6 440 513 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
31968460006754961007	20	64.8	2014-08-05 22:54:44

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)	1999-10-21	Chris Maurice	AD5457FA4AACF262	3408323
Verified (Factored)	2001-10-20	Mark Ciesielski	AD5457FA4AACF262	3876127

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-12-17	Oliver Kruse	6797F2EEFC429617	1	3143312	5	3
Verified	2018-07-16	kkmrkkblmbrbk	6797F2EEFC429617	1	1328798	5	3

History

Date	User	Type	Result
2024-09-17	cramsey87	NF-PM1	B1=450000, B2=371368140
2023-05-11	This -Anonymous-	NF-PM1	B1=100000, B2=2000000, E=6
2022-03-20	LordJulius	NF	no factor from 2^62 to 2^63
2018-07-16	kkmrkkblmbrbk	C-PRP	M6440513/31968460006754961007 : 6797F2EEFC429617 PRP: Verified PRP without proof (not generated)
2017-12-17	Oliver Kruse	C-PRP	M6440513/31968460006754961007 : 6797F2EEFC429617 PRP: Verified PRP without proof (not generated)
2014-08-05	lycorn	F	Factor: 31968460006754961007 / TF: 64-65*
2014-08-02	Nesowa	NF	no factor from 2^63 to 2^64
2009-06-21	Carsten Kossendey	NF-PM1	B1=35000, B2=498750