6 902 881 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
29076986451095225177	20	64.7	2014-02-17 23:33:06
725062708569540869265057102325945351	36	119.1	2023-09-14 20:16:26

ECM

Digits	B1	Curves
25	50000	3 / 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)	1999-09-22	Nicolau C. Saldanha	71D8B916EF7E133F	2683869
Verified (Factored)	2001-09-10	Erik Alvis	71D8B916EF7E133F	102185

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-01-22	Oliver Kruse	4D0329A7EB4FFE38	1	3278015	5	3
Verified (Factored)	2019-01-19	ATH	4D0329A7EB4FFE38	1	3929157	5	3
Verified	2023-09-16	Naegi Makoto	4D0329A7EB4FFE38	2	6245110	5	3

P-1 factors

Date	Factor	B1	B2
2023-09-14	725062708569540869265057102325945351	3500000	11589057480

History

Date	User	Type	Result
2023-09-16	USAFSS	CERT	PRP Certification Proof certified good
2023-09-16	Naegi Makoto	C-PRP	M6902881/29076986451095225177/725062708569540869265057102325945351 : 4D0329A7EB4FFE38 PRP proof power = 8 PRP: Verified Proof certified good
2023-09-14	Tha	F-PM1	Factor: 725062708569540869265057102325945351 / (P-1, B1=3500000, B2=11589057480)
2019-01-19	ATH	C-PRP	M6902881/29076986451095225177 : 4D0329A7EB4FFE38 PRP: Verified (Factored) PRP without proof (not generated)
2018-01-22	Oliver Kruse	C-PRP	M6902881/29076986451095225177 : 4D0329A7EB4FFE38 PRP: Verified (Factored) PRP without proof (not generated)
2014-02-17	lycorn	F	Factor: 29076986451095225177 / TF: 64-65*
2014-02-09	Nesowa	NF	no factor from 2^63 to 2^64
2012-08-10	Nesowa	NF-PM1	B1=85000, B2=1487500, E=6