4 836 641 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
3314465398442173319753	22	71.5	2011-07-16 14:51:37

ECM

Digits	B1	Curves
25	50000	3 / 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
Verified (Factored)	1998-06-20	Gary Taylor	AFE7ED5DC54A0456	0
Verified (Factored)	2000-07-12	Bjoern M. Albrecht	AFE7ED5DC54A0456	3352122
Verified (Factored)	2000-12-07	Lou Giacalone	AFE7ED5DC54A0456	3195949

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	1D3A3D1D4C1C5E54	1	0	1	3
Verified	2018-03-29	deo2016	1D3A3D1D4C1C5E54	1	935210	1	3

History

Date	User	Type	Result
2023-04-14	Kevin_9611	NF-PM1	B1=320000, B2=224341260
2018-03-29	deo2016	C-PRP	M4836641/3314465398442173319753 : 1D3A3D1D4C1C5E54 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4836641/3314465398442173319753 : 1D3A3D1D4C1C5E54 PRP: Verified PRP without proof (not generated)
2011-07-16	USAFSS	F-PM1	Factor: 3314465398442173319753
2010-05-01	markr	NF	no factor from 2^61 to 2^62