4 174 949 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6555823314094235063	19	62.5	2009-12-01 04:47:01
1213711806436894955844767	25	80.0	2023-01-25 17:26:39

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Dax Prather	F14D78F90B5DC2EF	0
Verified (Factored)	1999-12-08	Noel D'Souza	F14D78F90B5DC2EF	1898659

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	BC8D555AF23C3D83	1	0	1	3
Verified (Factored)	2018-01-16	Chang Chia-Tche	BC8D555AF23C3D83	1	3408956	1	3
Verified	2023-01-31	Perig	0F6EEC6826056A2C	2	2986674	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-25	1213711806436894955844767	337000	227966310

History

Date	User	Type	Result
2023-01-31	]mh[ Virtek	CERT	PRP Certification Proof certified good
2023-01-31	Perig	C-PRP	M4174949/6555823314094235063/1213711806436894955844767 : 0F6EEC6826056A2C PRP proof power = 7 PRP: Verified Proof certified good
2023-01-25	USAFSS	F-PM1	Factor: 1213711806436894955844767 / (P-1, B1=337000, B2=227966310)
2018-01-16	Chang Chia-Tche	C-PRP	M4174949/6555823314094235063 : BC8D555AF23C3D83 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4174949/6555823314094235063 : BC8D555AF23C3D83 PRP: Verified (Factored) PRP without proof (not generated)
2009-12-01	Aca Arsov	F-ECM	Factor: 6555823314094235063
2009-08-03	Carsten Kossendey	NF-PM1	B1=25000, B2=337500