2 564 381 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
80808894662406310913	20	66.1	2010-05-12 10:47:03
7046354224117302676999	22	72.6	2023-01-25 14:09:27

ECM

Digits	B1	Curves
25	50000	58 / 280

Estimated T-Level: 21.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Joe Decker	627E0CF183B66F0B	0
Verified (Factored)	1999-03-26	Carl Mikkelsen	627E0CF183B66F0B	1718142

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-15	Oliver Kruse	F8CE288BD1EC7CC2	1	2380981	5	3
Verified (Factored)	2017-12-01	kkmrkkblmbrbk	F8CE288BD1EC7CC2	1	680481	5	3
Verified	2023-01-25	LordJulius	F8CE288BD1EC7CC2	2	321982	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-25	7046354224117302676999	225000	238697550

History

Date	User	Type	Result
2023-01-25	curtisc	CERT	PRP Certification Proof certified good
2023-01-25	LordJulius	C-PRP	M2564381/80808894662406310913/7046354224117302676999 : F8CE288BD1EC7CC2 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-25	USAFSS	F-PM1	Factor: 7046354224117302676999 / (P-1, B1=225000, B2=238697550)
2022-03-11	LordJulius	NF	no factor from 2^1 to 2^60
2017-12-01	kkmrkkblmbrbk	C-PRP	M2564381/80808894662406310913 : F8CE288BD1EC7CC2 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-15	Oliver Kruse	C-PRP	M2564381/80808894662406310913 : F8CE288BD1EC7CC2 PRP: Verified (Factored) PRP without proof (not generated)
2010-05-12	James Classen	F-ECM	Factor: 80808894662406310913
2009-02-01	Sturle Sunde	NF	no factor from 2^60 to 2^61