1 793 819 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
44615328073477656071	20	65.3	old
408777848753217898601	21	68.5	2020-08-09 16:21:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	108 / 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)		Martin Brennfleck	7B084E1ABC233BB2	0
Verified (Factored)	1998-12-27	David Underbakke	7B084E1ABC233BB2	545696

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	3843B9656AE477A6	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-03	Oliver Kruse	0BEF1A93FA0772FA	1	0	1	3
Verified (Factored)	2017-11-05	kkmrkkblmbrbk	0BEF1A93FA0772FA	1	175750	1	3
Verified	2020-08-09	storm5510	3843B9656AE477A6	2	1194198	5	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	3843B9656AE477A6 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2020-08-09	Chuck	CERT	PRP Certification Proof certified good
2020-08-09	storm5510	C-PRP	M1793819/44615328073477656071/408777848753217898601 : 3843B9656AE477A6 PRP proof power = 7 PRP: Verified Proof certified good
2020-08-09	Ahmed Azhad	F-ECM	Factor: 408777848753217898601 / (ECM curve 1, B1=50000, B2=5000000, Sigma=5675942392440874)
2017-11-05	kkmrkkblmbrbk	C-PRP	M1793819/44615328073477656071 : 0BEF1A93FA0772FA PRP: Verified (Factored) PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1793819/44615328073477656071 : 0BEF1A93FA0772FA PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12