4 412 141 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
315784386342864161603117641	27	88.0	2016-08-06 22:48:07

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Stephen Wood	F8703CB1110B776B	0
Verified (Factored)	1999-11-17	Dave Wells	F8703CB1110B776B	2197670

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	D2B41F750E21120D	1	0	1	3
Verified	2018-02-09	pew	D2B41F750E21120D	1	3352233	1	3

P-1 factors

Date	Factor	B1	B2
2016-08-06	315784386342864161603117641	1800000	68000000

History

Date	User	Type	Result
2018-02-09	pew	C-PRP	M4412141/315784386342864161603117641 : D2B41F750E21120D PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4412141/315784386342864161603117641 : D2B41F750E21120D PRP: Verified PRP without proof (not generated)
2016-08-06	mikr	F-PM1	Factor: 315784386342864161603117641 / (P-1, B1=1800000, B2=68000000, E=12)
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-21	snme2pm1	NF	no factor from 2^65 to 2^66
2014-08-18	lycorn	NF	no factor from 2^64 to 2^65
2014-08-15	Jayder	NF	no factor from 2^63 to 2^64
2012-03-28	Squeeky_Squirrel	NF-PM1	B1=135000, B2=2733750, E=6
2012-02-03	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-10-27	markr	NF	no factor from 2^61 to 2^62
2009-07-17	Carsten Kossendey	NF-PM1	B1=25000, B2=356250