no factor from 2^60 to 2^61