3 009 379 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
54168823	8	25.7	old
19103169309278839	17	54.1	2014-10-31 12:34:02
394991688331269566536729	24	78.4	2018-06-15 10:47:04

ECM

Digits	B1	Curves
25	50000	63 / 280

Estimated T-Level: 21.1 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-15	Yaroslav Berezhko	11A2ECD726137FA4	2	0	1	3
Verified (Factored)	2017-11-17	Oliver Kruse	11A2ECD726137FA4	2	1906554	1	3
Verified	2018-06-16	GunnarLu	DFEA66DD95D4B254	3	1022092	5	3
Verified	2018-06-17	kkmrkkblmbrbk	DFEA66DD95D4B254	3	2087523	5	3

History

Date	User	Type	Result
2022-10-07	Joss	NF-PM1	B1=1200000, B2=451528350
2022-09-05	Joss	NF-PM1	B1=1200000, B2=236513550
2022-03-15	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-15	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-15	LordJulius	NF	no factor from 2^62 to 2^63
2022-01-07	Joss	NF-PM1	B1=1050000, B2=116447100
2021-03-07	Joss	NF	no factor from 2^67 to 2^68
2021-02-08	Joss	NF	no factor from 2^66 to 2^67
2021-01-19	Joss	NF	no factor from 2^65 to 2^66
2020-06-11	Joss	NF-PM1	B1=300937, B2=3009379, E=6
2018-06-17	kkmrkkblmbrbk	C-PRP	M3009379/54168823/19103169309278839/394991688331269566536729 : DFEA66DD95D4B254 PRP: Verified PRP without proof (not generated)
2018-06-16	GunnarLu	C-PRP	M3009379/54168823/19103169309278839/394991688331269566536729 : DFEA66DD95D4B254 PRP: Verified PRP without proof (not generated)
2018-06-15	Daniil Tsarkov	F-ECM	Factor: 394991688331269566536729 / (ECM curve 63, B1=50000, B2=5000000)
2017-11-17	Oliver Kruse	C-PRP	M3009379/54168823/19103169309278839 : 11A2ECD726137FA4 PRP: Verified PRP without proof (not generated)
2017-10-15	Yaroslav Berezhko	C-PRP	M3009379/54168823/19103169309278839 : 11A2ECD726137FA4 PRP: Verified PRP without proof (not generated)
2014-10-31	TJAOI	F	Factor: 19103169309278839 / TF: 54-55