1 810 433 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
4892496265924701193	19	62.1	2009-07-15 02:58:58
9996825084500209887439	22	73.1	2020-06-03 23:12:04
33022021039845711606457817	26	84.8	2023-07-25 14:47:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	135 / 640

Estimated T-Level: 26.1 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Dan Thomson	E337C45E2231B4C8	0
Verified (Factored)	1998-12-27	Lloyd A. Murray Jr.	E337C45E2231B4C8	607137

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-03	Oliver Kruse	DC99B4C01B22BAC5	1	0	1	3
Verified (Factored)	2017-11-05	kkmrkkblmbrbk	DC99B4C01B22BAC5	1	260132	1	3
Verified (Factored)	2020-06-04	M Miller	10C0D0784C82AA93	2	1470154	5	3
Verified (Factored)	2020-06-05	Luigi Morelli	10C0D0784C82AA93	2	937646	5	3
Verified	2023-07-25	Naegi Makoto	10C0D0784C82AA93	3	755074	5	3

History

Date	User	Type	Result
2023-07-25	Chad Steenerson	CERT	PRP Certification Proof certified good
2023-07-25	Naegi Makoto	C-PRP	M1810433/4892496265924701193/9996825084500209887439/33022021039845711606457817 : 10C0D0784C82AA93 PRP proof power = 7 PRP: Verified Proof certified good
2023-07-25	TJAOI	F-ECM	Factor: 33022021039845711606457817 / (ECM curve 42, B1=250000, B2=205401735, Sigma=5719412579058498)
2020-06-05	Luigi Morelli	C-PRP	M1810433/4892496265924701193/9996825084500209887439 : 10C0D0784C82AA93 PRP: Verified (Factored) PRP without proof (not generated)
2020-06-04	M Miller	C-PRP	M1810433/4892496265924701193/9996825084500209887439 : 10C0D0784C82AA93 PRP: Verified (Factored) PRP without proof (not generated)
2020-06-03	nordi	F-ECM	Factor: 9996825084500209887439 / (ECM curve 90, B1=50000, B2=5000000, Sigma=3825289340584285)
2017-11-05	kkmrkkblmbrbk	C-PRP	M1810433/4892496265924701193 : DC99B4C01B22BAC5 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1810433/4892496265924701193 : DC99B4C01B22BAC5 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2009-07-15	James Hintz	F-ECM	Factor: 4892496265924701193