4 253 429 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
51294930425738343649	20	65.5	2013-02-18 02:27:16
976796547324800704001287	24	79.7	2023-03-09 05:41:03

ECM

Digits	B1	Curves
25	50000	5 / 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)	1998-06-01	David Sagnol	ACF857589371CA67	0
Verified (Factored)	2000-04-19	Poul Poulsen	ACF857589371CA67	1414281

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	463971B22FBEC0C7	1	0	1	3
Verified (Factored)	2018-01-23	Oliver Kruse	463971B22FBEC0C7	1	2885106	1	3
Verified	2023-03-14	rucio	9E5BD2725DF194FE	2	4063687	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-09	976796547324800704001287	224000	119776800

History

Date	User	Type	Result
2023-03-14	curtisc	CERT	PRP Certification Proof certified good
2023-03-14	rucio	C-PRP	M4253429/51294930425738343649/976796547324800704001287 : 9E5BD2725DF194FE PRP proof power = 7 PRP: Verified Proof certified good
2023-03-09	USAFSS	F-PM1	Factor: 976796547324800704001287 / (P-1, B1=224000, B2=119776800)
2018-01-23	Oliver Kruse	C-PRP	M4253429/51294930425738343649 : 463971B22FBEC0C7 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4253429/51294930425738343649 : 463971B22FBEC0C7 PRP: Verified (Factored) PRP without proof (not generated)
2013-02-18	Xyzzy	F-ECM	Factor: 51294930425738343649
2012-01-31	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-08-18	Squeeky_Squirrel	NF-PM1	B1=50000, B2=762500, E=6
2011-01-07	markr	NF	no factor from 2^61 to 2^62
2009-08-01	Carsten Kossendey	NF-PM1	B1=25000, B2=337500