1 739 807 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
443865049174172217577	21	68.6	2011-12-25 19:09:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	103 / 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)		The Vanguard (Nelson Jones, Mohammad Malik, Anthony Joseph, Art Mandelin, Ed)	7CC79CA01F88137B	0
Verified (Factored)	1998-11-28	Eric Prestemon	7CC79CA01F88137B	1326856

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	B8BECF392FB3A8EF	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	8A6B33E143937095	1	0	1	3
Verified	2017-10-19	Oliver Kruse	8A6B33E143937095	1	472022	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	B8BECF392FB3A8EF PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-10-19	Oliver Kruse	C-PRP	M1739807/443865049174172217577 : 8A6B33E143937095 PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1739807/443865049174172217577 : 8A6B33E143937095 PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2011-12-25	Emiel	F-ECM	Factor: 443865049174172217577
2011-02-07	Carsten Kossendey	NF-PM1	B1=95000, B2=1543750, E=6
2010-11-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-24	Architects Cubed	NF	no factor from 2^60 to 2^61