2 739 577 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
31504998236233993	17	54.8	old
56573158191304185865578188719	29	95.5	2022-11-21 00:02:54

ECM

Digits	B1	Curves
25	50000	90 / 280

Estimated T-Level: 21.6 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-20	Oliver Kruse	F6B49411F98CEA86	1	2603688	5	3
Verified (Factored)	2017-12-05	kkmrkkblmbrbk	F6B49411F98CEA86	1	1189375	5	3
Verified	2022-11-26	Naegi Makoto	F6B49411F98CEA86	2	2241728	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-21	56573158191304185865578188719	255000	191586780

History

Date	User	Type	Result
2022-11-26	ANONYMOUS	CERT	PRP Certification Proof certified good
2022-11-26	Naegi Makoto	C-PRP	M2739577/31504998236233993/56573158191304185865578188719 : F6B49411F98CEA86 PRP proof power = 7 PRP: Verified Proof certified good
2022-11-21	USAFSS	F-PM1	Factor: 56573158191304185865578188719 / (P-1, B1=255000, B2=191586780)
2017-12-05	kkmrkkblmbrbk	C-PRP	M2739577/31504998236233993 : F6B49411F98CEA86 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-20	Oliver Kruse	C-PRP	M2739577/31504998236233993 : F6B49411F98CEA86 PRP: Verified (Factored) PRP without proof (not generated)