7 505 873 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁷⁰

TF target 2⁶⁷

Factored

Factor	Digits	Bits	Date
404051130450778694929	21	68.5	2020-05-31 23:40:47

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Paul Victor Novarese	7FA7D4CA6A300B72	0	Mlucas,Ernst Mayer,v2.5 and later,(aka E2)
Factored	1999-11-17	C. Cooper / S. Boone	7FA7D4CA6A300B72	2079597	Windows,Prime95,v18,NT service,(aka WU5)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2020-06-02	Oliver Kruse	648B3F2C959F880F	1	219498	5	3
Verified	PRP without proof (not generated)	2020-06-03	marssystems	648B3F2C959F880F	1	3877616	5	3

History

Date	User	Type	Result
2025-10-16	Sid & Andy	NF-PM1	B1=2500000, B2=3943416750
2025-06-18	Greg	F	Factor: 404051130450778694929 / TF: 68-70
2020-06-03	marssystems	C-PRP	M7505873/404051130450778694929 : 648B3F2C959F880F
2020-06-02	Oliver Kruse	C-PRP	M7505873/404051130450778694929 : 648B3F2C959F880F
2020-05-31	chuenkit	F	Factor: 404051130450778694929 / TF: 68-69*
2018-07-31	ramgeis	NF	no factor TF: 67-68
2016-09-22	Gordon Spence	NF	no factor TF: 66-67
2015-06-09	VictordeHollander	NF	no factor TF: 65-66
2013-11-29	David Campeau	NF	no factor TF: 64-65
2013-10-18	Nesowa	NF	no factor TF: 63-64
2012-05-03	James Heinrich	NF-PM1	B1=145000, B2=3117500, E=6
2009-08-09	Carsten Kossendey	NF-PM1	B1=40000, B2=640000, E=6
1999-11-17	curtisc	C-LL	7FA7D4CA6A300B72
1998-08-09	-anonymous-	NF	no factor TF: 1-63
1998-08-09	-anonymous-	NF	no factor TF: 1-62
1998-07-21	-anonymous-	NF	no factor TF: 1-61