3 934 451 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
3478793451458125538513	22	71.6	2009-10-19 00:56:51

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-04-21	Christopher Lund	058224E4FAC46EA9	0
Verified (Factored)	1999-12-01	Marcos Theophylactou	058224E4FAC46EA9	888426

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	96AE2DDF4D361C88	1	0	1	3
Verified	2017-12-31	Oliver Kruse	96AE2DDF4D361C88	1	2193934	1	3

History

Date	User	Type	Result
2022-05-25	Joss	NF-PM1	B1=200000, B2=119860650
2017-12-31	Oliver Kruse	C-PRP	M3934451/3478793451458125538513 : 96AE2DDF4D361C88 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3934451/3478793451458125538513 : 96AE2DDF4D361C88 PRP: Verified PRP without proof (not generated)
2009-10-19	Gerry Snyder	F-ECM	Factor: 3478793451458125538513
2009-07-12	Carsten Kossendey	NF-PM1	B1=20000, B2=285000
2008-12-26	Architects Cubed	NF	no factor from 2^60 to 2^61