3 184 639 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
10460990600294388041	20	63.2	2009-07-10 14:11:22

ECM

Digits	B1	Curves
25	50000	53 / 280

Estimated T-Level: 20.9 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-03-17	John Guin	1DECF59D5B3076AC	0
Verified (Factored)	1999-06-06	James M. Wolford	1DECF59D5B3076AC	607126

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-01	Oliver Kruse	51E227D7D270EA0B	1	375978	5	3
Verified	2017-12-12	kkmrkkblmbrbk	51E227D7D270EA0B	1	2075679	5	3

History

Date	User	Type	Result
2022-04-02	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-02	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-02	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-02	LordJulius	NF	no factor from 2^61 to 2^63
2022-01-03	Joss	NF-PM1	B1=3184639, B2=217752150
2021-12-19	Joss	NF-PM1	B1=3184639, B2=108997350
2021-07-11	Joss	NF	no factor from 2^67 to 2^68
2021-07-11	Joss	NF-PM1	B1=3184639
2021-01-17	Joss	NF-PM1	B1=318463, B2=3184639, E=6
2017-12-12	kkmrkkblmbrbk	C-PRP	M3184639/10460990600294388041 : 51E227D7D270EA0B PRP: Verified PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3184639/10460990600294388041 : 51E227D7D270EA0B PRP: Verified PRP without proof (not generated)
2009-07-10	zampel	F-ECM	Factor: 10460990600294388041
2009-04-07	S485122	NF	no factor from 2^60 to 2^61