2 867 959 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
6807204163516128913	19	62.6	2016-08-31 11:21:36
2563062151616932015801679	25	81.1	2009-03-23 13:34:37
504232285511556906184131871	27	88.7	2023-02-18 16:16:18

ECM

Digits	B1	Curves
25	50000	48 / 280

Estimated T-Level: 20.9 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Vincent J. Mooney	B0084EE1EA141B54	0
Verified (Factored)	1999-05-02	Loren Evers	B0084EE1EA141B54	973098

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-23	Oliver Kruse	38AED0CA8F6F01DF	2	204406	5	3
Verified (Factored)	2017-12-07	kkmrkkblmbrbk	38AED0CA8F6F01DF	2	1472543	5	3
Verified	2023-02-22	LordJulius	38AED0CA8F6F01DF	3	622142	5	3

P-1 factors

Date	Factor	B1	B2
2023-02-18	504232285511556906184131871	360000	282695490

History

Date	User	Type	Result
2023-02-22	Richard Thomas	CERT	PRP Certification Proof certified good
2023-02-22	LordJulius	C-PRP	M2867959/6807204163516128913/2563062151616932015801679/504232285511556906184131871 : 38AED0CA8F6F01DF PRP proof power = 7 PRP: Verified Proof certified good
2023-02-18	USAFSS	F-PM1	Factor: 504232285511556906184131871 / (P-1, B1=360000, B2=282695490)
2022-03-10	LordJulius	NF	no factor from 2^61 to 2^62
2017-12-07	kkmrkkblmbrbk	C-PRP	M2867959/2563062151616932015801679/6807204163516128913 : 38AED0CA8F6F01DF PRP: Verified (Factored) PRP without proof (not generated)
2017-10-23	Oliver Kruse	C-PRP	M2867959/2563062151616932015801679/6807204163516128913 : 38AED0CA8F6F01DF PRP: Verified (Factored) PRP without proof (not generated)
2016-08-31	TJAOI	F	Factor: 6807204163516128913 / TF: 62-63
2009-03-23	S36049	F-ECM	Factor: 2563062151616932015801679
2009-02-13	Sturle Sunde	NF	no factor from 2^60 to 2^61