3 577 859 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
2413775936873548133017	22	71.0	2017-04-22 06:19:39

ECM

Digits	B1	Curves
25	50000	12 / 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)		Robert Friberg	1A62CA9D9A2465C0	0
Verified (Factored)	1999-08-16	Nick Hilliard	1A62CA9D9A2465C0	563132

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-09	kkmrkkblmbrbk	3A8F9BDB49A75D2E	1	3008204	5	3
Verified	2017-11-25	Oliver Kruse	3A8F9BDB49A75D2E	1	135944	5	3

P-1 factors

Date	Factor	B1	B2
2017-04-22	2413775936873548133017	340000	3400000

History

Date	User	Type	Result
2022-05-25	Joss	NF-PM1	B1=100000, B2=130364850
2022-03-01	Joss	NF-PM1	B1=100000
2017-11-25	Oliver Kruse	C-PRP	M3577859/2413775936873548133017 : 3A8F9BDB49A75D2E PRP: Verified PRP without proof (not generated)
2017-11-09	kkmrkkblmbrbk	C-PRP	M3577859/2413775936873548133017 : 3A8F9BDB49A75D2E PRP: Verified PRP without proof (not generated)
2017-04-22	Joss	F-PM1	Factor: 2413775936873548133017 / (P-1, B1=340000, B2=3400000, E=6)
2017-01-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-04-13	Joss	NF-PM1	B1=170000, B2=4333245, E=6
2016-02-26	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-01-30	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-30	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-07-02	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-12-25	Squeeky_Squirrel	NF-PM1	B1=85000, B2=1572500, E=6
2011-06-15	markr	NF	no factor from 2^61 to 2^62
2009-07-09	Carsten Kossendey	NF-PM1	B1=20000, B2=245000
2009-03-14	S485122	NF	no factor from 2^60 to 2^61