2 674 313 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
77927067297690649759826953	26	86.0	2017-03-04 13:15:44

ECM

Digits	B1	Curves
25	50000	241 / 280

Estimated T-Level: 24.3 ⓘ

TF below 2^76 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Steven Reasoner	EB4F2AE1FE22CC26	0
Verified (Factored)	1999-05-30	Jeremy Campbell	EB4F2AE1FE22CC26	73939

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-18	Oliver Kruse	B3D4FA28A3DB6CC2	1	1571225	5	3
Verified	2017-12-03	kkmrkkblmbrbk	B3D4FA28A3DB6CC2	1	141834	5	3

P-1 factors

Date	Factor	B1	B2
2017-03-04	77927067297690649759826953	314979	3149790

History

Date	User	Type	Result
2019-07-04	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-12-03	kkmrkkblmbrbk	C-PRP	M2674313/77927067297690649759826953 : B3D4FA28A3DB6CC2 PRP: Verified PRP without proof (not generated)
2017-10-18	Oliver Kruse	C-PRP	M2674313/77927067297690649759826953 : B3D4FA28A3DB6CC2 PRP: Verified PRP without proof (not generated)
2017-03-04	Joss	F-PM1	Factor: 77927067297690649759826953 / (P-1, B1=314979, B2=3149790, E=6)
2016-12-29	Joss	NF-PM1	B1=218736
2016-12-18	Joss	NF-PM1	B1=182280
2016-06-12	Joss	NF-PM1	B1=151900, B2=4567500, E=6
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2016-01-25	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
2012-05-20	Grant McCracken	NF	no factor from 2^61 to 2^62
2010-12-07	markr	NF-PM1	B1=105000, B2=2283750, E=6
2010-11-19	Joss	NF-PM1	B1=20000
2009-01-27	Sturle Sunde	NF	no factor from 2^60 to 2^61