3 459 559 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
11845237874654222999	20	63.4	2009-07-06 11:08:24
5477029683019014067965841	25	82.2	2021-03-18 00:24:12

ECM

Digits	B1	Curves
25	50000	3 / 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)		Rich Harms	8C1D659BE6C0B48C	0
Verified (Factored)	1999-07-04	Mike Knopp	8C1D659BE6C0B48C	114034

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	8D384156CADABD1F	1	1364319	5	3
Verified (Factored)	2017-11-22	Oliver Kruse	8D384156CADABD1F	1	870389	5	3
Verified	2021-03-19	marssystems	8D384156CADABD1F	2	398802	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-18	5477029683019014067965841	345955	3459559

History

Date	User	Type	Result
2022-09-07	Joss	NF-PM1	B1=1095955, B2=213444000
2022-05-12	LordJulius	NF	no factor from 2^64 to 2^65
2022-05-12	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-12	LordJulius	NF	no factor from 2^1 to 2^62
2022-01-07	Joss	NF-PM1	B1=1095955, B2=111642300
2021-04-12	Joss	NF	no factor from 2^67 to 2^68
2021-03-19	Cyarra	CERT	PRP Certification Proof certified good
2021-03-19	marssystems	C-PRP	M3459559/11845237874654222999/5477029683019014067965841 : 8D384156CADABD1F PRP proof power = 7 PRP: Verified Proof certified good
2021-03-19	Joss	NF-PM1	B1=345955, B2=6919118, E=6
2021-03-18	Joss	NF	no factor from 2^66 to 2^67
2021-03-18	Joss	F-PM1	Factor: 5477029683019014067965841 / (P-1, B1=345955, B2=3459559, E=6)
2021-02-28	Joss	NF	no factor from 2^65 to 2^66
2017-11-22	Oliver Kruse	C-PRP	M3459559/11845237874654222999 : 8D384156CADABD1F PRP: Verified (Factored) PRP without proof (not generated)
2017-11-06	kkmrkkblmbrbk	C-PRP	M3459559/11845237874654222999 : 8D384156CADABD1F PRP: Verified (Factored) PRP without proof (not generated)
2009-07-06	Carsten Kossendey	F	Factor: 11845237874654222999
2009-03-20	S485122	NF	no factor from 2^60 to 2^61