2 830 349 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
12657320729	11	33.6	old
67968000887	11	36.0	2008-09-07 19:42:10
243161118720474837871	21	67.7	2022-11-12 16:00:14

ECM

Digits	B1	Curves
25	50000	80 / 280

Estimated T-Level: 21.4 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-22	Oliver Kruse	FDE871029C18FC38	2	1748888	5	3
Verified (Factored)	2017-12-07	kkmrkkblmbrbk	FDE871029C18FC38	2	2780457	5	3
Verified	2022-11-18	LordJulius	FDE871029C18FC38	3	871657	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-12	243161118720474837871	216000	161039340

History

Date	User	Type	Result
2024-06-02	USAFSS	NF-PM1	B1=420000, B2=488100690
2022-11-18	johnguin	CERT	PRP Certification Proof certified good
2022-11-18	LordJulius	C-PRP	M2830349/12657320729/67968000887/243161118720474837871 : FDE871029C18FC38 PRP proof power = 7 PRP: Verified Proof certified good
2022-11-12	USAFSS	F-PM1	Factor: 243161118720474837871 / (P-1, B1=216000, B2=161039340)
2017-12-07	kkmrkkblmbrbk	C-PRP	M2830349/12657320729/67968000887 : FDE871029C18FC38 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-22	Oliver Kruse	C-PRP	M2830349/12657320729/67968000887 : FDE871029C18FC38 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 67968000887