2 725 699 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
23854000933528634857	20	64.4	2009-03-10 04:45:28
322809710977562804087	21	68.1	2023-01-26 17:26:36

ECM

Digits	B1	Curves
25	50000	4 / 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)		Jeremy Edward	3D1D6B1EC196ACB2	0
Verified (Factored)	1999-04-23	Ethan Hansen	3D1D6B1EC196ACB2	1194321

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-20	Oliver Kruse	8FE579A071644B97	1	1068198	5	3
Verified (Factored)	2017-12-05	kkmrkkblmbrbk	8FE579A071644B97	1	162733	5	3
Verified	2023-01-27	LordJulius	8FE579A071644B97	2	2323774	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-26	322809710977562804087	288000	226423890

History

Date	User	Type	Result
2023-01-27	Orce Simov	CERT	PRP Certification Proof certified good
2023-01-27	LordJulius	C-PRP	M2725699/23854000933528634857/322809710977562804087 : 8FE579A071644B97 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-26	USAFSS	F-PM1	Factor: 322809710977562804087 / (P-1, B1=288000, B2=226423890)
2017-12-05	kkmrkkblmbrbk	C-PRP	M2725699/23854000933528634857 : 8FE579A071644B97 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-20	Oliver Kruse	C-PRP	M2725699/23854000933528634857 : 8FE579A071644B97 PRP: Verified (Factored) PRP without proof (not generated)
2009-03-10	S36049	F-ECM	Factor: 23854000933528634857
2009-01-29	Sturle Sunde	NF	no factor from 2^60 to 2^61