2 834 329 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
6974412546660565399	19	62.6	2013-01-10 21:11:09
1040664114090508564583	22	69.8	2023-01-31 17:31:02
1127969593227878533991	22	69.9	2023-01-31 17:31:02

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
Verified (Factored)		Ralph Green,Jr.	428F5B94B397FC90	0
Verified (Factored)	1999-05-16	Duane M. Heller	428F5B94B397FC90	1770256

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-22	Oliver Kruse	51D12EDF26656B86	1	84628	5	3
Verified (Factored)	2017-12-07	kkmrkkblmbrbk	51D12EDF26656B86	1	2244215	5	3
Verified	2023-02-01	LordJulius	51D12EDF26656B86	3	1011636	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-31	1173837477457521523451688582703803784240753	360000	287380170

History

Date	User	Type	Result
2023-02-01	slandrum	CERT	PRP Certification Proof certified good
2023-02-01	LordJulius	C-PRP	M2834329/6974412546660565399/1040664114090508564583/1127969593227878533991 : 51D12EDF26656B86 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-31	USAFSS	F-PM1	Factors: 1040664114090508564583,1127969593227878533991 / (P-1, B1=360000, B2=287380170)
2017-12-07	kkmrkkblmbrbk	C-PRP	M2834329/6974412546660565399 : 51D12EDF26656B86 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-22	Oliver Kruse	C-PRP	M2834329/6974412546660565399 : 51D12EDF26656B86 PRP: Verified (Factored) PRP without proof (not generated)
2013-01-10	dbaugh	F	Factor: 6974412546660565399
2012-02-14	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