2 821 517 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
8388057215423378263831	22	72.8	2013-03-31 18:26:36

ECM

Digits	B1	Curves
25	50000	94 / 280

Estimated T-Level: 21.7 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		phil kenny	5A149DF25B3A240B	0
Verified (Factored)	1999-07-26	Ben Tight	5A149DF25B3A240B	2005580

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-22	Oliver Kruse	B88738AC113549CE	1	1586966	5	3
Verified	2017-12-07	kkmrkkblmbrbk	B88738AC113549CE	1	1297943	5	3

History

Date	User	Type	Result
2023-01-29	USAFSS	NF-PM1	B1=360000, B2=287380170
2017-12-07	kkmrkkblmbrbk	C-PRP	M2821517/8388057215423378263831 : B88738AC113549CE PRP: Verified PRP without proof (not generated)
2017-10-22	Oliver Kruse	C-PRP	M2821517/8388057215423378263831 : B88738AC113549CE PRP: Verified PRP without proof (not generated)
2013-03-31	Torchwood Institute	F-ECM	Factor: 8388057215423378263831
2013-01-10	dbaugh	NF	no factor from 2^62 to 2^63
2012-02-20	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-02-12	Sturle Sunde	NF	no factor from 2^60 to 2^61