1 780 469 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
22529719458103749217	20	64.3	2010-10-05 19:36:09
7525296702243743073649	22	72.7	2015-06-17 11:21:21

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 Rhodes	3139B5F6200E0811	0
Verified (Factored)	1998-12-21	Bill Sturrock	3139B5F6200E0811	87657

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	36C437FD49E3D510	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-05	Oliver Kruse	2753CBC6374B6783	2	0	1	3
Verified	2017-11-11	kkmrkkblmbrbk	2753CBC6374B6783	2	1156199	1	3

P-1 factors

Date	Factor	B1	B2
2015-06-17	7525296702243743073649	500000	15000000

History

Date	User	Type	Result
2025-09-03	surisuri	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	36C437FD49E3D510 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-11-11	kkmrkkblmbrbk	C-PRP	M1780469/22529719458103749217/7525296702243743073649 : 2753CBC6374B6783 PRP: Verified PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1780469/22529719458103749217/7525296702243743073649 : 2753CBC6374B6783 PRP: Verified PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1780469/22529719458103749217/7525296702243743073649 : 2753CBC6374B6783 PRP without proof (not generated)
2015-06-17	alpertron	F-PM1	Factor: 7525296702243743073649 / (P-1, B1=500000, B2=15000000, E=12)
2010-10-05	Mistel	F-ECM	Factor: 22529719458103749217
2010-10-04	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-19	Architects Cubed	NF	no factor from 2^60 to 2^61