1 779 451 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
5643319962754536577	19	62.3	old
25286258815715832391	20	64.5	2008-08-26 20:20:00

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Bafford	A95163AFF21DC845	0
Verified (Factored)		Steve Potocny	A95163AFF21DC845	0

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	FCAB48DB72A4208F	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-05	Oliver Kruse	38C541F9B9BBFDBD	2	0	1	3
Verified	2017-11-10	kkmrkkblmbrbk	38C541F9B9BBFDBD	2	721292	1	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	FCAB48DB72A4208F PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-11-10	kkmrkkblmbrbk	C-PRP	M1779451/5643319962754536577/25286258815715832391 : 38C541F9B9BBFDBD PRP: Verified PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1779451/5643319962754536577/25286258815715832391 : 38C541F9B9BBFDBD PRP: Verified PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1779451/5643319962754536577/25286258815715832391 : 38C541F9B9BBFDBD PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-08-26	-Anonymous-	F-ECM	Factor: 25286258815715832391