4 809 781 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
317445546001	12	38.2	old
766702461949917971897	21	69.4	2019-06-05 08:43:36

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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-20	Oliver Kruse	20718DF47E15897B	1	3631663	5	3
Verified (Factored)	2018-01-07	kkmrkkblmbrbk	20718DF47E15897B	1	3645374	5	3
Verified	2019-06-08	Daniil Tsarkov	20718DF47E15897B	2	3473379	5	3

History

Date	User	Type	Result
2023-10-26	USAFSS	NF-PM1	B1=240000, B2=91991760
2019-06-08	Daniil Tsarkov	C-PRP	M4809781/317445546001/766702461949917971897 : 20718DF47E15897B PRP: Verified PRP without proof (not generated)
2019-06-05	ATH	F-ECM	Factor: 766702461949917971897 / (ECM curve 1, B1=50000, B2=5000000, Sigma=2546061062879213)
2018-01-07	kkmrkkblmbrbk	C-PRP	M4809781/317445546001 : 20718DF47E15897B PRP: Verified PRP without proof (not generated)
2017-11-20	Oliver Kruse	C-PRP	M4809781/317445546001 : 20718DF47E15897B PRP: Verified PRP without proof (not generated)