2 398 471 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
111411564271934570998279	24	76.6	2015-12-16 03:04:52

ECM

Digits	B1	Curves
25	50000	124 / 280

Estimated T-Level: 22.2 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Tom Waskow	DACAB82968FD9597	0
Verified (Factored)	1999-03-26	Jakob Trier	DACAB82968FD9597	761654

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	BD697FB3512A8DFB	1	0	1	3
Verified	2017-11-03	Oliver Kruse	BD697FB3512A8DFB	1	368822	1	3

P-1 factors

Date	Factor	B1	B2
2015-12-16	111411564271934570998279	3000000	100000000

History

Date	User	Type	Result
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2018-09-28	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-11-03	Oliver Kruse	C-PRP	M2398471/111411564271934570998279 : BD697FB3512A8DFB PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2398471/111411564271934570998279 : BD697FB3512A8DFB PRP: Verified PRP without proof (not generated)
2015-12-16	mikr	F-PM1	Factor: 111411564271934570998279 / (P-1, B1=3000000, B2=100000000, E=12)
2015-11-05	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-12	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-12	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-11-06	Joss	NF-PM1	B1=143522
2014-08-21	Joss	NF-PM1	B1=116761
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-06-02	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2010-12-23	markr	NF-PM1	B1=90000, B2=1845000, E=6
2010-11-16	Joss	NF-PM1	B1=20000
2010-11-08	Joss	NF-PM1	B1=15000
2009-01-16	Sturle Sunde	NF	no factor from 2^60 to 2^61